src/linalg.c File Reference

#include <it/linalg.h>
#include <it/mat.h>
#include <it/vec.h>

Go to the source code of this file.

Functions
static void	ccdiv (double xr, double xi, double yr, double yi, double *cdivr, double *cdivi)
static double	maxx (double a, double b)
int	mat_is_symmetric (mat a)
vec	mat_svd (mat M, mat U, mat V)
int	mat_rank (mat a)
double	mat_cond (mat a)
double	mat_norm2 (mat a)
static mat	mat_tridiag (vec e, vec d, mat evec)
static vec	mat_tridiag_ql (vec e, vec d, mat evec)
mat	mat_hessenberg (mat a, mat V)
static cvec	mat_h2rs (mat H, mat evec)
vec	mat_eig_sym (mat a, mat evec)
cvec	mat_eig (mat a, cmat evec)
mat	mat_real_schur (mat a)
double	mat_lu (mat a, ivec piv)
double	mat_det (mat a)
vec	mat_solve_vec (mat A, vec b)
mat	mat_solve_mat (mat A, mat B)
static mat	mat_inv_direct (mat A)
vec	mat_qr (mat A)
mat	mat_ls (mat A, mat B)
void	mat_gs (mat A)
void	mat_cholesky (mat a)
mat	mat_inv (mat m)
mat	mat_new_inv (mat m)
cmat	cmat_inv (cmat m)
cmat	cmat_new_inv (cmat m)

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Function Documentation

static void ccdiv	(	double	xr,
		double	xi,
		double	yr,
		double	yi,
		double *	cdivr,
		double *	cdivi
	)			[static]

Definition at line 40 of file linalg.c.

Referenced by mat_h2rs().

cmat cmat_inv

(

cmat

m

)

Definition at line 2079 of file linalg.c.

References cmat_delete(), cmat_height(), cmat_new_void(), cmat_width(), cmul(), cnorm(), cplx_0, csub(), cvec_delete(), cvec_div_by(), cvec_new(), it_assert, IT_EPSILON, and it_warning().

cmat cmat_new_inv

(

cmat

m

)

Definition at line 2122 of file linalg.c.

References cmat_clone(), and cmat_inv().

cvec mat_eig	(	mat	a,
		cmat	evec
	)

Definition at line 1525 of file linalg.c.

References cimag, cmat_height(), cmat_width(), creal, it_assert, mat_clone(), mat_delete(), mat_h2rs(), mat_height(), mat_hessenberg(), and mat_width().

static cvec mat_h2rs	(	mat	H,
		mat	evec
	)			[static]

Definition at line 1002 of file linalg.c.

References ccdiv(), cimag, creal, cvec_new_zeros(), it_assert, mat_height(), mat_width(), vec_delete(), vec_length(), and vec_new_zeros().

Referenced by mat_eig(), and mat_real_schur().

static mat mat_inv_direct

(

mat

A

)

[static]

Definition at line 1844 of file linalg.c.

References it_assert, mat_delete(), mat_eye(), mat_height(), mat_new_zeros(), mat_solve_mat(), and mat_width().

Referenced by mat_inv(), and mat_new_inv().

static mat mat_tridiag	(	vec	e,
		vec	d,
		mat	evec
	)			[static]

Definition at line 632 of file linalg.c.

References it_assert, mat_height(), mat_width(), scale, and vec_zeros().

Referenced by mat_eig_sym().

static vec mat_tridiag_ql	(	vec	e,
		vec	d,
		mat	evec
	)			[static]

Definition at line 756 of file linalg.c.

References mat_height().

Referenced by mat_eig_sym().

static double maxx	(	double	a,
		double	b
	)			[static]

Definition at line 60 of file linalg.c.

Referenced by mat_svd().