Linear Algebra

Functions
vec	mat_solve_vec (mat A, vec b)
mat	mat_solve_mat (mat A, mat B)
mat	mat_ls (mat A, mat B)
double	mat_lu (mat a, ivec piv)
void	mat_cholesky (mat a)
vec	mat_qr (mat a)
void	mat_gs (mat A)
mat	mat_real_schur (mat a)
cvec	mat_eig (mat a, cmat evec)
vec	mat_eig_sym (mat a, mat evec)
mat	mat_hessenberg (mat a, mat V)
vec	mat_svd (mat A, mat U, mat V)
mat	mat_inv (mat m)
mat	mat_new_inv (mat m)
cmat	cmat_inv (cmat m)
cmat	cmat_new_inv (cmat m)
int	mat_is_symmetric (mat a)
double	mat_det (mat a)
double	mat_norm2 (mat a)
double	mat_cond (mat a)
int	mat_rank (mat a)

---

Detailed Description

---

Function Documentation

cmat cmat_inv

(

cmat

m

)

Referenced by cmat_new_inv().

cmat cmat_new_inv

(

cmat

m

)

void mat_cholesky

(

mat

a

)

Definition at line 2011 of file linalg.c.

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

double mat_cond

(

mat

a

)

Definition at line 599 of file linalg.c.

References mat_height(), mat_svd(), mat_width(), and vec_delete().

Referenced by main().

double mat_det

(

mat

a

)

Definition at line 1722 of file linalg.c.

References ivec_delete(), ivec_new_zeros(), mat_clone(), mat_delete(), mat_height(), and mat_lu().

Referenced by main().

cvec mat_eig	(	mat	a,
		cmat	evec
	)

Referenced by main().

vec mat_eig_sym	(	mat	a,
		mat	evec
	)

Definition at line 1488 of file linalg.c.

References it_assert, mat_height(), mat_tridiag(), mat_tridiag_ql(), mat_width(), vec_delete(), and vec_new_zeros().

Referenced by mat_pow_one_by_two(), and PCAmat().

void mat_gs

(

mat

A

)

Definition at line 1976 of file linalg.c.

References mat_cols_normalize(), mat_get_col(), mat_height(), mat_width(), vec_add(), vec_delete(), vec_mul_by(), vec_new(), vec_norm(), and vec_zeros().

Referenced by fpICA(), and main().

mat mat_hessenberg	(	mat	a,
		mat	V
	)

Definition at line 889 of file linalg.c.

References it_assert, mat_clone(), mat_height(), mat_width(), mat_zeros(), scale, vec_delete(), and vec_new_zeros().

Referenced by mat_eig(), and mat_real_schur().

mat mat_inv

(

mat

m

)

Definition at line 2047 of file linalg.c.

References mat_delete(), mat_height(), mat_inv_direct(), and mat_width().

Referenced by fpICA(), and whitenv().

int mat_is_symmetric

(

mat

a

)

Definition at line 68 of file linalg.c.

References mat_height(), and mat_width().

mat mat_ls	(	mat	A,
		mat	B
	)

Definition at line 1912 of file linalg.c.

References it_assert, it_warning(), mat_clone(), mat_delete(), mat_height(), mat_qr(), mat_width(), and vec_delete().

double mat_lu	(	mat	a,
		ivec	piv
	)

Definition at line 1627 of file linalg.c.

References it_assert, IT_EPSILON, it_warning(), ivec_length(), mat_height(), mat_swap_rows(), and mat_width().

Referenced by mat_det(), mat_solve_mat(), and mat_solve_vec().

mat mat_new_inv

(

mat

m

)

Definition at line 2072 of file linalg.c.

References mat_inv_direct().

Referenced by main(), and mat_pow_one_by_two().

double mat_norm2

(

mat

a

)

Definition at line 618 of file linalg.c.

References mat_svd(), and vec_delete().

Referenced by main().

vec mat_qr

(

mat

a

)

Definition at line 1862 of file linalg.c.

References mat_height(), mat_width(), and vec_new().

Referenced by mat_ls().

int mat_rank

(

mat

a

)

Definition at line 576 of file linalg.c.

References mat_height(), mat_svd(), mat_width(), vec_delete(), and vec_length().

Referenced by main().

mat mat_real_schur

(

mat

a

)

Definition at line 1609 of file linalg.c.

References cvec_delete(), it_assert, mat_delete(), mat_h2rs(), mat_height(), mat_hessenberg(), mat_new_zeros(), and mat_width().

mat mat_solve_mat	(	mat	A,
		mat	B
	)

Definition at line 1793 of file linalg.c.

References it_assert, it_warning(), ivec_delete(), ivec_length(), ivec_new(), mat_clone(), mat_delete(), mat_height(), mat_lu(), mat_new(), and mat_width().

Referenced by mat_inv_direct().

vec mat_solve_vec	(	mat	A,
		vec	b
	)

Definition at line 1741 of file linalg.c.

References it_assert, it_warning(), ivec_delete(), ivec_length(), ivec_new(), mat_clone(), mat_delete(), mat_height(), mat_lu(), mat_width(), vec_length(), and vec_new().

vec mat_svd	(	mat	A,
		mat	U,
		mat	V
	)

Definition at line 103 of file linalg.c.

References A, it_assert, mat_clone(), mat_height(), mat_width(), mat_zeros(), maxx(), scale, vec_delete(), and vec_new_zeros().

Referenced by main(), mat_cond(), mat_norm2(), and mat_rank().