linalg.finc File Reference

This graph shows which files directly or indirectly include this file:

Functions/Subroutines
integer(fgsl_int) function	fgsl_linalg_lu_decomp (a, p, signum)
integer(fgsl_int) function	fgsl_linalg_complex_lu_decomp (a, p, signum)
integer(fgsl_int) function	fgsl_linalg_lu_solve (lu, p, b, x)
integer(fgsl_int) function	fgsl_linalg_complex_lu_solve (lu, p, b, x)
integer(fgsl_int) function	fgsl_linalg_lu_svx (lu, p, x)
integer(fgsl_int) function	fgsl_linalg_complex_lu_svx (lu, p, x)
integer(fgsl_int) function	fgsl_linalg_lu_refine (a, lu, p, b, x, residual)
integer(fgsl_int) function	fgsl_linalg_complex_lu_refine (a, lu, p, b, x, residual)
integer(fgsl_int) function	fgsl_linalg_lu_invert (lu, p, inverse)
integer(fgsl_int) function	fgsl_linalg_complex_lu_invert (lu, p, inverse)
real(fgsl_double) function	fgsl_linalg_lu_det (lu, signum)
complex(fgsl_double_complex) function	fgsl_linalg_complex_lu_det (lu, signum)
real(fgsl_double) function	fgsl_linalg_lu_lndet (lu)
real(fgsl_double) function	fgsl_linalg_complex_lu_lndet (lu)
integer(fgsl_int) function	fgsl_linalg_lu_sgndet (lu, signum)
complex(fgsl_double_complex) function	fgsl_linalg_complex_lu_sgndet (lu, signum)
integer(fgsl_int) function	fgsl_linalg_qr_decomp (a, tau)
integer(fgsl_int) function	fgsl_linalg_qr_solve (qr, tau, b, x)
integer(fgsl_int) function	fgsl_linalg_qr_svx (qr, tau, x)
integer(fgsl_int) function	fgsl_linalg_qr_lssolve (qr, tau, b, x, residual)
integer(fgsl_int) function	fgsl_linalg_qr_qtvec (qr, tau, v)
integer(fgsl_int) function	fgsl_linalg_qr_qvec (qr, tau, v)
integer(fgsl_int) function	fgsl_linalg_qr_qtmat (qr, tau, a)
integer(fgsl_int) function	fgsl_linalg_qr_rsolve (qr, b, x)
integer(fgsl_int) function	fgsl_linalg_qr_rsvx (qr, x)
integer(fgsl_int) function	fgsl_linalg_qr_unpack (qr, tau, q, r)
integer(fgsl_int) function	fgsl_linalg_qr_qrsolve (q, r, b, x)
integer(fgsl_int) function	fgsl_linalg_qr_update (q, r, w, v)
integer(fgsl_int) function	fgsl_linalg_r_solve (r, b, x)
integer(fgsl_int) function	fgsl_linalg_r_svx (r, x)
integer(fgsl_int) function	fgsl_linalg_qrpt_decomp (a, tau, p, signum, norm)
integer(fgsl_int) function	fgsl_linalg_qrpt_decomp2 (a, q, r, tau, p, signum, norm)
integer(fgsl_int) function	fgsl_linalg_qrpt_solve (qr, tau, p, b, x)
integer(fgsl_int) function	fgsl_linalg_qrpt_svx (qr, tau, p, x)
integer(fgsl_int) function	fgsl_linalg_qrpt_qrsolve (q, r, p, b, x)
integer(fgsl_int) function	fgsl_linalg_qrpt_update (q, r, p, w, v)
integer(fgsl_int) function	fgsl_linalg_qrpt_rsolve (qr, p, b, x)
integer(fgsl_int) function	fgsl_linalg_qrpt_rsvx (qr, p, x)
integer(fgsl_int) function	fgsl_linalg_sv_decomp (a, v, s, work)
integer(fgsl_int) function	fgsl_linalg_sv_decomp_mod (a, x, v, s, work)
integer(fgsl_int) function	fgsl_linalg_sv_decomp_jacobi (a, v, s)
integer(fgsl_int) function	fgsl_linalg_sv_solve (u, v, s, b, x)
integer(fgsl_int) function	fgsl_linalg_sv_leverage (u, h)
integer(fgsl_int) function	fgsl_linalg_cholesky_decomp (a)
integer(fgsl_int) function	fgsl_linalg_complex_cholesky_decomp (a)
integer(fgsl_int) function	fgsl_linalg_cholesky_solve (chol, b, x)
integer(fgsl_int) function	fgsl_linalg_complex_cholesky_solve (chol, b, x)
integer(fgsl_int) function	fgsl_linalg_cholesky_svx (chol, x)
integer(fgsl_int) function	fgsl_linalg_complex_cholesky_svx (chol, x)
integer(fgsl_int) function	fgsl_linalg_cholesky_invert (chol)
integer(fgsl_int) function	fgsl_linalg_complex_cholesky_invert (chol)
integer(fgsl_int) function	fgsl_linalg_symmtd_decomp (a, tau)
integer(fgsl_int) function	fgsl_linalg_symmtd_unpack (a, tau, q, diag, subdiag)
integer(fgsl_int) function	fgsl_linalg_symmtd_unpack_t (a, diag, subdiag)
integer(fgsl_int) function	fgsl_linalg_hermtd_decomp (a, tau)
integer(fgsl_int) function	fgsl_linalg_hermtd_unpack (a, tau, q, diag, subdiag)
integer(fgsl_int) function	fgsl_linalg_hermtd_unpack_t (a, diag, subdiag)
integer(fgsl_int) function	fgsl_linalg_hessenberg_decomp (a, tau)
integer(fgsl_int) function	fgsl_linalg_hessenberg_unpack (h, tau, u)
integer(fgsl_int) function	fgsl_linalg_hessenberg_unpack_accum (h, tau, v)
integer(fgsl_int) function	fgsl_linalg_hessenberg_set_zero (h)
integer(fgsl_int) function	fgsl_linalg_hesstri_decomp (a, b, u, v, work)
integer(fgsl_int) function	fgsl_linalg_bidiag_decomp (a, tau_u, tau_v)
integer(fgsl_int) function	fgsl_linalg_bidiag_unpack (a, tau_u, u, tau_v, v, diag, superdiag)
integer(fgsl_int) function	fgsl_linalg_bidiag_unpack2 (a, tau_u, tau_v, v)
integer(fgsl_int) function	fgsl_linalg_bidiag_unpack_b (a, diag, superdiag)
real(fgsl_double) function	fgsl_linalg_householder_transform (v)
complex(fgsl_double_complex) function	fgsl_linalg_complex_householder_transform (v)
integer(fgsl_int) function	fgsl_linalg_householder_hm (tau, v, a)
integer(fgsl_int) function	fgsl_linalg_complex_householder_hm (tau, v, a)
integer(fgsl_int) function	fgsl_linalg_householder_mh (tau, v, a)
integer(fgsl_int) function	fgsl_linalg_complex_householder_mh (tau, v, a)
integer(fgsl_int) function	fgsl_linalg_householder_hv (tau, v, w)
integer(fgsl_int) function	fgsl_linalg_complex_householder_hv (tau, v, w)
integer(fgsl_int) function	fgsl_linalg_hh_solve (a, b, x)
integer(fgsl_int) function	fgsl_linalg_hh_svx (a, x)
integer(c_int) function	fgsl_linalg_solve_tridiag (diag, e, f, b, x)
integer(c_int) function	fgsl_linalg_solve_symm_tridiag (diag, e, b, x)
integer(c_int) function	fgsl_linalg_solve_cyc_tridiag (diag, e, f, b, x)
integer(c_int) function	fgsl_linalg_solve_symm_cyc_tridiag (diag, e, b, x)
integer(fgsl_int) function	fgsl_linalg_balance_matrix (a, d)
integer(fgsl_int) function	fgsl_linalg_qr_matq (QR, tau, A)
subroutine	fgsl_linalg_givens (a, b, c, s)
subroutine	fgsl_linalg_givens_gv (v, i, j, c, s)

Function/Subroutine Documentation

integer(fgsl_int) function fgsl_linalg_balance_matrix	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	d
	)

integer(fgsl_int) function fgsl_linalg_bidiag_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	tau_u,
		type(fgsl_vector), intent(inout)	tau_v
	)

integer(fgsl_int) function fgsl_linalg_bidiag_unpack	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_vector), intent(in)	tau_u,
		type(fgsl_matrix), intent(inout)	u,
		type(fgsl_vector), intent(in)	tau_v,
		type(fgsl_matrix), intent(inout)	v,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	superdiag
	)

integer(fgsl_int) function fgsl_linalg_bidiag_unpack2	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(in)	tau_u,
		type(fgsl_vector), intent(in)	tau_v,
		type(fgsl_matrix), intent(inout)	v
	)

integer(fgsl_int) function fgsl_linalg_bidiag_unpack_b	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	superdiag
	)

integer(fgsl_int) function fgsl_linalg_cholesky_decomp

(

type(fgsl_matrix), intent(inout)

a

)

integer(fgsl_int) function fgsl_linalg_cholesky_invert

(

type(fgsl_matrix), intent(inout)

chol

)

integer(fgsl_int) function fgsl_linalg_cholesky_solve	(	type(fgsl_matrix), intent(in)	chol,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_cholesky_svx	(	type(fgsl_matrix), intent(in)	chol,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_complex_cholesky_decomp

(

type(fgsl_matrix_complex), intent(inout)

a

)

integer(fgsl_int) function fgsl_linalg_complex_cholesky_invert

(

type(fgsl_matrix_complex), intent(inout)

chol

)

integer(fgsl_int) function fgsl_linalg_complex_cholesky_solve	(	type(fgsl_matrix_complex), intent(in)	chol,
		type(fgsl_vector_complex), intent(in)	b,
		type(fgsl_vector_complex), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_complex_cholesky_svx	(	type(fgsl_matrix_complex), intent(in)	chol,
		type(fgsl_vector_complex), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_complex_householder_hm	(	complex(fgsl_double_complex), intent(in)	tau,
		type(fgsl_vector_complex), intent(in)	v,
		type(fgsl_matrix_complex), intent(inout)	a
	)

integer(fgsl_int) function fgsl_linalg_complex_householder_hv	(	complex(fgsl_double_complex), intent(in)	tau,
		type(fgsl_vector_complex), intent(in)	v,
		type(fgsl_vector_complex), intent(inout)	w
	)

integer(fgsl_int) function fgsl_linalg_complex_householder_mh	(	complex(fgsl_double_complex), intent(in)	tau,
		type(fgsl_vector_complex), intent(in)	v,
		type(fgsl_matrix_complex), intent(inout)	a
	)

complex(fgsl_double_complex) function fgsl_linalg_complex_householder_transform

(

type(fgsl_vector), intent(inout)

v

)

integer(fgsl_int) function fgsl_linalg_complex_lu_decomp	(	type(fgsl_matrix_complex)	a,
		type(fgsl_permutation)	p,
		integer(fgsl_int)	signum
	)

complex(fgsl_double_complex) function fgsl_linalg_complex_lu_det	(	type(fgsl_matrix_complex), intent(in)	lu,
		integer(fgsl_int), intent(in)	signum
	)

integer(fgsl_int) function fgsl_linalg_complex_lu_invert	(	type(fgsl_matrix_complex), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_matrix_complex), intent(inout)	inverse
	)

real(fgsl_double) function fgsl_linalg_complex_lu_lndet

(

type(fgsl_matrix_complex), intent(in)

lu

)

integer(fgsl_int) function fgsl_linalg_complex_lu_refine	(	type(fgsl_matrix_complex), intent(in)	a,
		type(fgsl_matrix_complex), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector_complex), intent(in)	b,
		type(fgsl_vector_complex), intent(inout)	x,
		type(fgsl_vector_complex), intent(inout)	residual
	)

complex(fgsl_double_complex) function fgsl_linalg_complex_lu_sgndet	(	type(fgsl_matrix_complex), intent(in)	lu,
		integer(fgsl_int), intent(in)	signum
	)

integer(fgsl_int) function fgsl_linalg_complex_lu_solve	(	type(fgsl_matrix_complex), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector_complex), intent(in)	b,
		type(fgsl_vector_complex), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_complex_lu_svx	(	type(fgsl_matrix_complex), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector_complex), intent(inout)	x
	)

subroutine fgsl_linalg_givens	(	real(fgsl_double), intent(in)	a,
		real(fgsl_double), intent(in)	b,
		real(fgsl_double), intent(out)	c,
		real(fgsl_double), intent(out)	s
	)

subroutine fgsl_linalg_givens_gv	(	type(fgsl_vector), intent(inout)	v,
		integer(fgsl_size_t), intent(in)	i,
		integer(fgsl_size_t), intent(in)	j,
		real(fgsl_double), intent(in)	c,
		real(fgsl_double), intent(in)	s
	)

integer(fgsl_int) function fgsl_linalg_hermtd_decomp	(	type(fgsl_matrix_complex), intent(inout)	a,
		type(fgsl_vector_complex), intent(inout)	tau
	)

integer(fgsl_int) function fgsl_linalg_hermtd_unpack	(	type(fgsl_matrix_complex), intent(in)	a,
		type(fgsl_vector_complex), intent(in)	tau,
		type(fgsl_matrix_complex), intent(inout)	q,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	subdiag
	)

integer(fgsl_int) function fgsl_linalg_hermtd_unpack_t	(	type(fgsl_matrix_complex), intent(in)	a,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	subdiag
	)

integer(fgsl_int) function fgsl_linalg_hessenberg_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	tau
	)

integer(fgsl_int) function fgsl_linalg_hessenberg_set_zero

(

type(fgsl_matrix), intent(inout)

h

)

integer(fgsl_int) function fgsl_linalg_hessenberg_unpack	(	type(fgsl_matrix), intent(in)	h,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	u
	)

integer(fgsl_int) function fgsl_linalg_hessenberg_unpack_accum	(	type(fgsl_matrix), intent(in)	h,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	v
	)

integer(fgsl_int) function fgsl_linalg_hesstri_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_matrix), intent(inout)	b,
		type(fgsl_matrix), intent(inout)	u,
		type(fgsl_matrix), intent(inout)	v,
		type(fgsl_vector), intent(inout)	work
	)

integer(fgsl_int) function fgsl_linalg_hh_solve	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_hh_svx	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_householder_hm	(	real(fgsl_double), intent(in)	tau,
		type(fgsl_vector), intent(in)	v,
		type(fgsl_matrix), intent(inout)	a
	)

integer(fgsl_int) function fgsl_linalg_householder_hv	(	real(fgsl_double), intent(in)	tau,
		type(fgsl_vector), intent(in)	v,
		type(fgsl_vector), intent(inout)	w
	)

integer(fgsl_int) function fgsl_linalg_householder_mh	(	real(fgsl_double), intent(in)	tau,
		type(fgsl_vector), intent(in)	v,
		type(fgsl_matrix), intent(inout)	a
	)

real(fgsl_double) function fgsl_linalg_householder_transform

(

type(fgsl_vector), intent(inout)

v

)

integer(fgsl_int) function fgsl_linalg_lu_decomp	(	type(fgsl_matrix)	a,
		type(fgsl_permutation)	p,
		integer(fgsl_int)	signum
	)

real(fgsl_double) function fgsl_linalg_lu_det	(	type(fgsl_matrix), intent(in)	lu,
		integer(fgsl_int), intent(in)	signum
	)

integer(fgsl_int) function fgsl_linalg_lu_invert	(	type(fgsl_matrix), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_matrix), intent(inout)	inverse
	)

real(fgsl_double) function fgsl_linalg_lu_lndet

(

type(fgsl_matrix), intent(in)

lu

)

integer(fgsl_int) function fgsl_linalg_lu_refine	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_matrix), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x,
		type(fgsl_vector), intent(inout)	residual
	)

integer(fgsl_int) function fgsl_linalg_lu_sgndet	(	type(fgsl_matrix), intent(in)	lu,
		integer(fgsl_int), intent(in)	signum
	)

integer(fgsl_int) function fgsl_linalg_lu_solve	(	type(fgsl_matrix), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_lu_svx	(	type(fgsl_matrix), intent(in)	lu,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	tau
	)

integer(fgsl_int) function fgsl_linalg_qr_lssolve	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x,
		type(fgsl_vector), intent(inout)	residual
	)

integer(fgsl_int) function fgsl_linalg_qr_matq	(	type(fgsl_matrix), intent(in)	QR,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	A
	)

integer(fgsl_int) function fgsl_linalg_qr_qrsolve	(	type(fgsl_matrix), intent(in)	q,
		type(fgsl_matrix), intent(in)	r,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_qtmat	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	a
	)

integer(fgsl_int) function fgsl_linalg_qr_qtvec	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_vector), intent(inout)	v
	)

integer(fgsl_int) function fgsl_linalg_qr_qvec	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_vector), intent(inout)	v
	)

integer(fgsl_int) function fgsl_linalg_qr_rsolve	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_rsvx	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_solve	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_svx	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qr_unpack	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	q,
		type(fgsl_matrix), intent(inout)	r
	)

integer(fgsl_int) function fgsl_linalg_qr_update	(	type(fgsl_matrix), intent(inout)	q,
		type(fgsl_matrix), intent(inout)	r,
		type(fgsl_vector), intent(inout)	w,
		type(fgsl_vector), intent(in)	v
	)

integer(fgsl_int) function fgsl_linalg_qrpt_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	tau,
		type(fgsl_permutation), intent(inout)	p,
		integer(fgsl_int), intent(out)	signum,
		type(fgsl_vector), intent(inout)	norm
	)

integer(fgsl_int) function fgsl_linalg_qrpt_decomp2	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_matrix), intent(inout)	q,
		type(fgsl_matrix), intent(inout)	r,
		type(fgsl_vector), intent(inout)	tau,
		type(fgsl_permutation), intent(inout)	p,
		integer(fgsl_int), intent(out)	signum,
		type(fgsl_vector), intent(inout)	norm
	)

integer(fgsl_int) function fgsl_linalg_qrpt_qrsolve	(	type(fgsl_matrix), intent(in)	q,
		type(fgsl_matrix), intent(in)	r,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qrpt_rsolve	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qrpt_rsvx	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qrpt_solve	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qrpt_svx	(	type(fgsl_matrix), intent(in)	qr,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_qrpt_update	(	type(fgsl_matrix), intent(inout)	q,
		type(fgsl_matrix), intent(inout)	r,
		type(fgsl_permutation), intent(in)	p,
		type(fgsl_vector), intent(inout)	w,
		type(fgsl_vector), intent(in)	v
	)

integer(fgsl_int) function fgsl_linalg_r_solve	(	type(fgsl_matrix), intent(in)	r,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_r_svx	(	type(fgsl_matrix), intent(in)	r,
		type(fgsl_vector), intent(inout)	x
	)

integer(c_int) function fgsl_linalg_solve_cyc_tridiag	(	type(fgsl_vector), intent(in)	diag,
		type(fgsl_vector), intent(in)	e,
		type(fgsl_vector), intent(in)	f,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(c_int) function fgsl_linalg_solve_symm_cyc_tridiag	(	type(fgsl_vector), intent(in)	diag,
		type(fgsl_vector), intent(in)	e,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(c_int) function fgsl_linalg_solve_symm_tridiag	(	type(fgsl_vector), intent(in)	diag,
		type(fgsl_vector), intent(in)	e,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(c_int) function fgsl_linalg_solve_tridiag	(	type(fgsl_vector), intent(in)	diag,
		type(fgsl_vector), intent(in)	e,
		type(fgsl_vector), intent(in)	f,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_sv_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_matrix), intent(inout)	v,
		type(fgsl_vector), intent(inout)	s,
		type(fgsl_vector), intent(inout)	work
	)

integer(fgsl_int) function fgsl_linalg_sv_decomp_jacobi	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_matrix), intent(inout)	v,
		type(fgsl_vector), intent(inout)	s
	)

integer(fgsl_int) function fgsl_linalg_sv_decomp_mod	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_matrix), intent(inout)	x,
		type(fgsl_matrix), intent(inout)	v,
		type(fgsl_vector), intent(inout)	s,
		type(fgsl_vector), intent(inout)	work
	)

integer(fgsl_int) function fgsl_linalg_sv_leverage	(	type(fgsl_matrix), intent(in)	u,
		type(fgsl_vector), intent(inout)	h
	)

integer(fgsl_int) function fgsl_linalg_sv_solve	(	type(fgsl_matrix), intent(in)	u,
		type(fgsl_matrix), intent(in)	v,
		type(fgsl_vector), intent(in)	s,
		type(fgsl_vector), intent(in)	b,
		type(fgsl_vector), intent(inout)	x
	)

integer(fgsl_int) function fgsl_linalg_symmtd_decomp	(	type(fgsl_matrix), intent(inout)	a,
		type(fgsl_vector), intent(inout)	tau
	)

integer(fgsl_int) function fgsl_linalg_symmtd_unpack	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_vector), intent(in)	tau,
		type(fgsl_matrix), intent(inout)	q,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	subdiag
	)

integer(fgsl_int) function fgsl_linalg_symmtd_unpack_t	(	type(fgsl_matrix), intent(in)	a,
		type(fgsl_vector), intent(inout)	diag,
		type(fgsl_vector), intent(inout)	subdiag
	)