matrix2.h File Reference

#include "matrix.h"

Go to the source code of this file.

Functions
MAT *	BKPfactor (MAT *A, PERM *pivot, PERM *blocks)
MAT *	CHfactor (MAT *A)
MAT *	LUfactor (MAT *A, PERM *pivot)
MAT *	QRfactor (MAT *A, VEC *diag)
MAT *	QRCPfactor (MAT *A, VEC *diag, PERM *pivot)
MAT *	LDLfactor (MAT *A)
MAT *	Hfactor (MAT *A, VEC *diag1, VEC *diag2)
MAT *	MCHfactor (MAT *A, double tol)
MAT *	m_inverse (MAT *A, MAT *out)
double	LUcondest (MAT *A, PERM *pivot)
double	QRcondest (MAT *A)
MAT *	makeQ (MAT *A, VEC *diag, MAT *Qout)
MAT *	makeR (MAT *A, MAT *Rout)
MAT *	makeHQ (MAT *A, VEC *diag1, VEC *diag2, MAT *Qout)
MAT *	makeH (MAT *A, MAT *Hout)
MAT *	LDLupdate (MAT *A, VEC *u, double alpha)
MAT *	QRupdate (MAT *Q, MAT *R, VEC *u, VEC *v)
VEC *	BKPsolve (MAT *A, PERM *pivot, PERM *blocks, VEC *b, VEC *x)
VEC *	CHsolve (MAT *A, VEC *b, VEC *x)
VEC *	LDLsolve (MAT *A, VEC *b, VEC *x)
VEC *	LUsolve (MAT *A, PERM *pivot, VEC *b, VEC *x)
VEC *	_Qsolve (MAT *A, VEC *, VEC *, VEC *, VEC *)
VEC *	QRsolve (MAT *A, VEC *, VEC *b, VEC *x)
VEC *	QRTsolve (MAT *A, VEC *, VEC *b, VEC *x)
VEC *	Usolve (MAT *A, VEC *b, VEC *x, double diag_val)
VEC *	Lsolve (MAT *A, VEC *b, VEC *x, double diag_val)
VEC *	Dsolve (MAT *A, VEC *b, VEC *x)
VEC *	LTsolve (MAT *A, VEC *b, VEC *x, double diag_val)
VEC *	UTsolve (MAT *A, VEC *b, VEC *x, double diag_val)
VEC *	LUTsolve (MAT *A, PERM *, VEC *, VEC *)
VEC *	QRCPsolve (MAT *QR, VEC *diag, PERM *pivot, VEC *b, VEC *x)
BAND *	bdLUfactor (BAND *A, PERM *pivot)
BAND *	bdLDLfactor (BAND *A)
VEC *	bdLUsolve (BAND *A, PERM *pivot, VEC *b, VEC *x)
VEC *	bdLDLsolve (BAND *A, VEC *b, VEC *x)
VEC *	hhvec (VEC *, u_int, Real *, VEC *, Real *)
VEC *	hhtrvec (VEC *, double, u_int, VEC *, VEC *)
MAT *	hhtrrows (MAT *, u_int, u_int, VEC *, double)
MAT *	hhtrcols (MAT *, u_int, u_int, VEC *, double)
void	givens (double, double, Real *, Real *)
VEC *	rot_vec (VEC *, u_int, u_int, double, double, VEC *)
MAT *	rot_rows (MAT *, u_int, u_int, double, double, MAT *)
MAT *	rot_cols (MAT *, u_int, u_int, double, double, MAT *)
VEC *	trieig (VEC *a, VEC *b, MAT *Q)
VEC *	symmeig (MAT *A, MAT *Q, VEC *out)
MAT *	schur (MAT *A, MAT *Q)
void	schur_evals (MAT *A, VEC *re_part, VEC *im_part)
MAT *	schur_vecs (MAT *T, MAT *Q, MAT *X_re, MAT *X_im)
VEC *	bisvd (VEC *a, VEC *b, MAT *U, MAT *V)
VEC *	svd (MAT *A, MAT *U, MAT *V, VEC *out)
MAT *	_m_pow (MAT *, int, MAT *, MAT *)
MAT *	m_pow (MAT *, int, MAT *)
MAT *	m_exp (MAT *, double, MAT *)
MAT *	_m_exp (MAT *, double, MAT *, int *, int *)
MAT *	m_poly (MAT *, VEC *, MAT *)
void	fft (VEC *, VEC *)
void	ifft (VEC *, VEC *)

Function Documentation

_m_exp()

MAT* _m_exp	(	MAT *	A,
		double	eps,
		MAT *	out,
		int *	q_out,
		int *	j_out
	)

Definition at line 134 of file mfunc.c.

_m_pow()

MAT* _m_pow	(	MAT *	A,
		int	p,
		MAT *	tmp,
		MAT *	out
	)

Definition at line 45 of file mfunc.c.

_Qsolve()

VEC * _Qsolve	(	MAT *	A,
		VEC *	,
		VEC *	,
		VEC *	,
		VEC *
	)

bdLDLfactor()

BAND * bdLDLfactor

(

BAND *

A

)

Definition at line 507 of file bdfactor.c.

bdLDLsolve()

VEC * bdLDLsolve	(	BAND *	A,
		VEC *	b,
		VEC *	x
	)

Definition at line 554 of file bdfactor.c.

bdLUfactor()

BAND* bdLUfactor	(	BAND *	A,
		PERM *	pivot
	)

bdLUsolve()

VEC* bdLUsolve	(	BAND *	A,
		PERM *	pivot,
		VEC *	b,
		VEC *	x
	)

bisvd()

VEC* bisvd	(	VEC *	a,
		VEC *	b,
		MAT *	U,
		MAT *	V
	)

BKPfactor()

MAT* BKPfactor	(	MAT *	A,
		PERM *	pivot,
		PERM *	blocks
	)

BKPsolve()

VEC* BKPsolve	(	MAT *	A,
		PERM *	pivot,
		PERM *	blocks,
		VEC *	b,
		VEC *	x
	)

CHfactor()

MAT * CHfactor

(

MAT *

A

)

CHsolve()

VEC * CHsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x
	)

Dsolve()

VEC * Dsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x
	)

fft()

void fft	(	VEC *	x_re,
		VEC *	x_im
	)

Definition at line 45 of file fft.c.

givens()

void givens	(	double	x,
		double	y,
		Real *	c,
		Real *	s
	)

Definition at line 47 of file givens.c.

Hfactor()

MAT * Hfactor	(	MAT *	A,
		VEC *	diag1,
		VEC *	diag2
	)

hhtrcols()

MAT* hhtrcols	(	MAT *	M,
		u_int	i0,
		u_int	j0,
		VEC *	hh,
		double	beta
	)

Definition at line 146 of file hsehldr.c.

hhtrrows()

MAT* hhtrrows	(	MAT *	M,
		u_int	i0,
		u_int	j0,
		VEC *	hh,
		double	beta
	)

Definition at line 100 of file hsehldr.c.

hhtrvec()

VEC* hhtrvec	(	VEC *	hh,
		double	beta,
		u_int	i0,
		VEC *	in,
		VEC *	out
	)

Definition at line 72 of file hsehldr.c.

hhvec()

VEC* hhvec	(	VEC *	vec,
		u_int	i0,
		Real *	beta,
		VEC *	out,
		Real *	newval
	)

Definition at line 47 of file hsehldr.c.

ifft()

void ifft	(	VEC *	x_re,
		VEC *	x_im
	)

Definition at line 137 of file fft.c.

LDLfactor()

MAT * LDLfactor

(

MAT *

A

)

LDLsolve()

VEC * LDLsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x
	)

LDLupdate()

MAT* LDLupdate	(	MAT *	A,
		VEC *	u,
		double	alpha
	)

Lsolve()

VEC * Lsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x,
		double	diag_val
	)

LTsolve()

VEC * LTsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x,
		double	diag_val
	)

LUcondest()

double LUcondest	(	MAT *	A,
		PERM *	pivot
	)

LUfactor()

MAT * LUfactor	(	MAT *	A,
		PERM *	pivot
	)

LUsolve()

VEC * LUsolve	(	MAT *	A,
		PERM *	pivot,
		VEC *	b,
		VEC *	x
	)

LUTsolve()

VEC * LUTsolve	(	MAT *	A,
		PERM *	,
		VEC *	,
		VEC *
	)

m_exp()

MAT* m_exp	(	MAT *	A,
		double	eps,
		MAT *	out
	)

Definition at line 297 of file mfunc.c.

m_inverse()

MAT * m_inverse	(	MAT *	A,
		MAT *	out
	)

Definition at line 179 of file lufactor.c.

m_poly()

MAT* m_poly	(	MAT *	A,
		VEC *	a,
		MAT *	out
	)

Definition at line 311 of file mfunc.c.

m_pow()

MAT* m_pow	(	MAT *	A,
		int	p,
		MAT *	out
	)

Definition at line 99 of file mfunc.c.

makeH()

MAT * makeH	(	MAT *	A,
		MAT *	Hout
	)

Definition at line 133 of file hessen.c.

makeHQ()

MAT * makeHQ	(	MAT *	A,
		VEC *	diag1,
		VEC *	diag2,
		MAT *	Qout
	)

makeQ()

MAT* makeQ	(	MAT *	A,
		VEC *	diag,
		MAT *	Qout
	)

makeR()

MAT * makeR	(	MAT *	A,
		MAT *	Rout
	)

MCHfactor()

MAT * MCHfactor	(	MAT *	A,
		double	tol
	)

QRcondest()

double QRcondest

(

MAT *

A

)

Definition at line 449 of file qrfactor.c.

QRCPfactor()

MAT * QRCPfactor	(	MAT *	A,
		VEC *	diag,
		PERM *	pivot
	)

QRCPsolve()

VEC * QRCPsolve	(	MAT *	QR,
		VEC *	diag,
		PERM *	pivot,
		VEC *	b,
		VEC *	x
	)

QRfactor()

MAT * QRfactor	(	MAT *	A,
		VEC *	diag
	)

QRsolve()

VEC * QRsolve	(	MAT *	A,
		VEC *	,
		VEC *	b,
		VEC *	x
	)

QRTsolve()

VEC * QRTsolve	(	MAT *	A,
		VEC *	,
		VEC *	b,
		VEC *	x
	)

QRupdate()

MAT * QRupdate	(	MAT *	Q,
		MAT *	R,
		VEC *	u,
		VEC *	v
	)

Definition at line 87 of file update.c.

rot_cols()

MAT* rot_cols	(	MAT *	mat,
		u_int	i,
		u_int	k,
		double	c,
		double	s,
		MAT *	out
	)

Definition at line 114 of file givens.c.

rot_rows()

MAT* rot_rows	(	MAT *	mat,
		u_int	i,
		u_int	k,
		double	c,
		double	s,
		MAT *	out
	)

Definition at line 85 of file givens.c.

rot_vec()

VEC* rot_vec	(	VEC *	x,
		u_int	i,
		u_int	k,
		double	c,
		double	s,
		VEC *	out
	)

Definition at line 61 of file givens.c.

schur()

MAT* schur	(	MAT *	A,
		MAT *	Q
	)

Definition at line 155 of file schur.c.

schur_evals()

void schur_evals	(	MAT *	A,
		VEC *	re_part,
		VEC *	im_part
	)

Definition at line 432 of file schur.c.

schur_vecs()

MAT* schur_vecs	(	MAT *	T,
		MAT *	Q,
		MAT *	X_re,
		MAT *	X_im
	)

Definition at line 488 of file schur.c.

svd()

VEC * svd	(	MAT *	A,
		MAT *	U,
		MAT *	V,
		VEC *	out
	)

Definition at line 350 of file svd.c.

symmeig()

VEC * symmeig	(	MAT *	A,
		MAT *	Q,
		VEC *	out
	)

Definition at line 174 of file symmeig.c.

trieig()

VEC* trieig	(	VEC *	a,
		VEC *	b,
		MAT *	Q
	)

Usolve()

VEC * Usolve	(	MAT *	A,
		VEC *	b,
		VEC *	x,
		double	diag_val
	)

UTsolve()

VEC * UTsolve	(	MAT *	A,
		VEC *	b,
		VEC *	x,
		double	diag_val
	)