This namespace handles the GSL linear algebra functions. More...

Functions
double	householder_transform (vector &v)
	C++ version of gsl_linalg_householder_transform(). More...

double	householder_transform2 (double &alpha, vector &v)
	C++ version of gsl_linalg_householder_transform2(). More...

complex	complex_householder_transform (vector_complex &v)
	C++ version of gsl_linalg_complex_householder_transform(). More...

int	householder_hm (double tau, vector const &v, matrix &A)
	C++ version of gsl_linalg_householder_hm(). More...

int	householder_mh (double tau, vector const &v, matrix &A)
	C++ version of gsl_linalg_householder_mh(). More...

int	householder_hv (double tau, vector const &v, vector &w)
	C++ version of gsl_linalg_householder_hv(). More...

int	householder_hm1 (double tau, matrix &A)
	C++ version of gsl_linalg_householder_hm1(). More...

int	complex_householder_hm (complex &tau, vector_complex const &v, matrix_complex &A)
	C++ version of gsl_linalg_complex_householder_hm(). More...

int	complex_householder_mh (complex &tau, vector_complex const &v, matrix_complex &A)
	C++ version of gsl_linalg_complex_householder_mh(). More...

int	complex_householder_hv (complex &tau, vector_complex const &v, vector_complex &w)
	C++ version of gsl_linalg_complex_householder_hv(). More...

int	hessenberg_decomp (matrix &A, vector &tau)
	C++ version of gsl_linalg_hessenberg_decomp(). More...

int	hessenberg_unpack (matrix &H, vector &tau, matrix &U)
	C++ version of gsl_linalg_hessenberg_unpack(). More...

int	hessenberg_unpack_accum (matrix &H, vector &tau, matrix &U)
	C++ version of gsl_linalg_hessenberg_unpack_accum(). More...

int	hessenberg_set_zero (matrix &H)
	C++ version of gsl_linalg_hessenberg_set_zero(). More...

int	hessenberg_submatrix (matrix &M, matrix &A, size_t top, vector &tau)
	C++ version of gsl_linalg_hessenberg_submatrix(). More...

int	hesstri_decomp (matrix &A, matrix &B, matrix &U, matrix &V, vector &work)
	C++ version of gsl_linalg_hesstri_decomp(). More...

int	SV_decomp (matrix &A, matrix &V, vector &S, vector &work)
	C++ version of gsl_linalg_SV_decomp(). More...

int	SV_decomp_mod (matrix &A, matrix &X, matrix &V, vector &S, vector &work)
	C++ version of gsl_linalg_SV_decomp_mod(). More...

int	SV_decomp_jacobi (matrix &A, matrix &Q, vector &S)
	C++ version of gsl_linalg_SV_decomp_jacobi(). More...

int	SV_solve (matrix const &U, matrix const &Q, vector const &S, vector const &b, vector &x)
	C++ version of gsl_linalg_SV_solve(). More...

int	LU_decomp (matrix &A, permutation &p, int &signum)
	C++ version of gsl_linalg_LU_decomp(). More...

int	LU_solve (matrix const &LU, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_LU_solve(). More...

int	LU_svx (matrix const &LU, permutation const &p, vector &x)
	C++ version of gsl_linalg_LU_svx(). More...

int	LU_refine (matrix const &A, matrix const &LU, permutation const &p, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_LU_refine(). More...

int	LU_invert (matrix const &LU, permutation const &p, matrix &inverse)
	C++ version of gsl_linalg_LU_invert(). More...

double	LU_det (matrix &LU, int signum)
	C++ version of gsl_linalg_LU_det(). More...

double	LU_lndet (matrix &LU)
	C++ version of gsl_linalg_LU_lndet(). More...

int	LU_sgndet (matrix &lu, int signum)
	C++ version of gsl_linalg_LU_sgndet(). More...

int	complex_LU_decomp (matrix_complex &A, permutation &p, int &signum)
	C++ version of gsl_linalg_complex_LU_decomp(). More...

int	complex_LU_solve (matrix_complex const &LU, permutation const &p, vector_complex const &b, vector_complex &x)
	C++ version of gsl_linalg_complex_LU_solve(). More...

int	complex_LU_svx (matrix_complex const &LU, permutation const &p, vector_complex &x)
	C++ version of gsl_linalg_complex_LU_svx(). More...

int	complex_LU_refine (matrix_complex const &A, matrix_complex const &LU, permutation const &p, vector_complex const &b, vector_complex &x, vector_complex &residual)
	C++ version of gsl_linalg_complex_LU_refine(). More...

int	complex_LU_invert (matrix_complex const &LU, permutation const &p, matrix_complex &inverse)
	C++ version of gsl_linalg_complex_LU_invert(). More...

complex	complex_LU_det (matrix_complex &LU, int signum)
	C++ version of gsl_linalg_complex_LU_det(). More...

double	complex_LU_lndet (matrix_complex &LU)
	C++ version of gsl_linalg_complex_LU_lndet(). More...

complex	complex_LU_sgndet (matrix_complex &LU, int signum)
	C++ version of gsl_linalg_complex_LU_sgndet(). More...

int	QR_decomp (matrix &A, vector &tau)
	C++ version of gsl_linalg_QR_decomp(). More...

int	QR_solve (matrix const &QR, vector const &tau, vector const &b, vector &x)
	C++ version of gsl_linalg_QR_solve(). More...

int	QR_svx (matrix const &QR, vector const &tau, vector &x)
	C++ version of gsl_linalg_QR_svx(). More...

int	QR_lssolve (matrix const &QR, vector const &tau, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_QR_lssolve(). More...

int	QR_QRsolve (matrix &Q, matrix &R, vector const &b, vector &x)
	C++ version of gsl_linalg_QR_QRsolve(). More...

int	QR_Rsolve (matrix const &QR, vector const &b, vector &x)
	C++ version of gsl_linalg_QR_Rsolve(). More...

int	QR_Rsvx (matrix const &QR, vector &x)
	C++ version of gsl_linalg_QR_Rsvx(). More...

int	QR_update (matrix &Q, matrix &R, vector &w, vector const &v)
	C++ version of gsl_linalg_QR_update(). More...

int	QR_QTvec (matrix const &QR, vector const &tau, vector &v)
	C++ version of gsl_linalg_QR_QTvec(). More...

int	QR_Qvec (matrix const &QR, vector const &tau, vector &v)
	C++ version of gsl_linalg_QR_Qvec(). More...

int	QR_QTmat (matrix const &QR, vector const &tau, matrix &A)
	C++ version of gsl_linalg_QR_QTmat(). More...

int	QR_unpack (matrix const &QR, vector const &tau, matrix &Q, matrix &R)
	C++ version of gsl_linalg_QR_unpack(). More...

int	R_solve (matrix const &R, vector const &b, vector &x)
	C++ version of gsl_linalg_R_solve(). More...

int	R_svx (matrix const &R, vector &x)
	C++ version of gsl_linalg_R_svx(). More...

int	QRPT_decomp (matrix &A, vector &tau, permutation &p, int &signum, vector &norm)
	C++ version of gsl_linalg_QRPT_decomp(). More...

int	QRPT_decomp2 (matrix const &A, matrix &q, matrix &r, vector &tau, permutation &p, int &signum, vector &norm)
	C++ version of gsl_linalg_QRPT_decomp2(). More...

int	QRPT_solve (matrix const &QR, vector const &tau, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_QRPT_solve(). More...

int	QRPT_svx (matrix const &QR, vector const &tau, permutation const &p, vector &x)
	C++ version of gsl_linalg_QRPT_svx(). More...

int	QRPT_QRsolve (matrix const &Q, matrix const &R, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_QRPT_QRsolve(). More...

int	QRPT_Rsolve (matrix const &QR, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_QRPT_Rsolve(). More...

int	QRPT_Rsvx (matrix const &QR, permutation const &p, vector &x)
	C++ version of gsl_linalg_QRPT_Rsvx(). More...

int	QRPT_update (matrix &Q, matrix &R, permutation const &p, vector &u, vector const &v)
	C++ version of gsl_linalg_QRPT_update(). More...

int	LQ_decomp (matrix &A, vector &tau)
	C++ version of gsl_linalg_LQ_decomp(). More...

int	LQ_solve_T (matrix const &LQ, vector const &tau, vector const &b, vector &x)
	C++ version of gsl_linalg_LQ_solve_T(). More...

int	LQ_svx_T (matrix const &LQ, vector const &tau, vector &x)
	C++ version of gsl_linalg_LQ_svx_T(). More...

int	LQ_lssolve_T (matrix const &LQ, vector const &tau, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_LQ_lssolve_T(). More...

int	LQ_Lsolve_T (matrix const &LQ, vector const &b, vector &x)
	C++ version of gsl_linalg_LQ_Lsolve_T(). More...

int	LQ_Lsvx_T (matrix const &LQ, vector &x)
	C++ version of gsl_linalg_LQ_Lsvx_T(). More...

int	L_solve_T (matrix const &L, vector const &b, vector &x)
	C++ version of gsl_linalg_L_solve_T(). More...

int	LQ_vecQ (matrix const &LQ, vector const &tau, vector &v)
	C++ version of gsl_linalg_LQ_vecQ(). More...

int	LQ_vecQT (matrix const &LQ, vector const &tau, vector &v)
	C++ version of gsl_linalg_LQ_vecQT(). More...

int	LQ_unpack (matrix const &LQ, vector const &tau, matrix &Q, matrix &L)
	C++ version of gsl_linalg_LQ_unpack(). More...

int	LQ_update (matrix &Q, matrix &R, vector const &v, vector &w)
	C++ version of gsl_linalg_LQ_update(). More...

int	LQ_LQsolve (matrix &Q, matrix &L, vector const &b, vector &x)
	C++ version of gsl_linalg_LQ_LQsolve(). More...

int	PTLQ_decomp (matrix &A, vector &tau, permutation &p, int &signum, vector &norm)
	C++ version of gsl_linalg_PTLQ_decomp(). More...

int	PTLQ_decomp2 (matrix const &A, matrix &q, matrix &r, vector &tau, permutation &p, int *signum, vector &norm)
	C++ version of gsl_linalg_PTLQ_decomp2(). More...

int	PTLQ_decomp2 (matrix const &A, matrix &q, matrix &r, vector &tau, permutation &p, int &signum, vector &norm)
	C++ version of gsl_linalg_PTLQ_decomp2(). More...

int	PTLQ_solve_T (matrix const &QR, vector const &tau, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_PTLQ_solve_T(). More...

int	PTLQ_svx_T (matrix const &LQ, vector const &tau, permutation const &p, vector &x)
	C++ version of gsl_linalg_PTLQ_svx_T(). More...

int	PTLQ_LQsolve_T (matrix const &Q, matrix const &L, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_PTLQ_LQsolve_T(). More...

int	PTLQ_Lsolve_T (matrix const &LQ, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_PTLQ_Lsolve_T(). More...

int	PTLQ_Lsvx_T (matrix const &LQ, permutation const &p, vector &x)
	C++ version of gsl_linalg_PTLQ_Lsvx_T(). More...

int	PTLQ_update (matrix &Q, matrix &L, permutation const &p, vector const &v, vector &w)
	C++ version of gsl_linalg_PTLQ_update(). More...

int	cholesky_decomp (matrix &A)
	C++ version of gsl_linalg_cholesky_decomp(). More...

int	cholesky_solve (matrix const &cholesky, vector const &b, vector &x)
	C++ version of gsl_linalg_cholesky_solve(). More...

int	cholesky_svx (matrix const &cholesky, vector &x)
	C++ version of gsl_linalg_cholesky_svx(). More...

int	cholesky_invert (matrix &cholesky)
	C++ version of gsl_linalg_cholesky_invert(). More...

int	cholesky_decomp_unit (matrix &A, vector &D)
	C++ version of gsl_linalg_cholesky_decomp_unit(). More...

int	complex_cholesky_decomp (matrix_complex &A)
	C++ version of gsl_linalg_complex_cholesky_decomp(). More...

int	complex_cholesky_solve (matrix_complex const &cholesky, vector_complex const &b, vector_complex &x)
	C++ version of gsl_linalg_complex_cholesky_solve(). More...

int	complex_cholesky_svx (matrix_complex const &cholesky, vector_complex &x)
	C++ version of gsl_linalg_complex_cholesky_svx(). More...

int	symmtd_decomp (matrix &A, vector &tau)
	C++ version of gsl_linalg_symmtd_decomp(). More...

int	symmtd_unpack (matrix const &A, vector const &tau, matrix &Q, vector &diag, vector &subdiag)
	C++ version of gsl_linalg_symmtd_unpack(). More...

int	symmtd_unpack_T (matrix const &A, vector &diag, vector &subdiag)
	C++ version of gsl_linalg_symmtd_unpack_T(). More...

int	hermtd_decomp (matrix_complex &A, vector_complex &tau)
	C++ version of gsl_linalg_hermtd_decomp(). More...

int	hermtd_unpack (matrix_complex const &A, vector_complex const &tau, matrix_complex &U, vector &diag, vector &sudiag)
	C++ version of gsl_linalg_hermtd_unpack(). More...

int	hermtd_unpack_T (matrix_complex const &A, vector &diag, vector &subdiag)
	C++ version of gsl_linalg_hermtd_unpack_T(). More...

int	HH_solve (matrix &A, vector const &b, vector &x)
	C++ version of gsl_linalg_HH_solve(). More...

int	HH_svx (matrix &A, vector &x)
	C++ version of gsl_linalg_HH_svx(). More...

int	solve_symm_tridiag (vector const &diag, vector const &offdiag, vector const &b, vector &x)
	C++ version of gsl_linalg_solve_symm_tridiag(). More...

int	solve_tridiag (vector const &diag, vector const &abovediag, vector const &belowdiag, vector const &b, vector &x)
	C++ version of gsl_linalg_solve_tridiag(). More...

int	solve_symm_cyc_tridiag (vector const &diag, vector const &offdiag, vector const &b, vector &x)
	C++ version of gsl_linalg_solve_symm_cyc_tridiag(). More...

int	solve_cyc_tridiag (vector const &diag, vector const &abovediag, vector const &belowdiag, vector const &b, vector &x)
	C++ version of gsl_linalg_solve_cyc_tridiag(). More...

int	bidiag_decomp (matrix &A, vector &tau_U, vector &tau_V)
	C++ version of gsl_linalg_bidiag_decomp(). More...

int	bidiag_unpack (matrix const &A, vector const &tau_U, matrix &U, vector const &tau_V, matrix &V, vector &diag, vector &superdiag)
	C++ version of gsl_linalg_bidiag_unpack(). More...

int	bidiag_unpack2 (matrix &A, vector &tau_U, vector &tau_V, matrix &V)
	C++ version of gsl_linalg_bidiag_unpack2(). More...

int	bidiag_unpack_B (matrix const &A, vector &diag, vector &superdiag)
	C++ version of gsl_linalg_bidiag_unpack_B(). More...

int	balance_matrix (matrix &A, vector &D)
	C++ version of gsl_linalg_balance_matrix(). More...

int	balance_accum (matrix &A, vector &D)
	C++ version of gsl_linalg_balance_accum(). More...

int	balance_columns (matrix &A, vector &D)
	C++ version of gsl_linalg_balance_columns(). More...

int	SV_leverage (matrix const &U, vector &h)
	C++ version of gsl_linalg_SV_leverage(). More...

int	householder_left (double const tau, vector const &v, matrix &A, vector &work)
	C++ version of gsl_linalg_householder_left(). More...

int	householder_right (double const tau, vector const &v, matrix &A, vector &work)
	C++ version of gsl_linalg_householder_right(). More...

int	complex_householder_left (complex const tau, vector_complex const &v, matrix_complex &A, vector_complex &work)
	C++ version of gsl_linalg_complex_householder_left(). More...

int	LU_invx (matrix &LU, permutation const &p)
	C++ version of gsl_linalg_LU_invx(). More...

int	complex_LU_invx (matrix_complex &LU, permutation const &p)
	C++ version of gsl_linalg_complex_LU_invx(). More...

int	QR_QTmat_r (matrix const &QR, matrix const &T, matrix &B, matrix &work)
	C++ version of gsl_linalg_QR_QTmat_r(). More...

int	QR_matQ (matrix const &QR, vector const &tau, matrix &A)
	C++ version of gsl_linalg_QR_matQ(). More...

int	QR_unpack_r (matrix const &QR, matrix const &T, matrix &Q, matrix &R)
	C++ version of gsl_linalg_QR_unpack_r(). More...

int	QR_rcond (matrix const &QR, double &rcond, vector &work)
	C++ version of gsl_linalg_QR_rcond(). More...

int	QRPT_lssolve (matrix const &QR, vector const &tau, permutation const &p, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_QRPT_lssolve(). More...

int	QRPT_lssolve2 (matrix const &QR, vector const &tau, permutation const &p, vector const &b, size_t const rank, vector &x, vector &residual)
	C++ version of gsl_linalg_QRPT_lssolve2(). More...

size_t	QRPT_rank (matrix const &QR, double const tol)
	C++ version of gsl_linalg_QRPT_rank(). More...

int	QRPT_rcond (matrix const &QR, double &rcond, vector &work)
	C++ version of gsl_linalg_QRPT_rcond(). More...

int	COD_decomp (matrix &A, vector &tau_Q, vector &tau_Z, permutation &p, size_t &rank, vector &work)
	C++ version of gsl_linalg_COD_decomp(). More...

int	COD_decomp_e (matrix &A, vector &tau_Q, vector &tau_Z, permutation &p, double tol, size_t &rank, vector &work)
	C++ version of gsl_linalg_COD_decomp_e(). More...

int	COD_lssolve (matrix const &QRZT, vector const &tau_Q, vector const &tau_Z, permutation const &perm, size_t const rank, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_COD_lssolve(). More...

int	COD_lssolve2 (double const lambda, matrix const &QRZT, vector const &tau_Q, vector const &tau_Z, permutation const &perm, size_t const rank, vector const &b, vector &x, vector &residual, matrix &S, vector &work)
	C++ version of gsl_linalg_COD_lssolve2(). More...

int	COD_unpack (matrix const &QRZT, vector const &tau_Q, vector const &tau_Z, size_t const rank, matrix &Q, matrix &R, matrix &Z)
	C++ version of gsl_linalg_COD_unpack(). More...

int	COD_matZ (matrix const &QRZT, vector const &tau_Z, size_t const rank, matrix &A, vector &work)
	C++ version of gsl_linalg_COD_matZ(). More...

int	LQ_lssolve (matrix const &LQ, vector const &tau, vector const &b, vector &x, vector &residual)
	C++ version of gsl_linalg_LQ_lssolve(). More...

int	LQ_QTvec (matrix const &LQ, vector const &tau, vector &v)
	C++ version of gsl_linalg_LQ_QTvec(). More...

int	cholesky_decomp1 (matrix &A)
	C++ version of gsl_linalg_cholesky_decomp1(). More...

int	cholesky_solve_mat (matrix const &cholesky, matrix const &B, matrix &X)
	C++ version of gsl_linalg_cholesky_solve_mat(). More...

int	cholesky_svx_mat (matrix const &cholesky, matrix &X)
	C++ version of gsl_linalg_cholesky_svx_mat(). More...

int	cholesky_scale (matrix const &A, vector &S)
	C++ version of gsl_linalg_cholesky_scale(). More...

int	cholesky_scale_apply (matrix &A, vector const &S)
	C++ version of gsl_linalg_cholesky_scale_apply(). More...

int	cholesky_decomp2 (matrix &A, vector &S)
	C++ version of gsl_linalg_cholesky_decomp2(). More...

int	cholesky_svx2 (matrix const &LLT, vector const &S, vector &x)
	C++ version of gsl_linalg_cholesky_svx2(). More...

int	cholesky_solve2 (matrix const &LLT, vector const &S, vector const &b, vector &x)
	C++ version of gsl_linalg_cholesky_solve2(). More...

int	cholesky_rcond (matrix const &LLT, double &rcond, vector &work)
	C++ version of gsl_linalg_cholesky_rcond(). More...

int	pcholesky_decomp (matrix &A, permutation &p)
	C++ version of gsl_linalg_pcholesky_decomp(). More...

int	pcholesky_solve (matrix const &LDLT, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_pcholesky_solve(). More...

int	pcholesky_svx (matrix const &LDLT, permutation const &p, vector &x)
	C++ version of gsl_linalg_pcholesky_svx(). More...

int	pcholesky_decomp2 (matrix &A, permutation &p, vector &S)
	C++ version of gsl_linalg_pcholesky_decomp2(). More...

int	pcholesky_solve2 (matrix const &LDLT, permutation const &p, vector const &S, vector const &b, vector &x)
	C++ version of gsl_linalg_pcholesky_solve2(). More...

int	pcholesky_svx2 (matrix const &LDLT, permutation const &p, vector const &S, vector &x)
	C++ version of gsl_linalg_pcholesky_svx2(). More...

int	pcholesky_invert (matrix const &LDLT, permutation const &p, matrix &Ainv)
	C++ version of gsl_linalg_pcholesky_invert(). More...

int	pcholesky_rcond (matrix const &LDLT, permutation const &p, double &rcond, vector &work)
	C++ version of gsl_linalg_pcholesky_rcond(). More...

int	mcholesky_decomp (matrix &A, permutation &p, vector &E)
	C++ version of gsl_linalg_mcholesky_decomp(). More...

int	mcholesky_solve (matrix const &LDLT, permutation const &p, vector const &b, vector &x)
	C++ version of gsl_linalg_mcholesky_solve(). More...

int	mcholesky_svx (matrix const &LDLT, permutation const &p, vector &x)
	C++ version of gsl_linalg_mcholesky_svx(). More...

int	mcholesky_rcond (matrix const &LDLT, permutation const &p, double &rcond, vector &work)
	C++ version of gsl_linalg_mcholesky_rcond(). More...

int	mcholesky_invert (matrix const &LDLT, permutation const &p, matrix &Ainv)
	C++ version of gsl_linalg_mcholesky_invert(). More...

int	cholesky_band_decomp (matrix &A)
	C++ version of gsl_linalg_cholesky_band_decomp(). More...

int	cholesky_band_solve (matrix const &LLT, vector const &b, vector &x)
	C++ version of gsl_linalg_cholesky_band_solve(). More...

int	cholesky_band_svx (matrix const &LLT, vector &x)
	C++ version of gsl_linalg_cholesky_band_svx(). More...

int	cholesky_band_invert (matrix const &LLT, matrix &Ainv)
	C++ version of gsl_linalg_cholesky_band_invert(). More...

int	cholesky_band_unpack (matrix const &LLT, matrix &L)
	C++ version of gsl_linalg_cholesky_band_unpack(). More...

int	cholesky_band_rcond (matrix const &LLT, double &rcond, vector &work)
	C++ version of gsl_linalg_cholesky_band_rcond(). More...

int	ldlt_decomp (matrix &A)
	C++ version of gsl_linalg_ldlt_decomp(). More...

int	ldlt_solve (matrix const &LDLT, vector const &b, vector &x)
	C++ version of gsl_linalg_ldlt_solve(). More...

int	ldlt_svx (matrix const &LDLT, vector &x)
	C++ version of gsl_linalg_ldlt_svx(). More...

int	ldlt_rcond (matrix const &LDLT, double &rcond, vector &work)
	C++ version of gsl_linalg_ldlt_rcond(). More...

int	ldlt_band_decomp (matrix &A)
	C++ version of gsl_linalg_ldlt_band_decomp(). More...

int	ldlt_band_solve (matrix const &LDLT, vector const &b, vector &x)
	C++ version of gsl_linalg_ldlt_band_solve(). More...

int	ldlt_band_svx (matrix const &LDLT, vector &x)
	C++ version of gsl_linalg_ldlt_band_svx(). More...

int	ldlt_band_unpack (matrix const &LDLT, matrix &L, vector &D)
	C++ version of gsl_linalg_ldlt_band_unpack(). More...

int	ldlt_band_rcond (matrix const &LDLT, double *rcond, vector &work)
	C++ version of gsl_linalg_ldlt_band_rcond(). More...

int	ldlt_band_rcond (matrix const &LDLT, double &rcond, vector &work)
	C++ version of gsl_linalg_ldlt_band_rcond(). More...

int	tri_rcond (CBLAS_UPLO_t Uplo, matrix const &A, double &rcond, vector &work)
	C++ version of gsl_linalg_tri_rcond(). More...

int	tri_upper_rcond (matrix const &A, double &rcond, vector &work)
	C++ version of gsl_linalg_tri_upper_rcond(). More...

int	tri_lower_rcond (matrix const &A, double &rcond, vector &work)
	C++ version of gsl_linalg_tri_lower_rcond(). More...

int	tri_upper_invert (matrix &T)
	C++ version of gsl_linalg_tri_upper_invert(). More...

int	tri_lower_invert (matrix &T)
	C++ version of gsl_linalg_tri_lower_invert(). More...

int	tri_upper_unit_invert (matrix &T)
	C++ version of gsl_linalg_tri_upper_unit_invert(). More...

int	tri_lower_unit_invert (matrix &T)
	C++ version of gsl_linalg_tri_lower_unit_invert(). More...

int	tri_invert (CBLAS_UPLO_t Uplo, CBLAS_DIAG_t Diag, matrix &T)
	C++ version of gsl_linalg_tri_invert(). More...

int	complex_tri_invert (CBLAS_UPLO_t Uplo, CBLAS_DIAG_t Diag, matrix_complex &T)
	C++ version of gsl_linalg_complex_tri_invert(). More...

int	tri_LTL (matrix &L)
	C++ version of gsl_linalg_tri_LTL(). More...

int	tri_UL (matrix &LU)
	C++ version of gsl_linalg_tri_UL(). More...

int	complex_tri_LHL (matrix_complex &L)
	C++ version of gsl_linalg_complex_tri_LHL(). More...

int	complex_tri_UL (matrix_complex &LU)
	C++ version of gsl_linalg_complex_tri_UL(). More...

void	givens (double const a, double const b, double &c, double &s)
	C++ version of gsl_linalg_givens(). More...

void	givens_gv (vector &v, size_t const i, size_t const j, double const c, double const s)
	C++ version of gsl_linalg_givens_gv(). More...

int	LU_band_decomp (size_t const M, size_t const lb, size_t const ub, matrix &AB, vector_uint &piv)
	C++ version of gsl_linalg_LU_band_decomp(). More...

int	LU_band_solve (size_t const lb, size_t const ub, matrix const &LUB, vector_uint const &piv, vector const &b, vector &x)
	C++ version of gsl_linalg_LU_band_solve(). More...

int	LU_band_svx (size_t const lb, size_t const ub, matrix const &LUB, vector_uint const &piv, vector &x)
	C++ version of gsl_linalg_LU_band_svx(). More...

int	LU_band_unpack (size_t const M, size_t const lb, size_t const ub, matrix const &LUB, vector_uint const &piv, matrix &L, matrix &U)
	C++ version of gsl_linalg_LU_band_unpack(). More...

int	QR_decomp_old (matrix &A, vector &tau)
	C++ version of gsl_linalg_QR_decomp_old(). More...

int	complex_QR_decomp (matrix_complex &A, vector_complex &tau)
	C++ version of gsl_linalg_complex_QR_decomp(). More...

int	complex_QR_decomp_r (matrix_complex &A, matrix_complex &T)
	C++ version of gsl_linalg_complex_QR_decomp_r(). More...

int	complex_QR_solve (matrix_complex const &QR, vector_complex const &tau, vector_complex const &b, vector_complex &x)
	C++ version of gsl_linalg_complex_QR_solve(). More...

int	complex_QR_solve_r (matrix_complex const &QR, matrix_complex const &T, vector_complex const &b, vector_complex &x)
	C++ version of gsl_linalg_complex_QR_solve_r(). More...

int	complex_QR_svx (matrix_complex const &QR, vector_complex const &tau, vector_complex &x)
	C++ version of gsl_linalg_complex_QR_svx(). More...

int	complex_QR_lssolve (matrix_complex const &QR, vector_complex const &tau, vector_complex const &b, vector_complex &x, vector_complex &residual)
	C++ version of gsl_linalg_complex_QR_lssolve(). More...

int	complex_QR_lssolve_r (matrix_complex const &QR, matrix_complex const &T, vector_complex const &b, vector_complex &x, vector_complex &work)
	C++ version of gsl_linalg_complex_QR_lssolve_r(). More...

int	complex_QR_QHvec (matrix_complex const &QR, vector_complex const &tau, vector_complex &v)
	C++ version of gsl_linalg_complex_QR_QHvec(). More...

int	complex_QR_QHvec_r (matrix_complex const &QR, matrix_complex const &T, vector_complex &b, vector_complex &work)
	C++ version of gsl_linalg_complex_QR_QHvec_r(). More...

int	complex_QR_Qvec (matrix_complex const &QR, vector_complex const &tau, vector_complex &v)
	C++ version of gsl_linalg_complex_QR_Qvec(). More...

int	complex_QR_unpack (matrix_complex const &QR, vector_complex const &tau, matrix_complex &Q, matrix_complex &R)
	C++ version of gsl_linalg_complex_QR_unpack(). More...

int	complex_QR_unpack_r (matrix_complex const &QR, matrix_complex const &T, matrix_complex &Q, matrix_complex &R)
	C++ version of gsl_linalg_complex_QR_unpack_r(). More...

int	QR_band_decomp_L2 (size_t const M, size_t const p, size_t const q, matrix &AB, vector &tau)
	C++ version of gsl_linalg_QR_band_decomp_L2(). More...

int	QR_band_unpack_L2 (size_t const p, size_t const q, matrix const &QRB, vector const &tau, matrix &Q, matrix &R)
	C++ version of gsl_linalg_QR_band_unpack_L2(). More...

int	QR_UD_decomp (matrix &U, vector const &D, matrix &Y, matrix &T)
	C++ version of gsl_linalg_QR_UD_decomp(). More...

int	QR_UD_lssolve (matrix const &R, matrix const &Y, matrix const &T, vector const &b, vector &x, vector &work)
	C++ version of gsl_linalg_QR_UD_lssolve(). More...

int	QR_UR_decomp (matrix &S, matrix &A, matrix &T)
	C++ version of gsl_linalg_QR_UR_decomp(). More...

int	QR_UU_decomp (matrix &U, matrix &S, matrix &T)
	C++ version of gsl_linalg_QR_UU_decomp(). More...

int	QR_UU_lssolve (matrix const &R, matrix const &Y, matrix const &T, vector const &b, vector &x, vector &work)
	C++ version of gsl_linalg_QR_UU_lssolve(). More...

int	QR_UU_QTvec (matrix const &Y, matrix const &T, vector &b, vector &work)
	C++ version of gsl_linalg_QR_UU_QTvec(). More...

int	QR_UZ_decomp (matrix &S, matrix &A, matrix &T)
	C++ version of gsl_linalg_QR_UZ_decomp(). More...

int	QL_decomp (matrix &A, vector &tau)
	C++ version of gsl_linalg_QL_decomp(). More...

int	QL_unpack (matrix const &QL, vector const &tau, matrix &Q, matrix &L)
	C++ version of gsl_linalg_QL_unpack(). More...

Detailed Description

This namespace handles the GSL linear algebra functions.

Function Documentation

◆ balance_accum()

int gsl::linalg::balance_accum	(	matrix &	A,
		vector &	D
	)

inline

C++ version of gsl_linalg_balance_accum().

Parameters

A	A matrix
D	A vector

Returns: Error code on failure

Definition at line 1108 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ balance_columns()

int gsl::linalg::balance_columns	(	matrix &	A,
		vector &	D
	)

inline

C++ version of gsl_linalg_balance_columns().

Parameters

A	A matrix
D	A vector

Returns: Error code on failure

Definition at line 1116 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ balance_matrix()

int gsl::linalg::balance_matrix	(	matrix &	A,
		vector &	D
	)

inline

C++ version of gsl_linalg_balance_matrix().

Parameters

A	A matrix
D	A vector

Returns: Error code on failure

Definition at line 1100 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ bidiag_decomp()

int gsl::linalg::bidiag_decomp	(	matrix &	A,
		vector &	tau_U,
		vector &	tau_V
	)

inline

C++ version of gsl_linalg_bidiag_decomp().

Parameters

A	A matrix
tau_U	A vector
tau_V	A vector

Returns: Error code on failure

Definition at line 1058 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ bidiag_unpack()

int gsl::linalg::bidiag_unpack	(	matrix const &	A,
		vector const &	tau_U,
		matrix &	U,
		vector const &	tau_V,
		matrix &	V,
		vector &	diag,
		vector &	superdiag
	)

inline

C++ version of gsl_linalg_bidiag_unpack().

Parameters

A	A matrix
tau_U	A vector
U	An orthogonal matrix
tau_V	A vector
V	AN orthogonal matrix
diag	A vector of diagonal elements
superdiag	Off-diagonal vector (one element shorte than `diag`)

Returns: Error code on failure

Definition at line 1071 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ bidiag_unpack2()

int gsl::linalg::bidiag_unpack2	(	matrix &	A,
		vector &	tau_U,
		vector &	tau_V,
		matrix &	V
	)

inline

C++ version of gsl_linalg_bidiag_unpack2().

Parameters

A	A matrix
tau_U	A vector
tau_V	A vector
V	AN orthogonal matrix

Returns: Error code on failure

Definition at line 1083 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ bidiag_unpack_B()

int gsl::linalg::bidiag_unpack_B	(	matrix const &	A,
		vector &	diag,
		vector &	superdiag
	)

inline

C++ version of gsl_linalg_bidiag_unpack_B().

Parameters

A	A matrix
diag	A vector of diagonal elements
superdiag	Off-diagonal vector (one element shorte than `diag`)

Returns: Error code on failure

Definition at line 1092 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_band_decomp()

int gsl::linalg::cholesky_band_decomp ( matrix & A )

inline

C++ version of gsl_linalg_cholesky_band_decomp().

Parameters

A	Symmetric positive definite square matrix in banded format; Cholesky decomposition in same format on output [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1586 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_band_invert()

int gsl::linalg::cholesky_band_invert	(	matrix const &	LLT,
		matrix &	Ainv
	)

inline

C++ version of gsl_linalg_cholesky_band_invert().

Parameters

LLT	Cholesky decomposition in banded fomat
Ainv	A inverse [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1611 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_band_rcond()

int gsl::linalg::cholesky_band_rcond	(	matrix const &	LLT,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_cholesky_band_rcond().

Parameters

LLT	Cholesky decomposition in banded fomat
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1628 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ cholesky_band_solve()

int gsl::linalg::cholesky_band_solve	(	matrix const &	LLT,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_band_solve().

Parameters

LLT	Cholesky decomposition in banded fomat
b	Input vector
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1595 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_band_svx()

int gsl::linalg::cholesky_band_svx	(	matrix const &	LLT,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_band_svx().

Parameters

LLT	Cholesky decomposition in banded fomat
x	Input and solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1603 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_band_unpack()

int gsl::linalg::cholesky_band_unpack	(	matrix const &	LLT,
		matrix &	L
	)

inline

C++ version of gsl_linalg_cholesky_band_unpack().

Parameters

LLT	Cholesky decomposition in banded fomat
L	Matrix for solution [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1619 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_decomp()

int gsl::linalg::cholesky_decomp ( matrix & A )

inline

C++ version of gsl_linalg_cholesky_decomp().

Parameters

A A matrix

Returns: Error code on failure

Definition at line 874 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_decomp1()

int gsl::linalg::cholesky_decomp1 ( matrix & A )

inline

C++ version of gsl_linalg_cholesky_decomp1().

Parameters

A	A matrix to find a Cholesky decomposition for [return and input]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1379 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_decomp2()

int gsl::linalg::cholesky_decomp2	(	matrix &	A,
		vector &	S
	)

inline

C++ version of gsl_linalg_cholesky_decomp2().

Parameters

A	A matrix to find a Cholesky decomposition for [return and input]
S	Diagonal scaling matrix

Returns: GSL_SUCCESS or error code on failure

Definition at line 1419 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_decomp_unit()

int gsl::linalg::cholesky_decomp_unit	(	matrix &	A,
		vector &	D
	)

inline

C++ version of gsl_linalg_cholesky_decomp_unit().

Parameters

A	A matrix
D	A vector

Returns: Error code on failure

Definition at line 904 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ cholesky_invert()

int gsl::linalg::cholesky_invert ( matrix & cholesky )

inline

C++ version of gsl_linalg_cholesky_invert().

Parameters

cholesky A Cholesky decomposition matrix

Returns: Error code on failure

Definition at line 897 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_rcond()

int gsl::linalg::cholesky_rcond	(	matrix const &	LLT,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_cholesky_rcond().

Parameters

LLT	Cholesky decomposition
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1448 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ cholesky_scale()

int gsl::linalg::cholesky_scale	(	matrix const &	A,
		vector &	S
	)

inline

C++ version of gsl_linalg_cholesky_scale().

Parameters

A	Symmetric positive definite matrix
S	Scaling factors [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1403 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_scale_apply()

int gsl::linalg::cholesky_scale_apply	(	matrix &	A,
		vector const &	S
	)

inline

C++ version of gsl_linalg_cholesky_scale_apply().

Parameters

A	Symmetric positive definite matrix [return and input]
S	Scaling factors

Returns: GSL_SUCCESS or error code on failure

Definition at line 1411 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_solve()

int gsl::linalg::cholesky_solve	(	matrix const &	cholesky,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_solve().

Parameters

cholesky	A Cholesky decomposition matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 882 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_solve2()

int gsl::linalg::cholesky_solve2	(	matrix const &	LLT,
		vector const &	S,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_solve2().

Parameters

LLT	Cholesky decomposition
S	Diagonal scaling matrix
b	Vector b
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1438 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_solve_mat()

int gsl::linalg::cholesky_solve_mat	(	matrix const &	cholesky,
		matrix const &	B,
		matrix &	X
	)

inline

C++ version of gsl_linalg_cholesky_solve_mat().

Parameters

cholesky	A Cholesky decompostion
B	A matrix
X	A matrix

Returns: GSL_SUCCESS or error code on failure

Definition at line 1387 of file linalg.hpp.

References gsl::matrix::get().

◆ cholesky_svx()

int gsl::linalg::cholesky_svx	(	matrix const &	cholesky,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_svx().

Parameters

cholesky	A Cholesky decomposition matrix
x	A vector

Returns: Error code on failure

Definition at line 890 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_svx2()

int gsl::linalg::cholesky_svx2	(	matrix const &	LLT,
		vector const &	S,
		vector &	x
	)

inline

C++ version of gsl_linalg_cholesky_svx2().

Parameters

LLT	Cholesky decomposition
S	Diagonal scaling matrix
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1428 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ cholesky_svx_mat()

int gsl::linalg::cholesky_svx_mat	(	matrix const &	cholesky,
		matrix &	X
	)

inline

C++ version of gsl_linalg_cholesky_svx_mat().

Parameters

cholesky	UNDOCUMENTED
X	UNDOCUMENTED

Returns: UNDOCUMENTED

Definition at line 1395 of file linalg.hpp.

References gsl::matrix::get().

◆ COD_decomp()

int gsl::linalg::COD_decomp	(	matrix &	A,
		vector &	tau_Q,
		vector &	tau_Z,
		permutation &	p,
		size_t &	rank,
		vector &	work
	)

inline

C++ version of gsl_linalg_COD_decomp().

Parameters

A	A matrix
tau_Q	A vector: Householder scalar [return]
tau_Z	A vector: Householder scalar [return]
p	A permutation [return]
rank	Rank [return]
work	A workspace vector of length N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1268 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ COD_decomp_e()

int gsl::linalg::COD_decomp_e	(	matrix &	A,
		vector &	tau_Q,
		vector &	tau_Z,
		permutation &	p,
		double	tol,
		size_t &	rank,
		vector &	work
	)

inline

C++ version of gsl_linalg_COD_decomp_e().

Parameters

A	A matrix
tau_Q	A vector: Householder scalar [return]
tau_Z	A vector: Householder scalar [return]
p	A permutation [return]
rank	Rank [return]
tol	A tiolerance
work	A workspace vector of length N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1283 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ COD_lssolve()

int gsl::linalg::COD_lssolve	(	matrix const &	QRZT,
		vector const &	tau_Q,
		vector const &	tau_Z,
		permutation const &	perm,
		size_t const	rank,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_COD_lssolve().

Parameters

QRZT	The QRTZ decompostion of a matrix A: matrix
tau_Q	The QRTZ decompostion of a matrix A: tau_Q
tau_Z	The QRTZ decompostion of a matrix A: tau_Z
perm	The QRTZ decompostion of a matrix A: permutation
rank	The QRTZ decompostion of a matrix A: rank
b	Vector
x	Vector for solution [return]
residual	Residual vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1299 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ COD_lssolve2()

int gsl::linalg::COD_lssolve2	(	double const	lambda,
		matrix const &	QRZT,
		vector const &	tau_Q,
		vector const &	tau_Z,
		permutation const &	perm,
		size_t const	rank,
		vector const &	b,
		vector &	x,
		vector &	residual,
		matrix &	S,
		vector &	work
	)

inline

C++ version of gsl_linalg_COD_lssolve2().

Parameters

lambda	Parameter
QRZT	The QRTZ decompostion of a matrix A: matrix
tau_Q	The QRTZ decompostion of a matrix A: tau_Q
tau_Z	The QRTZ decompostion of a matrix A: tau_Z
perm	The QRTZ decompostion of a matrix A: permutation
rank	The QRTZ decompostion of a matrix A: rank
b	Vector
x	Vector for solution [return]
residual	Residual vector [return]
S	Rank by rank matrix for work
work	Wrokspace vector of length rank

Returns: GSL_SUCCESS or error code on failure

Definition at line 1319 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ COD_matZ()

int gsl::linalg::COD_matZ	(	matrix const &	QRZT,
		vector const &	tau_Z,
		size_t const	rank,
		matrix &	A,
		vector &	work
	)

inline

C++ version of gsl_linalg_COD_matZ().

Parameters

QRZT	The QRTZ decompostion of a matrix A: matrix
tau_Z	The QRTZ decompostion of a matrix A: tau_Z
rank	The QRTZ decompostion of a matrix A: rank
A	Matrix to right-multiply by
work	Workspace

Returns: GSL_SUCCESS or error code on failure

Definition at line 1350 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ COD_unpack()

int gsl::linalg::COD_unpack	(	matrix const &	QRZT,
		vector const &	tau_Q,
		vector const &	tau_Z,
		size_t const	rank,
		matrix &	Q,
		matrix &	R,
		matrix &	Z
	)

inline

C++ version of gsl_linalg_COD_unpack().

Parameters

QRZT	The QRTZ decompostion of a matrix A: matrix
tau_Q	The QRTZ decompostion of a matrix A: tau_Q
tau_Z	The QRTZ decompostion of a matrix A: tau_Z
rank	The QRTZ decompostion of a matrix A: rank
Q	The matrix Q [return]
R	The matrix R [return]
Z	The matrix Z [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1337 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ complex_cholesky_decomp()

int gsl::linalg::complex_cholesky_decomp ( matrix_complex & A )

inline

C++ version of gsl_linalg_complex_cholesky_decomp().

Parameters

A A matrix

Returns: Error code on failure

Definition at line 911 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_cholesky_solve()

int gsl::linalg::complex_cholesky_solve	(	matrix_complex const &	cholesky,
		vector_complex const &	b,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_cholesky_solve().

Parameters

cholesky	A Cholesky decomposition matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 920 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_cholesky_svx()

int gsl::linalg::complex_cholesky_svx	(	matrix_complex const &	cholesky,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_cholesky_svx().

Parameters

cholesky	A Cholesky decomposition matrix
x	A vector

Returns: Error code on failure

Definition at line 929 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_householder_hm()

int gsl::linalg::complex_householder_hm	(	complex &	tau,
		vector_complex const &	v,
		matrix_complex &	A
	)

inline

C++ version of gsl_linalg_complex_householder_hm().

Parameters

tau	A scalar
v	A vector
A	A matrix

Returns: Error code on failure

Definition at line 102 of file linalg.hpp.

References gsl::complex::get(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_householder_hv()

int gsl::linalg::complex_householder_hv	(	complex &	tau,
		vector_complex const &	v,
		vector_complex &	w
	)

inline

C++ version of gsl_linalg_complex_householder_hv().

Parameters

tau	A scalar
v	A vector
w	Another vector

Returns: Error code on failure

Definition at line 120 of file linalg.hpp.

References gsl::complex::get(), and gsl::vector_complex::get().

◆ complex_householder_left()

int gsl::linalg::complex_householder_left	(	complex const	tau,
		vector_complex const &	v,
		matrix_complex &	A,
		vector_complex &	work
	)

inline

C++ version of gsl_linalg_complex_householder_left().

Parameters

tau	UNDOCUMENTED
v	UNDOCUMENTED
A	UNDOCUMENTED
work	UNDOCUMENTED

Returns: UNDOCUMENTED

Definition at line 1155 of file linalg.hpp.

References gsl::complex::get(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_householder_mh()

int gsl::linalg::complex_householder_mh	(	complex &	tau,
		vector_complex const &	v,
		matrix_complex &	A
	)

inline

C++ version of gsl_linalg_complex_householder_mh().

Parameters

tau	A scalar
v	A vector
A	A matrix

Returns: Error code on failure

Definition at line 111 of file linalg.hpp.

References gsl::complex::get(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_householder_transform()

complex gsl::linalg::complex_householder_transform ( vector_complex & v )

inline

C++ version of gsl_linalg_complex_householder_transform().

Parameters

v A vector

Returns: The Householder transform

Definition at line 58 of file linalg.hpp.

References gsl::vector_complex::get().

◆ complex_LU_decomp()

int gsl::linalg::complex_LU_decomp	(	matrix_complex &	A,
		permutation &	p,
		int &	signum
	)

inline

C++ version of gsl_linalg_complex_LU_decomp().

Parameters

A	A matrix
p	A permutation
signum	The sign of the permutation

Returns: Error code on failure

Definition at line 325 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::permutation::get().

◆ complex_LU_det()

complex gsl::linalg::complex_LU_det	(	matrix_complex &	LU,
		int	signum
	)

inline

C++ version of gsl_linalg_complex_LU_det().

Parameters

LU	An LU decomposition matrix
signum	The sign of the permutation

Returns: Error code on failure

Definition at line 377 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_LU_invert()

int gsl::linalg::complex_LU_invert	(	matrix_complex const &	LU,
		permutation const &	p,
		matrix_complex &	inverse
	)

inline

C++ version of gsl_linalg_complex_LU_invert().

Parameters

LU	An LU decomposition matrix
p	A permutation
inverse	The inverse matrix

Returns: Error code on failure

Definition at line 368 of file linalg.hpp.

References gsl::complex::get(), gsl::matrix_complex::get(), gsl::permutation::get(), and gsl::cpx::inverse().

◆ complex_LU_invx()

int gsl::linalg::complex_LU_invx	(	matrix_complex &	LU,
		permutation const &	p
	)

inline

C++ version of gsl_linalg_complex_LU_invx().

Parameters

LU	LU matrix; also return matrix
p	Permutation from LU decomposition

Returns: GSL_SUCCESS or error code on failure

Definition at line 1172 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::permutation::get().

◆ complex_LU_lndet()

double gsl::linalg::complex_LU_lndet ( matrix_complex & LU )

inline

C++ version of gsl_linalg_complex_LU_lndet().

Parameters

LU	An LU decomposition matrix

Returns: The determinant of the matrix with LU decomposition LU

Definition at line 384 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_LU_refine()

int gsl::linalg::complex_LU_refine	(	matrix_complex const &	A,
		matrix_complex const &	LU,
		permutation const &	p,
		vector_complex const &	b,
		vector_complex &	x,
		vector_complex &	residual
	)

inline

C++ version of gsl_linalg_complex_LU_refine().

Parameters

A	A matrix
LU	An LU decomposition matrix
p	A permutation
b	A vector
x	A vector
residual	A residual vector

Returns: Error code on failure

Definition at line 357 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), gsl::permutation::get(), gsl::vector::get(), gsl::vector_complex::get(), and gsl::multifit::nlinear::residual().

◆ complex_LU_sgndet()

complex gsl::linalg::complex_LU_sgndet	(	matrix_complex &	LU,
		int	signum
	)

inline

C++ version of gsl_linalg_complex_LU_sgndet().

Parameters

LU	An LU decomposition matrix
signum	The sign of the permutation

Returns: The logarithm of the determinant of the matrix with LU decomposition LU

Definition at line 392 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_LU_solve()

int gsl::linalg::complex_LU_solve	(	matrix_complex const &	LU,
		permutation const &	p,
		vector_complex const &	b,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_LU_solve().

Parameters

LU	An LU decomposition matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 335 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), gsl::permutation::get(), and gsl::vector_complex::get().

◆ complex_LU_svx()

int gsl::linalg::complex_LU_svx	(	matrix_complex const &	LU,
		permutation const &	p,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_LU_svx().

Parameters

LU	An LU decomposition matrix
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 345 of file linalg.hpp.

References gsl::matrix_complex::get(), gsl::permutation::get(), and gsl::vector_complex::get().

◆ complex_QR_decomp()

int gsl::linalg::complex_QR_decomp	(	matrix_complex &	A,
		vector_complex &	tau
	)

inline

C++ version of gsl_linalg_complex_QR_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 1915 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_decomp_r()

int gsl::linalg::complex_QR_decomp_r	(	matrix_complex &	A,
		matrix_complex &	T
	)

inline

C++ version of gsl_linalg_complex_QR_decomp_r().

Parameters

A	A matrix
T	Upper triangular matrix

Returns: Error code on failure

Definition at line 1923 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_QR_lssolve()

int gsl::linalg::complex_QR_lssolve	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		vector_complex const &	b,
		vector_complex &	x,
		vector_complex &	residual
	)

inline

C++ version of gsl_linalg_complex_QR_lssolve().

Parameters

QR	QR decomposition
tau	A vector
b	A vector
x	A vector
residual	Residual vector [return]

Returns: Error code on failure

Definition at line 1966 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), gsl::vector::get(), gsl::vector_complex::get(), and gsl::multifit::nlinear::residual().

◆ complex_QR_lssolve_r()

int gsl::linalg::complex_QR_lssolve_r	(	matrix_complex const &	QR,
		matrix_complex const &	T,
		vector_complex const &	b,
		vector_complex &	x,
		vector_complex &	work
	)

inline

C++ version of gsl_linalg_complex_QR_lssolve_r().

Parameters

QR	QR decomposition
T	An upper triangular matrix
b	A vector
x	A vector
work	A workspace vector

Returns: Error code on failure

Definition at line 1980 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_QHvec()

int gsl::linalg::complex_QR_QHvec	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		vector_complex &	v
	)

inline

C++ version of gsl_linalg_complex_QR_QHvec().

Parameters

QR	QR decomposition
tau	A vector
v	A vector [return]

Returns: Error code on failure

Definition at line 1992 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_QHvec_r()

int gsl::linalg::complex_QR_QHvec_r	(	matrix_complex const &	QR,
		matrix_complex const &	T,
		vector_complex &	b,
		vector_complex &	work
	)

inline

C++ version of gsl_linalg_complex_QR_QHvec_r().

Parameters

QR	QR decomposition
T	An upper triangular matrix
b	A vector
work	A workspace vector

Returns: Error code on failure

Definition at line 2003 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_Qvec()

int gsl::linalg::complex_QR_Qvec	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		vector_complex &	v
	)

inline

C++ version of gsl_linalg_complex_QR_Qvec().

Parameters

QR	QR decomposition
tau	A vector
v	A vector [return]

Returns: Error code on failure

Definition at line 2013 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_solve()

int gsl::linalg::complex_QR_solve	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		vector_complex const &	b,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_QR_solve().

Parameters

QR	QR decomposition
tau	A vector
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1933 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_solve_r()

int gsl::linalg::complex_QR_solve_r	(	matrix_complex const &	QR,
		matrix_complex const &	T,
		vector_complex const &	b,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_QR_solve_r().

Parameters

QR	QR decomposition
T	Upper triangular matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1944 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_svx()

int gsl::linalg::complex_QR_svx	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		vector_complex &	x
	)

inline

C++ version of gsl_linalg_complex_QR_svx().

Parameters

QR	QR decomposition
tau	A vector
x	A vector

Returns: Error code on failure

Definition at line 1954 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_unpack()

int gsl::linalg::complex_QR_unpack	(	matrix_complex const &	QR,
		vector_complex const &	tau,
		matrix_complex &	Q,
		matrix_complex &	R
	)

inline

C++ version of gsl_linalg_complex_QR_unpack().

Parameters

QR	QR decomposition
tau	A vector
Q	Unpacked Q[return]
R	Unpacked R [return]

Returns: Error code on failure

Definition at line 2024 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ complex_QR_unpack_r()

int gsl::linalg::complex_QR_unpack_r	(	matrix_complex const &	QR,
		matrix_complex const &	T,
		matrix_complex &	Q,
		matrix_complex &	R
	)

inline

C++ version of gsl_linalg_complex_QR_unpack_r().

Parameters

QR	QR decomposition
T	An upper triangular matrix
Q	Unpacked Q[return]
R	Unpacked R [return]

Returns: Error code on failure

Definition at line 2035 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_tri_invert()

int gsl::linalg::complex_tri_invert	(	CBLAS_UPLO_t	Uplo,
		CBLAS_DIAG_t	Diag,
		matrix_complex &	T
	)

inline

C++ version of gsl_linalg_complex_tri_invert().

Parameters

Uplo	Upper or lower triangle
Diag	Specify whether the matrix is unit triangular
T	The matrix [input and return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1800 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_tri_LHL()

int gsl::linalg::complex_tri_LHL ( matrix_complex & L )

inline

C++ version of gsl_linalg_complex_tri_LHL().

Parameters

L	Matrix [input and output]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1819 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ complex_tri_UL()

int gsl::linalg::complex_tri_UL ( matrix_complex & LU )

inline

C++ version of gsl_linalg_complex_tri_UL().

Parameters

LU	Matrix [input and output]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1826 of file linalg.hpp.

References gsl::matrix_complex::get().

◆ givens()

void gsl::linalg::givens	(	double const	a,
		double const	b,
		double &	c,
		double &	s
	)

inline

C++ version of gsl_linalg_givens().

Parameters

a	A real number
b	A real number
c	A cosine [return]
s	A sine [return]

Definition at line 1835 of file linalg.hpp.

References gsl::sf::mathieu::a(), and gsl::sf::mathieu::b().

◆ givens_gv()

void gsl::linalg::givens_gv	(	vector &	v,
		size_t const	i,
		size_t const	j,
		double const	c,
		double const	s
	)

inline

C++ version of gsl_linalg_givens_gv().

Parameters

v	A vector
i	Index of vector
j	Index of vector
c	A cosine [return]
s	A sine [return]

Definition at line 1845 of file linalg.hpp.

References gsl::vector::get().

◆ hermtd_decomp()

int gsl::linalg::hermtd_decomp	(	matrix_complex &	A,
		vector_complex &	tau
	)

inline

C++ version of gsl_linalg_hermtd_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 966 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector_complex::get().

◆ hermtd_unpack()

int gsl::linalg::hermtd_unpack	(	matrix_complex const &	A,
		vector_complex const &	tau,
		matrix_complex &	U,
		vector &	diag,
		vector &	sudiag
	)

inline

C++ version of gsl_linalg_hermtd_unpack().

Parameters

A	A matrix
tau	A vector
U	A unitary matrix
diag	A vector of diagonal elements
sudiag	The vector of subdiagonal elements

Returns: Error code on failure

Definition at line 977 of file linalg.hpp.

References gsl::matrix_complex::get(), gsl::vector::get(), and gsl::vector_complex::get().

◆ hermtd_unpack_T()

int gsl::linalg::hermtd_unpack_T	(	matrix_complex const &	A,
		vector &	diag,
		vector &	subdiag
	)

inline

C++ version of gsl_linalg_hermtd_unpack_T().

Parameters

A	A matrix
diag	A vector of diagonal elements
subdiag	The vector of subdiagonal elements

Returns: Error code on failure

Definition at line 987 of file linalg.hpp.

References gsl::matrix_complex::get(), and gsl::vector::get().

◆ hessenberg_decomp()

int gsl::linalg::hessenberg_decomp	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_hessenberg_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 128 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ hessenberg_set_zero()

int gsl::linalg::hessenberg_set_zero ( matrix & H )

inline

C++ version of gsl_linalg_hessenberg_set_zero().

Parameters

H	An upper Hessenberg matrix

Returns: Error code on failure

Definition at line 153 of file linalg.hpp.

References gsl::matrix::get().

◆ hessenberg_submatrix()

int gsl::linalg::hessenberg_submatrix	(	matrix &	M,
		matrix &	A,
		size_t	top,
		vector &	tau
	)

inline

C++ version of gsl_linalg_hessenberg_submatrix().

Parameters

M	A matrix
A	A matrix
top	An integer
tau	A vector

Returns: Error code on failure

Definition at line 162 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ hessenberg_unpack()

int gsl::linalg::hessenberg_unpack	(	matrix &	H,
		vector &	tau,
		matrix &	U
	)

inline

C++ version of gsl_linalg_hessenberg_unpack().

Parameters

H	An upper Hessenberg matrix
tau	A vector
U	An orthogonal matrix

Returns: Error code on failure

Definition at line 137 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ hessenberg_unpack_accum()

int gsl::linalg::hessenberg_unpack_accum	(	matrix &	H,
		vector &	tau,
		matrix &	U
	)

inline

C++ version of gsl_linalg_hessenberg_unpack_accum().

Parameters

H	An upper Hessenberg matrix
tau	A vector
U	An orthogonal matrix

Returns: Error code on failure

Definition at line 146 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ hesstri_decomp()

int gsl::linalg::hesstri_decomp	(	matrix &	A,
		matrix &	B,
		matrix &	U,
		matrix &	V,
		vector &	work
	)

inline

C++ version of gsl_linalg_hesstri_decomp().

Parameters

A	A matrix
B	A matrix
U	An orthogonal matrix
V	An orthogonal matrix
work	A vector

Returns: Error code on failure

Definition at line 182 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ HH_solve()

int gsl::linalg::HH_solve	(	matrix &	A,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_HH_solve().

Parameters

A	A matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 996 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ HH_svx()

int gsl::linalg::HH_svx	(	matrix &	A,
		vector &	x
	)

inline

C++ version of gsl_linalg_HH_svx().

Parameters

A	A matrix
x	A vector

Returns: Error code on failure

Definition at line 1004 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ householder_hm()

int gsl::linalg::householder_hm	(	double	tau,
		vector const &	v,
		matrix &	A
	)

inline

C++ version of gsl_linalg_householder_hm().

Parameters

tau	A scalar
v	A vector
A	A matrix

Returns: Error code on failure

Definition at line 67 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ householder_hm1()

int gsl::linalg::householder_hm1	(	double	tau,
		matrix &	A
	)

inline

C++ version of gsl_linalg_householder_hm1().

Parameters

tau	A scalar
A	A matrix

Returns: Error code on failure

Definition at line 93 of file linalg.hpp.

References gsl::matrix::get().

◆ householder_hv()

int gsl::linalg::householder_hv	(	double	tau,
		vector const &	v,
		vector &	w
	)

inline

C++ version of gsl_linalg_householder_hv().

Parameters

tau	A scalar
v	A vector
w	Another vector

Returns: Error code on failure

Definition at line 85 of file linalg.hpp.

References gsl::vector::get().

◆ householder_left()

int gsl::linalg::householder_left	(	double const	tau,
		vector const &	v,
		matrix &	A,
		vector &	work
	)

inline

C++ version of gsl_linalg_householder_left().

Parameters

tau	UNDOCUMENTED
v	UNDOCUMENTED
A	UNDOCUMENTED
work	UNDOCUMENTED

Returns: UNDOCUMENTED

Definition at line 1134 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ householder_mh()

int gsl::linalg::householder_mh	(	double	tau,
		vector const &	v,
		matrix &	A
	)

inline

C++ version of gsl_linalg_householder_mh().

Parameters

tau	A scalar
v	A vector
A	A matrix

Returns: Error code on failure

Definition at line 76 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ householder_right()

int gsl::linalg::householder_right	(	double const	tau,
		vector const &	v,
		matrix &	A,
		vector &	work
	)

inline

C++ version of gsl_linalg_householder_right().

Parameters

tau	UNDOCUMENTED
v	UNDOCUMENTED
A	UNDOCUMENTED
work	UNDOCUMENTED

Returns: UNDOCUMENTED

Definition at line 1145 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ householder_transform()

double gsl::linalg::householder_transform ( vector & v )

inline

C++ version of gsl_linalg_householder_transform().

Parameters

v A vector

Returns: The Householder transform

Definition at line 43 of file linalg.hpp.

References gsl::vector::get().

◆ householder_transform2()

double gsl::linalg::householder_transform2	(	double &	alpha,
		vector &	v
	)

inline

C++ version of gsl_linalg_householder_transform2().

Parameters

alpha	A scalar [modified]
v	A vector

Returns: The Householder transform

Definition at line 51 of file linalg.hpp.

References gsl::vector::get().

◆ L_solve_T()

int gsl::linalg::L_solve_T	(	matrix const &	L,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_L_solve_T().

Parameters

L	A matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 703 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ ldlt_band_decomp()

int gsl::linalg::ldlt_band_decomp ( matrix & A )

inline

C++ version of gsl_linalg_ldlt_band_decomp().

Parameters

A	Symmetric nonsingular matrix in banded format; LDLt decomposition in same format on output [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1668 of file linalg.hpp.

References gsl::matrix::get().

◆ ldlt_band_rcond() [1/2]

int gsl::linalg::ldlt_band_rcond	(	matrix const &	LDLT,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_ldlt_band_rcond().

Parameters

LDLT	LDLt matrix in banded format
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1712 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ ldlt_band_rcond() [2/2]

int gsl::linalg::ldlt_band_rcond	(	matrix const &	LDLT,
		double *	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_ldlt_band_rcond().

Parameters

LDLT	LDLt matrix in banded format
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1703 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ ldlt_band_solve()

int gsl::linalg::ldlt_band_solve	(	matrix const &	LDLT,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_ldlt_band_solve().

Parameters

LDLT	LDLt matrix in banded format
b	Input vector
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1677 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ ldlt_band_svx()

int gsl::linalg::ldlt_band_svx	(	matrix const &	LDLT,
		vector &	x
	)

inline

C++ version of gsl_linalg_ldlt_band_svx().

Parameters

LDLT	LDLt matrix in banded format
x	Input and solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1685 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ ldlt_band_unpack()

int gsl::linalg::ldlt_band_unpack	(	matrix const &	LDLT,
		matrix &	L,
		vector &	D
	)

inline

C++ version of gsl_linalg_ldlt_band_unpack().

Parameters

LDLT	LDLt matrix in banded format
L	Matrix L [return]
D	Diagonal matrix [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1694 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ ldlt_decomp()

int gsl::linalg::ldlt_decomp ( matrix & A )

inline

C++ version of gsl_linalg_ldlt_decomp().

Parameters

A	Symmetric nonsingular matrix and LDLt decomposition [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1635 of file linalg.hpp.

References gsl::matrix::get().

◆ ldlt_rcond()

int gsl::linalg::ldlt_rcond	(	matrix const &	LDLT,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_ldlt_rcond().

Parameters

LDLT	LDLt decomposition
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1660 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ ldlt_solve()

int gsl::linalg::ldlt_solve	(	matrix const &	LDLT,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_ldlt_solve().

Parameters

LDLT	LDLt decomposition
b	Input vector
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1643 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ ldlt_svx()

int gsl::linalg::ldlt_svx	(	matrix const &	LDLT,
		vector &	x
	)

inline

C++ version of gsl_linalg_ldlt_svx().

Parameters

LDLT	LDLt decomposition
x	Input and solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1651 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_decomp()

int gsl::linalg::LQ_decomp	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_LQ_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 646 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_LQsolve()

int gsl::linalg::LQ_LQsolve	(	matrix &	Q,
		matrix &	L,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_LQ_LQsolve().

Parameters

Q	A matrix
L	A matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 751 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ LQ_Lsolve_T()

int gsl::linalg::LQ_Lsolve_T	(	matrix const &	LQ,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_LQ_Lsolve_T().

Parameters

LQ	A matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 686 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ LQ_lssolve()

int gsl::linalg::LQ_lssolve	(	matrix const &	LQ,
		vector const &	tau,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_LQ_lssolve().

Parameters

LQ	The LQ decomposition of a matrix A: LQ
tau	The LQ decomposition of a matrix A: tau
b	The vector
x	The solution vector [return]
residual	The residual vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1362 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ LQ_lssolve_T()

int gsl::linalg::LQ_lssolve_T	(	matrix const &	LQ,
		vector const &	tau,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_LQ_lssolve_T().

Parameters

LQ	A matrix
tau	A vector
b	A vector
x	A vector
residual	A residual vector

Returns: Error code on failure

Definition at line 676 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ LQ_Lsvx_T()

int gsl::linalg::LQ_Lsvx_T	(	matrix const &	LQ,
		vector &	x
	)

inline

C++ version of gsl_linalg_LQ_Lsvx_T().

Parameters

LQ	A matrix
x	A vector

Returns: Error code on failure

Definition at line 694 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_QTvec()

int gsl::linalg::LQ_QTvec	(	matrix const &	LQ,
		vector const &	tau,
		vector &	v
	)

inline

C++ version of gsl_linalg_LQ_QTvec().

Parameters

LQ	The LQ decomposition of a matrix A: LQ
tau	The LQ decomposition of a matrix A: tau
v	The solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1372 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_solve_T()

int gsl::linalg::LQ_solve_T	(	matrix const &	LQ,
		vector const &	tau,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_LQ_solve_T().

Parameters

LQ	A matrix
tau	A vector
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 656 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ LQ_svx_T()

int gsl::linalg::LQ_svx_T	(	matrix const &	LQ,
		vector const &	tau,
		vector &	x
	)

inline

C++ version of gsl_linalg_LQ_svx_T().

Parameters

LQ	A matrix
tau	A vector
x	A vector

Returns: Error code on failure

Definition at line 665 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_unpack()

int gsl::linalg::LQ_unpack	(	matrix const &	LQ,
		vector const &	tau,
		matrix &	Q,
		matrix &	L
	)

inline

C++ version of gsl_linalg_LQ_unpack().

Parameters

LQ	A matrix
tau	A vector
Q	A matrix
L	A matrix

Returns: Error code on failure

Definition at line 731 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_update()

int gsl::linalg::LQ_update	(	matrix &	Q,
		matrix &	R,
		vector const &	v,
		vector &	w
	)

inline

C++ version of gsl_linalg_LQ_update().

Parameters

Q	A matrix
R	A matrix
v	A vector
w	A vector

Returns: Error code on failure

Definition at line 741 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_vecQ()

int gsl::linalg::LQ_vecQ	(	matrix const &	LQ,
		vector const &	tau,
		vector &	v
	)

inline

C++ version of gsl_linalg_LQ_vecQ().

Parameters

LQ	A matrix
tau	A vector
v	A vector

Returns: Error code on failure

Definition at line 712 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LQ_vecQT()

int gsl::linalg::LQ_vecQT	(	matrix const &	LQ,
		vector const &	tau,
		vector &	v
	)

inline

C++ version of gsl_linalg_LQ_vecQT().

Parameters

LQ	A matrix
tau	A vector
v	A vector

Returns: Error code on failure

Definition at line 721 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ LU_band_decomp()

int gsl::linalg::LU_band_decomp	(	size_t const	M,
		size_t const	lb,
		size_t const	ub,
		matrix &	AB,
		vector_uint &	piv
	)

inline

C++ version of gsl_linalg_LU_band_decomp().

Parameters

M	Original number of rows of AB
lb	lower bandwidth
ub	upper bandwidth
AB	Banded matrix [LU factors in packed format on output]
piv	pivot indices [return]

Returns: Error code on failure

Definition at line 1857 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector_uint::get().

◆ LU_band_solve()

int gsl::linalg::LU_band_solve	(	size_t const	lb,
		size_t const	ub,
		matrix const &	LUB,
		vector_uint const &	piv,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_LU_band_solve().

Parameters

lb	lower bandwidth
ub	upper bandwidth
LUB	LU factorisation
piv	pivot indices
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1870 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::vector::get(), and gsl::vector_uint::get().

◆ LU_band_svx()

int gsl::linalg::LU_band_svx	(	size_t const	lb,
		size_t const	ub,
		matrix const &	LUB,
		vector_uint const &	piv,
		vector &	x
	)

inline

C++ version of gsl_linalg_LU_band_svx().

Parameters

lb	lower bandwidth
ub	upper bandwidth
LUB	LU factorisation
piv	pivot indices
x	A vector

Returns: Error code on failure

Definition at line 1883 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::vector_uint::get().

◆ LU_band_unpack()

int gsl::linalg::LU_band_unpack	(	size_t const	M,
		size_t const	lb,
		size_t const	ub,
		matrix const &	LUB,
		vector_uint const &	piv,
		matrix &	L,
		matrix &	U
	)

inline

C++ version of gsl_linalg_LU_band_unpack().

Parameters

M	Original number of rows of AB
lb	lower bandwidth
ub	upper bandwidth
LUB	LU factorisation
piv	pivot indices
L	Matrix L [return]
U	Matrix U [return]

Returns: Error code on failure

Definition at line 1897 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector_uint::get().

◆ LU_decomp()

int gsl::linalg::LU_decomp	(	matrix &	A,
		permutation &	p,
		int &	signum
	)

inline

C++ version of gsl_linalg_LU_decomp().

Parameters

A	A matrix
p	A permutation
signum	The sign of the permutation

Returns: Error code on failure

Definition at line 243 of file linalg.hpp.

References gsl::matrix::get(), and gsl::permutation::get().

◆ LU_det()

double gsl::linalg::LU_det	(	matrix &	LU,
		int	signum
	)

inline

C++ version of gsl_linalg_LU_det().

Parameters

LU	An LU decomposition matrix
signum	The sign of the permutation

Returns: The determinant of the matrix with LU decomposition LU

Definition at line 292 of file linalg.hpp.

References gsl::matrix::get().

◆ LU_invert()

int gsl::linalg::LU_invert	(	matrix const &	LU,
		permutation const &	p,
		matrix &	inverse
	)

inline

C++ version of gsl_linalg_LU_invert().

Parameters

LU	An LU decomposition matrix
p	A permutation
inverse	The inverse matrix

Returns: Error code on failure

Definition at line 284 of file linalg.hpp.

References gsl::complex::get(), gsl::matrix::get(), gsl::permutation::get(), and gsl::cpx::inverse().

◆ LU_invx()

int gsl::linalg::LU_invx	(	matrix &	LU,
		permutation const &	p
	)

inline

C++ version of gsl_linalg_LU_invx().

Parameters

LU	LU matrix; also return matrix
p	Permutation from LU decomposition

Returns: GSL_SUCCESS or error code on failure

Definition at line 1164 of file linalg.hpp.

References gsl::matrix::get(), and gsl::permutation::get().

◆ LU_lndet()

double gsl::linalg::LU_lndet ( matrix & LU )

inline

C++ version of gsl_linalg_LU_lndet().

Parameters

LU	An LU decomposition matrix

Returns: The logarithm of the absolute value of the determinant of the matrix with LU decomposition LU

Definition at line 299 of file linalg.hpp.

References gsl::matrix::get().

◆ LU_refine()

int gsl::linalg::LU_refine	(	matrix const &	A,
		matrix const &	LU,
		permutation const &	p,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_LU_refine().

Parameters

A	A matrix
LU	An LU decomposition matrix
p	A permutation
b	A vector
x	A vector
residual	A residual vector

Returns: Error code on failure

Definition at line 274 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ LU_sgndet()

int gsl::linalg::LU_sgndet	(	matrix &	lu,
		int	signum
	)

inline

C++ version of gsl_linalg_LU_sgndet().

Parameters

lu	An LU decomposition marix
signum	The sign of the permutation

Returns: The sign of the determinant of the matrix with LU decomposition LU

Definition at line 306 of file linalg.hpp.

References gsl::matrix::get().

◆ LU_solve()

int gsl::linalg::LU_solve	(	matrix const &	LU,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_LU_solve().

Parameters

LU	An LU decomposition matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 253 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ LU_svx()

int gsl::linalg::LU_svx	(	matrix const &	LU,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_LU_svx().

Parameters

LU	An LU decomposition matrix
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 262 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ mcholesky_decomp()

int gsl::linalg::mcholesky_decomp	(	matrix &	A,
		permutation &	p,
		vector &	E
	)

inline

C++ version of gsl_linalg_mcholesky_decomp().

Parameters

A	Matrix and on output modified Cholesky decomposition
p	permutation
E	Diagonal perturbation matrix

Returns: GSL_SUCCESS or error code on failure

Definition at line 1537 of file linalg.hpp.

References gsl::math::E, gsl::matrix::get(), and gsl::permutation::get().

◆ mcholesky_invert()

int gsl::linalg::mcholesky_invert	(	matrix const &	LDLT,
		permutation const &	p,
		matrix &	Ainv
	)

inline

C++ version of gsl_linalg_mcholesky_invert().

Parameters

LDLT	Modified Cholesky decomposition
p	permutation
Ainv	A inverse [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1577 of file linalg.hpp.

References gsl::matrix::get(), and gsl::permutation::get().

◆ mcholesky_rcond()

int gsl::linalg::mcholesky_rcond	(	matrix const &	LDLT,
		permutation const &	p,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_mcholesky_rcond().

Parameters

LDLT	Modified Cholesky decomposition
p	permutation
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1567 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ mcholesky_solve()

int gsl::linalg::mcholesky_solve	(	matrix const &	LDLT,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_mcholesky_solve().

Parameters

LDLT	Modified Cholesky decomposition
p	Permutation
b	Vector
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1547 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ mcholesky_svx()

int gsl::linalg::mcholesky_svx	(	matrix const &	LDLT,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_mcholesky_svx().

Parameters

LDLT	Modified Cholesky decomposition
p	Permutation
x	Solution vector and input vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1557 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ pcholesky_decomp()

int gsl::linalg::pcholesky_decomp	(	matrix &	A,
		permutation &	p
	)

inline

C++ version of gsl_linalg_pcholesky_decomp().

Parameters

A	Matrix for Cholesky decomposition: Cholesky decompostion on output [return]
p	Permutation

Returns: GSL_SUCCESS or error code on failure

Definition at line 1456 of file linalg.hpp.

References gsl::matrix::get(), and gsl::permutation::get().

◆ pcholesky_decomp2()

int gsl::linalg::pcholesky_decomp2	(	matrix &	A,
		permutation &	p,
		vector &	S
	)

inline

C++ version of gsl_linalg_pcholesky_decomp2().

Parameters

A	Matrix for pivoted Cholesky decomposition
p	permutation
S	Diagonal scaling factor

Returns: GSL_SUCCESS or error code on failure

Definition at line 1485 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ pcholesky_invert()

int gsl::linalg::pcholesky_invert	(	matrix const &	LDLT,
		permutation const &	p,
		matrix &	Ainv
	)

inline

C++ version of gsl_linalg_pcholesky_invert().

Parameters

LDLT	Cholesky decomposition
p	permutation
Ainv	A inverse [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1517 of file linalg.hpp.

References gsl::matrix::get(), and gsl::permutation::get().

◆ pcholesky_rcond()

int gsl::linalg::pcholesky_rcond	(	matrix const &	LDLT,
		permutation const &	p,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_pcholesky_rcond().

Parameters

LDLT	Cholesky decomposition
p	permutation
rcond	Reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1527 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ pcholesky_solve()

int gsl::linalg::pcholesky_solve	(	matrix const &	LDLT,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_pcholesky_solve().

Parameters

LDLT	Cholesky decomposition
p	Permutation
b	Vector
x	solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1466 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ pcholesky_solve2()

int gsl::linalg::pcholesky_solve2	(	matrix const &	LDLT,
		permutation const &	p,
		vector const &	S,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_pcholesky_solve2().

Parameters

LDLT	Cholesky decomposition
p	permutation
S	Diagonal scaling factor
b	Vector
x	Solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1496 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ pcholesky_svx()

int gsl::linalg::pcholesky_svx	(	matrix const &	LDLT,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_pcholesky_svx().

Parameters

LDLT	Cholesky decomposition
p	Permutation
x	solution vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1476 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ pcholesky_svx2()

int gsl::linalg::pcholesky_svx2	(	matrix const &	LDLT,
		permutation const &	p,
		vector const &	S,
		vector &	x
	)

inline

C++ version of gsl_linalg_pcholesky_svx2().

Parameters

LDLT	Cholesky decomposition
p	permutation
S	Diagonal scaling factor
x	Solution vector and input [return and input]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1507 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_decomp()

int gsl::linalg::PTLQ_decomp	(	matrix &	A,
		vector &	tau,
		permutation &	p,
		int &	signum,
		vector &	norm
	)

inline

C++ version of gsl_linalg_PTLQ_decomp().

Parameters

A	A matrix
tau	A vector
p	A permutation
signum	The sign of the permutation
norm	A norm vector

Returns: Error code on failure

Definition at line 775 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_decomp2() [1/2]

int gsl::linalg::PTLQ_decomp2	(	matrix const &	A,
		matrix &	q,
		matrix &	r,
		vector &	tau,
		permutation &	p,
		int &	signum,
		vector &	norm
	)

inline

C++ version of gsl_linalg_PTLQ_decomp2().

Parameters

A	A matrix
q	A matrix
r	A matrix
tau	A vector
p	A permutation
signum	The sign of the permutation
norm	A vector used as workspace

Returns: Error code on failure

Definition at line 802 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_decomp2() [2/2]

int gsl::linalg::PTLQ_decomp2	(	matrix const &	A,
		matrix &	q,
		matrix &	r,
		vector &	tau,
		permutation &	p,
		int *	signum,
		vector &	norm
	)

inline

C++ version of gsl_linalg_PTLQ_decomp2().

Parameters

A	A matrix
q	A matrix
r	A matrix
tau	A vector
p	A permutation
signum	The sign of the permutation
norm	A vector used as workspace

Returns: Error code on failure

Definition at line 788 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_LQsolve_T()

int gsl::linalg::PTLQ_LQsolve_T	(	matrix const &	Q,
		matrix const &	L,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_PTLQ_LQsolve_T().

Parameters

Q	A matrix
L	A matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 836 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_Lsolve_T()

int gsl::linalg::PTLQ_Lsolve_T	(	matrix const &	LQ,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_PTLQ_Lsolve_T().

Parameters

LQ	A matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 847 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_Lsvx_T()

int gsl::linalg::PTLQ_Lsvx_T	(	matrix const &	LQ,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_PTLQ_Lsvx_T().

Parameters

LQ	A matrix
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 856 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_solve_T()

int gsl::linalg::PTLQ_solve_T	(	matrix const &	QR,
		vector const &	tau,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_PTLQ_solve_T().

Parameters

QR	A QR decomposition matrix
tau	A vector
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 814 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_svx_T()

int gsl::linalg::PTLQ_svx_T	(	matrix const &	LQ,
		vector const &	tau,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_PTLQ_svx_T().

Parameters

LQ	A matrix
tau	A vector
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 825 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ PTLQ_update()

int gsl::linalg::PTLQ_update	(	matrix &	Q,
		matrix &	L,
		permutation const &	p,
		vector const &	v,
		vector &	w
	)

inline

C++ version of gsl_linalg_PTLQ_update().

Parameters

Q	A matrix
L	A matrix
p	A permutation
v	A vector
w	A vector

Returns: Error code on failure

Definition at line 867 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QL_decomp()

int gsl::linalg::QL_decomp	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_QL_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 2144 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QL_unpack()

int gsl::linalg::QL_unpack	(	matrix const &	QL,
		vector const &	tau,
		matrix &	Q,
		matrix &	L
	)

inline

C++ version of gsl_linalg_QL_unpack().

Parameters

QL	A matrix
tau	A vector
Q	A matrix [return]
L	A matrix [return]

Returns: Error code on failure

Definition at line 2154 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_band_decomp_L2()

int gsl::linalg::QR_band_decomp_L2	(	size_t const	M,
		size_t const	p,
		size_t const	q,
		matrix &	AB,
		vector &	tau
	)

inline

C++ version of gsl_linalg_QR_band_decomp_L2().

Parameters

M	Original number of rows of AB
p	UNDOCUMENTED
q	UNDOCUMENTED
AB	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 2047 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_band_unpack_L2()

int gsl::linalg::QR_band_unpack_L2	(	size_t const	p,
		size_t const	q,
		matrix const &	QRB,
		vector const &	tau,
		matrix &	Q,
		matrix &	R
	)

inline

C++ version of gsl_linalg_QR_band_unpack_L2().

Parameters

p	UNDOCUMENTED
q	UNDOCUMENTED
QRB	UNDOCUMENTED
tau	A vector
Q	A matrix [return]
R	A matrix [return]

Returns: Error code on failure

Definition at line 2060 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_decomp()

int gsl::linalg::QR_decomp	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_QR_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 400 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_decomp_old()

int gsl::linalg::QR_decomp_old	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_QR_decomp_old().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 1907 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_lssolve()

int gsl::linalg::QR_lssolve	(	matrix const &	QR,
		vector const &	tau,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_QR_lssolve().

Parameters

QR	A QR decomposition
tau	A vector
b	A vector
x	A vector
residual	A residual vector

Returns: Error code on failure

Definition at line 429 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ QR_matQ()

int gsl::linalg::QR_matQ	(	matrix const &	QR,
		vector const &	tau,
		matrix &	A
	)

inline

C++ version of gsl_linalg_QR_matQ().

Parameters

QR	Matrix: part of encoding of transpose of Q
tau	Matrix: part of encoding of transpose of Q
A	Matrix to be premultiplied by transpose of Q; also stores result

Returns: GSL_SUCCESS or error code on failure

Definition at line 1191 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_QRsolve()

int gsl::linalg::QR_QRsolve	(	matrix &	Q,
		matrix &	R,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QR_QRsolve().

Parameters

Q	A Matrix
R	A Matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 440 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_QTmat()

int gsl::linalg::QR_QTmat	(	matrix const &	QR,
		vector const &	tau,
		matrix &	A
	)

inline

C++ version of gsl_linalg_QR_QTmat().

Parameters

QR	A QR decomposition matrix
tau	A vector
A	A matrix

Returns: Error code on failure

Definition at line 493 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_QTmat_r()

int gsl::linalg::QR_QTmat_r	(	matrix const &	QR,
		matrix const &	T,
		matrix &	B,
		matrix &	work
	)

inline

C++ version of gsl_linalg_QR_QTmat_r().

Parameters

QR	Matrix: part of encoding of transpose of Q
T	Matrix: part of encoding of transpose of Q
B	Matrix to be premultiplied by transpose of Q; also stores result
work	Workspace

Returns: GSL_SUCCESS or error code on failure

Definition at line 1182 of file linalg.hpp.

References gsl::matrix::get().

◆ QR_QTvec()

int gsl::linalg::QR_QTvec	(	matrix const &	QR,
		vector const &	tau,
		vector &	v
	)

inline

C++ version of gsl_linalg_QR_QTvec().

Parameters

QR	A QR decomposition matrix
tau	A vector
v	A vector

Returns: Error code on failure

Definition at line 475 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_Qvec()

int gsl::linalg::QR_Qvec	(	matrix const &	QR,
		vector const &	tau,
		vector &	v
	)

inline

C++ version of gsl_linalg_QR_Qvec().

Parameters

QR	A QR decomposition matrix
tau	A vector
v	A vector

Returns: Error code on failure

Definition at line 484 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_rcond()

int gsl::linalg::QR_rcond	(	matrix const &	QR,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_QR_rcond().

Parameters

QR	QR matrix
rcond	Condition number in R [return]
work	Workspace of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1210 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ QR_Rsolve()

int gsl::linalg::QR_Rsolve	(	matrix const &	QR,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QR_Rsolve().

Parameters

QR	A QR decomposition matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 449 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_Rsvx()

int gsl::linalg::QR_Rsvx	(	matrix const &	QR,
		vector &	x
	)

inline

C++ version of gsl_linalg_QR_Rsvx().

Parameters

QR	A QR decomposition matrix
x	A vector

Returns: Error code on failure

Definition at line 457 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_solve()

int gsl::linalg::QR_solve	(	matrix const &	QR,
		vector const &	tau,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QR_solve().

Parameters

QR
tau	A vector
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 409 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_svx()

int gsl::linalg::QR_svx	(	matrix const &	QR,
		vector const &	tau,
		vector &	x
	)

inline

C++ version of gsl_linalg_QR_svx().

Parameters

QR	A QR decomposition
tau	A vector
x	A vector

Returns: Error code on failure

Definition at line 418 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_UD_decomp()

int gsl::linalg::QR_UD_decomp	(	matrix &	U,
		vector const &	D,
		matrix &	Y,
		matrix &	T
	)

inline

C++ version of gsl_linalg_QR_UD_decomp().

Parameters

U	Upper triangular matrix
D	Diagonal
Y	Matrix [return]
T	Matrix [return]

Returns: Error code on failure

Definition at line 2071 of file linalg.hpp.

References gsl::sf::ellint::D(), and gsl::matrix::get().

◆ QR_UD_lssolve()

int gsl::linalg::QR_UD_lssolve	(	matrix const &	R,
		matrix const &	Y,
		matrix const &	T,
		vector const &	b,
		vector &	x,
		vector &	work
	)

inline

C++ version of gsl_linalg_QR_UD_lssolve().

Parameters

R	A matrix
Y	A matrix
T	A matrix
b	A vector
x	A vector
work	A workspace vector

Returns: Error code on failure

Definition at line 2083 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_unpack()

int gsl::linalg::QR_unpack	(	matrix const &	QR,
		vector const &	tau,
		matrix &	Q,
		matrix &	R
	)

inline

C++ version of gsl_linalg_QR_unpack().

Parameters

QR	A QR decomposition matrix
tau	A vector
Q	A matrix
R	A matrix

Returns: Error code on failure

Definition at line 503 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_unpack_r()

int gsl::linalg::QR_unpack_r	(	matrix const &	QR,
		matrix const &	T,
		matrix &	Q,
		matrix &	R
	)

inline

C++ version of gsl_linalg_QR_unpack_r().

Parameters

QR	A QR decomposition matrix
T	A matrix
Q	A matrix
R	A matrix

Returns: GSL_SUCCESS or error code on failure

Definition at line 1201 of file linalg.hpp.

References gsl::matrix::get().

◆ QR_update()

int gsl::linalg::QR_update	(	matrix &	Q,
		matrix &	R,
		vector &	w,
		vector const &	v
	)

inline

C++ version of gsl_linalg_QR_update().

Parameters

Q	A matrix
R	A matrix
w	A vector
v	A vector

Returns: Error code on failure

Definition at line 466 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ QR_UR_decomp()

int gsl::linalg::QR_UR_decomp	(	matrix &	S,
		matrix &	A,
		matrix &	T
	)

inline

C++ version of gsl_linalg_QR_UR_decomp().

Parameters

S	A matrix
A	A matrix
T	A matrix

Returns: Error code on failure

Definition at line 2094 of file linalg.hpp.

References gsl::matrix::get().

◆ QR_UU_decomp()

int gsl::linalg::QR_UU_decomp	(	matrix &	U,
		matrix &	S,
		matrix &	T
	)

inline

C++ version of gsl_linalg_QR_UU_decomp().

Parameters

U	A matrix
S	A matrix
T	A matrix

Returns: Error code on failure

Definition at line 2103 of file linalg.hpp.

References gsl::matrix::get().

◆ QR_UU_lssolve()

int gsl::linalg::QR_UU_lssolve	(	matrix const &	R,
		matrix const &	Y,
		matrix const &	T,
		vector const &	b,
		vector &	x,
		vector &	work
	)

inline

C++ version of gsl_linalg_QR_UU_lssolve().

Parameters

R	A matrix
Y	A matrix
T	A matrix
b	A vector
x	A vector
work	A workspace vector

Returns: Error code on failure

Definition at line 2115 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_UU_QTvec()

int gsl::linalg::QR_UU_QTvec	(	matrix const &	Y,
		matrix const &	T,
		vector &	b,
		vector &	work
	)

inline

C++ version of gsl_linalg_QR_UU_QTvec().

Parameters

Y	A matrix
T	A matrix
b	A vector
work	A workspace vector

Returns: Error code on failure

Definition at line 2127 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ QR_UZ_decomp()

int gsl::linalg::QR_UZ_decomp	(	matrix &	S,
		matrix &	A,
		matrix &	T
	)

inline

C++ version of gsl_linalg_QR_UZ_decomp().

Parameters

S	A matrix
A	A matrix
T	A matrix

Returns: Error code on failure

Definition at line 2136 of file linalg.hpp.

References gsl::matrix::get().

◆ QRPT_decomp()

int gsl::linalg::QRPT_decomp	(	matrix &	A,
		vector &	tau,
		permutation &	p,
		int &	signum,
		vector &	norm
	)

inline

C++ version of gsl_linalg_QRPT_decomp().

Parameters

A	A matrix
tau	A vector
p	A permutation
signum	The sign of the permutation
norm	A vector used for column pivoting

Returns: Error code on failure

Definition at line 544 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_decomp2()

int gsl::linalg::QRPT_decomp2	(	matrix const &	A,
		matrix &	q,
		matrix &	r,
		vector &	tau,
		permutation &	p,
		int &	signum,
		vector &	norm
	)

inline

C++ version of gsl_linalg_QRPT_decomp2().

Parameters

A	A matrix
q	A matrix
r	A matrix
tau	A vector
p	A permutation
signum	The sign of the permutation
norm	A vector used for column pivoting

Returns: Error code on failure

Definition at line 573 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_lssolve()

int gsl::linalg::QRPT_lssolve	(	matrix const &	QR,
		vector const &	tau,
		permutation const &	p,
		vector const &	b,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_QRPT_lssolve().

Parameters

QR	Matrix: part of encoding of transpose of Q
tau	Matrix: part of encoding of transpose of Q
p	A permutation
b	A vector
x	Solution vector [return]
residual	Residual vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1222 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ QRPT_lssolve2()

int gsl::linalg::QRPT_lssolve2	(	matrix const &	QR,
		vector const &	tau,
		permutation const &	p,
		vector const &	b,
		size_t const	rank,
		vector &	x,
		vector &	residual
	)

inline

C++ version of gsl_linalg_QRPT_lssolve2().

Parameters

QR	Matrix: part of encoding of transpose of Q
tau	Matrix: part of encoding of transpose of Q
p	A permutation
b	A vector
rank	The rank of the matrix whose QR decompostion is given
x	Solution vector [return]
residual	Residual vector [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1237 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), gsl::vector::get(), and gsl::multifit::nlinear::residual().

◆ QRPT_QRsolve()

int gsl::linalg::QRPT_QRsolve	(	matrix const &	Q,
		matrix const &	R,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QRPT_QRsolve().

Parameters

Q	A matrix
R	A matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 607 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_rank()

size_t gsl::linalg::QRPT_rank	(	matrix const &	QR,
		double const	tol
	)

inline

C++ version of gsl_linalg_QRPT_rank().

Parameters

QR	QR matrix
tol	A tolerance

Returns: A rank estimate

Definition at line 1247 of file linalg.hpp.

References gsl::matrix::get().

◆ QRPT_rcond()

int gsl::linalg::QRPT_rcond	(	matrix const &	QR,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_QRPT_rcond().

Parameters

QR	QR matrix
rcond	Estimate of reciprocal condition number [return]
work	A workspace of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1256 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ QRPT_Rsolve()

int gsl::linalg::QRPT_Rsolve	(	matrix const &	QR,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QRPT_Rsolve().

Parameters

QR	A QR decomposition matrix
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 618 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_Rsvx()

int gsl::linalg::QRPT_Rsvx	(	matrix const &	QR,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_QRPT_Rsvx().

Parameters

QR	A QR decomposition matrix
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 627 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_solve()

int gsl::linalg::QRPT_solve	(	matrix const &	QR,
		vector const &	tau,
		permutation const &	p,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_QRPT_solve().

Parameters

QR	A QR decomposition matrix
tau	A vector
p	A permutation
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 585 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_svx()

int gsl::linalg::QRPT_svx	(	matrix const &	QR,
		vector const &	tau,
		permutation const &	p,
		vector &	x
	)

inline

C++ version of gsl_linalg_QRPT_svx().

Parameters

QR	A QR decomposition matrix
tau	A vector
p	A permutation
x	A vector

Returns: Error code on failure

Definition at line 596 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ QRPT_update()

int gsl::linalg::QRPT_update	(	matrix &	Q,
		matrix &	R,
		permutation const &	p,
		vector &	u,
		vector const &	v
	)

inline

C++ version of gsl_linalg_QRPT_update().

Parameters

Q	A matrix
R	A matrix
p	A permutation
u	A vector
v	A vector

Returns: Error code on failure

Definition at line 638 of file linalg.hpp.

References gsl::matrix::get(), gsl::permutation::get(), and gsl::vector::get().

◆ R_solve()

int gsl::linalg::R_solve	(	matrix const &	R,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_R_solve().

Parameters

R	A matrix
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 512 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ R_svx()

int gsl::linalg::R_svx	(	matrix const &	R,
		vector &	x
	)

inline

C++ version of gsl_linalg_R_svx().

Parameters

R	A matrix
x	A vector

Returns: Error code on failure

Definition at line 520 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ solve_cyc_tridiag()

int gsl::linalg::solve_cyc_tridiag	(	vector const &	diag,
		vector const &	abovediag,
		vector const &	belowdiag,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_solve_cyc_tridiag().

Parameters

diag	A vector of diagonal elements
abovediag	Off-diagonal vector (one element shorte than `diag`)
belowdiag	Off-diagonal vector (one element shorte than `diag`)
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1048 of file linalg.hpp.

References gsl::sf::mathieu::b(), and gsl::vector::get().

◆ solve_symm_cyc_tridiag()

int gsl::linalg::solve_symm_cyc_tridiag	(	vector const &	diag,
		vector const &	offdiag,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_solve_symm_cyc_tridiag().

Parameters

diag	A vector of diagonal elements
offdiag	Off-diagonal vector (one element shorte than `diag`)
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1036 of file linalg.hpp.

References gsl::sf::mathieu::b(), and gsl::vector::get().

◆ solve_symm_tridiag()

int gsl::linalg::solve_symm_tridiag	(	vector const &	diag,
		vector const &	offdiag,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_solve_symm_tridiag().

Parameters

diag	A vector of diagonal elements
offdiag	Off-diagonal vector (one element shorte than `diag`)
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1013 of file linalg.hpp.

References gsl::sf::mathieu::b(), and gsl::vector::get().

◆ solve_tridiag()

int gsl::linalg::solve_tridiag	(	vector const &	diag,
		vector const &	abovediag,
		vector const &	belowdiag,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_solve_tridiag().

Parameters

diag	A vector of diagonal elements
abovediag	Off-diagonal vector (one element shorte than `diag`)
belowdiag	Off-diagonal vector (one element shorte than `diag`)
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 1025 of file linalg.hpp.

References gsl::sf::mathieu::b(), and gsl::vector::get().

◆ SV_decomp()

int gsl::linalg::SV_decomp	(	matrix &	A,
		matrix &	V,
		vector &	S,
		vector &	work
	)

inline

C++ version of gsl_linalg_SV_decomp().

Parameters

A	A matrix
V	A matrix (part of SVD)
S	A vector
work	A vector

Returns: Error code on failure

Definition at line 192 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ SV_decomp_jacobi()

int gsl::linalg::SV_decomp_jacobi	(	matrix &	A,
		matrix &	Q,
		vector &	S
	)

inline

C++ version of gsl_linalg_SV_decomp_jacobi().

Parameters

A	A matrix
Q	A matrix
S	A vector

Returns: Error code on failure

Definition at line 212 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ SV_decomp_mod()

int gsl::linalg::SV_decomp_mod	(	matrix &	A,
		matrix &	X,
		matrix &	V,
		vector &	S,
		vector &	work
	)

inline

C++ version of gsl_linalg_SV_decomp_mod().

Parameters

A	A matrix
X	A matrix
V	A matrix (part of SVD)
S	A vector
work	A vector

Returns: Error code on failure

Definition at line 203 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ SV_leverage()

int gsl::linalg::SV_leverage	(	matrix const &	U,
		vector &	h
	)

inline

C++ version of gsl_linalg_SV_leverage().

Parameters

U	A matrix from singular value decomposition
h	The vector of statistical leverage values

Returns: Error code on failure

Definition at line 1124 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ SV_solve()

int gsl::linalg::SV_solve	(	matrix const &	U,
		matrix const &	Q,
		vector const &	S,
		vector const &	b,
		vector &	x
	)

inline

C++ version of gsl_linalg_SV_solve().

Parameters

U	An orthogonal matrix
Q	A matrix
S	A vector
b	A vector
x	A vector

Returns: Error code on failure

Definition at line 223 of file linalg.hpp.

References gsl::sf::mathieu::b(), gsl::matrix::get(), and gsl::vector::get().

◆ symmtd_decomp()

int gsl::linalg::symmtd_decomp	(	matrix &	A,
		vector &	tau
	)

inline

C++ version of gsl_linalg_symmtd_decomp().

Parameters

A	A matrix
tau	A vector

Returns: Error code on failure

Definition at line 937 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ symmtd_unpack()

int gsl::linalg::symmtd_unpack	(	matrix const &	A,
		vector const &	tau,
		matrix &	Q,
		vector &	diag,
		vector &	subdiag
	)

inline

C++ version of gsl_linalg_symmtd_unpack().

Parameters

A	A matrix
tau	A vector
Q	A matrix
diag	A vector of diagonal elements
subdiag	The vector of subdiagonal elements

Returns: Error code on failure

Definition at line 948 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ symmtd_unpack_T()

int gsl::linalg::symmtd_unpack_T	(	matrix const &	A,
		vector &	diag,
		vector &	subdiag
	)

inline

C++ version of gsl_linalg_symmtd_unpack_T().

Parameters

A	A matrix
diag	A vector of diagonal elements
subdiag	The vector of subdiagonal elements

Returns: Error code on failure

Definition at line 958 of file linalg.hpp.

References gsl::matrix::get(), and gsl::vector::get().

◆ tri_invert()

int gsl::linalg::tri_invert	(	CBLAS_UPLO_t	Uplo,
		CBLAS_DIAG_t	Diag,
		matrix &	T
	)

inline

C++ version of gsl_linalg_tri_invert().

Parameters

Uplo	Upper or lower triangle
Diag	Specify whether the matrix is unit triangular
T	The matrix [input and return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1791 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_lower_invert()

int gsl::linalg::tri_lower_invert ( matrix & T )

inline

C++ version of gsl_linalg_tri_lower_invert().

Parameters

T	Lower triangular matrix; inverse on return [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1769 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_lower_rcond()

int gsl::linalg::tri_lower_rcond	(	matrix const &	A,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_tri_lower_rcond().

Parameters

A	A triangular matrix
rcond	reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1740 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ tri_lower_unit_invert()

int gsl::linalg::tri_lower_unit_invert ( matrix & T )

inline

C++ version of gsl_linalg_tri_lower_unit_invert().

Parameters

T	The matrix [input and return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1782 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_LTL()

int gsl::linalg::tri_LTL ( matrix & L )

inline

C++ version of gsl_linalg_tri_LTL().

Parameters

L	Matrix [input and output]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1807 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_rcond()

int gsl::linalg::tri_rcond	(	CBLAS_UPLO_t	Uplo,
		matrix const &	A,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_tri_rcond().

Parameters

Uplo	Upper or lower triangle
A	A triangular matrix
rcond	reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1722 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ tri_UL()

int gsl::linalg::tri_UL ( matrix & LU )

inline

C++ version of gsl_linalg_tri_UL().

Parameters

LU	Matrix [input and output]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1813 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_upper_invert()

int gsl::linalg::tri_upper_invert ( matrix & T )

inline

C++ version of gsl_linalg_tri_upper_invert().

Parameters

T	Upper triangular matrix; inverse on return [return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1762 of file linalg.hpp.

References gsl::matrix::get().

◆ tri_upper_rcond()

int gsl::linalg::tri_upper_rcond	(	matrix const &	A,
		double &	rcond,
		vector &	work
	)

inline

C++ version of gsl_linalg_tri_upper_rcond().

Parameters

A	A triangular matrix
rcond	reciprocal condition number [return]
work	Workspace vector of size 3N

Returns: GSL_SUCCESS or error code on failure

Definition at line 1731 of file linalg.hpp.

References gsl::matrix::get(), gsl::vector::get(), and gsl::multifit::nlinear::rcond().

◆ tri_upper_unit_invert()

int gsl::linalg::tri_upper_unit_invert ( matrix & T )

inline

C++ version of gsl_linalg_tri_upper_unit_invert().

Parameters

T	The matrix [input and return]

Returns: GSL_SUCCESS or error code on failure

Definition at line 1775 of file linalg.hpp.

References gsl::matrix::get().

Functions

Detailed Description

Function Documentation

◆ balance_accum()

◆ balance_columns()

◆ balance_matrix()

◆ bidiag_decomp()

◆ bidiag_unpack()

◆ bidiag_unpack2()

◆ bidiag_unpack_B()

◆ cholesky_band_decomp()

◆ cholesky_band_invert()

◆ cholesky_band_rcond()

◆ cholesky_band_solve()

◆ cholesky_band_svx()

◆ cholesky_band_unpack()

◆ cholesky_decomp()

◆ cholesky_decomp1()

◆ cholesky_decomp2()

◆ cholesky_decomp_unit()

◆ cholesky_invert()

◆ cholesky_rcond()

◆ cholesky_scale()

◆ cholesky_scale_apply()

◆ cholesky_solve()

◆ cholesky_solve2()

◆ cholesky_solve_mat()

◆ cholesky_svx()

◆ cholesky_svx2()

◆ cholesky_svx_mat()

◆ COD_decomp()

◆ COD_decomp_e()

◆ COD_lssolve()

◆ COD_lssolve2()

◆ COD_matZ()

◆ COD_unpack()

◆ complex_cholesky_decomp()

◆ complex_cholesky_solve()

◆ complex_cholesky_svx()

◆ complex_householder_hm()

◆ complex_householder_hv()

◆ complex_householder_left()

◆ complex_householder_mh()

◆ complex_householder_transform()

◆ complex_LU_decomp()

◆ complex_LU_det()

◆ complex_LU_invert()

◆ complex_LU_invx()

◆ complex_LU_lndet()

◆ complex_LU_refine()

◆ complex_LU_sgndet()

◆ complex_LU_solve()

◆ complex_LU_svx()

◆ complex_QR_decomp()

◆ complex_QR_decomp_r()

◆ complex_QR_lssolve()

◆ complex_QR_lssolve_r()

◆ complex_QR_QHvec()

◆ complex_QR_QHvec_r()

◆ complex_QR_Qvec()

◆ complex_QR_solve()

◆ complex_QR_solve_r()

◆ complex_QR_svx()

◆ complex_QR_unpack()

◆ complex_QR_unpack_r()

◆ complex_tri_invert()

◆ complex_tri_LHL()

◆ complex_tri_UL()

◆ givens()

◆ givens_gv()

◆ hermtd_decomp()

◆ hermtd_unpack()

◆ hermtd_unpack_T()

◆ hessenberg_decomp()

◆ hessenberg_set_zero()

◆ hessenberg_submatrix()

◆ hessenberg_unpack()

◆ hessenberg_unpack_accum()

◆ hesstri_decomp()

◆ HH_solve()