fMatrix.cpp File Reference

Function implementations for fMat/fVec classes. More...

#include "fMatrix.h"

Include dependency graph for fMatrix.cpp:

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Functions
fMat	eigs (const fMat &mat, double *w)
fMat	inv (const fMat &mat)
int	inv_col_replaced (const fMat &P, const fMat &q, const fMat &m2d, fMat &X, fMat &y)
int	inv_enlarge (const fMat &m12, const fMat &m21, const fMat &m22, const fMat &P, fMat &X, fMat &y, fMat &z, fMat &w)
int	inv_row_replaced (const fMat &P, const fMat &q, const fMat &m2d, fMat &X, fMat &y)
int	inv_shrink (const fMat &P, const fMat &q, const fMat &r, const fMat &s, fMat &X)
fMat	inv_svd (const fMat &mat, int lwork)
fMat	lineq (const fMat &A, const fMat &b)
fMat	lineq_sr (const fMat &A, fVec &w_err, fVec &w_norm, double k, const fMat &b)
fMat	lineq_svd (const fMat &A, const fMat &b, int lwork)
fVec	operator* (const fMat &mat, const fVec &vec)
fMat	operator* (const fMat &mat, double d)
fMat	operator* (const fMat &mat1, const fMat &mat2)
fVec	operator* (const fVec &vec, double d)
double	operator* (const fVec &vec1, const fVec &vec2)
fMat	operator* (double d, const fMat &mat)
fVec	operator* (double d, const fVec &vec)
fMat	operator+ (const fMat &mat1, const fMat &mat2)
fVec	operator+ (const fVec &vec1, const fVec &vec2)
fMat	operator- (const fMat &mat)
fMat	operator- (const fMat &mat1, const fMat &mat2)
fVec	operator- (const fVec &vec)
fVec	operator- (const fVec &vec1, const fVec &vec2)
fMat	operator/ (const fMat &mat, double d)
fVec	operator/ (const fVec &vec, double d)
fMat	p_inv (const fMat &mat)
fMat	p_inv_svd (const fMat &mat, int lwork)
fMat	sr_inv (const fMat &mat, fVec &w_err, fVec &w_norm, double k)
fMat	sr_inv_svd (const fMat &mat, fVec &w_err, fVec &w_norm, double k, int lwork)
fMat	tran (const fMat &mat)

Detailed Description

Function implementations for fMat/fVec classes.

Author

Katsu Yamane

Date

06/17/2003

Definition in file fMatrix.cpp.

Function Documentation

eigs()

fMat eigs	(	const fMat &	mat,
		double *	w
	)

Definition at line 1659 of file fMatrix.cpp.

inv()

fMat inv

(

const fMat &

mat

)

Definition at line 176 of file fMatrix.cpp.

inv_col_replaced()

int inv_col_replaced	(	const fMat &	P,
		const fMat &	q,
		const fMat &	m2d,
		fMat &	X,
		fMat &	y
	)

Computes the inverse when some columns are replaced:

| X | = | M1  m2' |-1
| y |                

where

| P | = | M1  m2 |-1
| q |   |        |  

are known

Definition at line 1357 of file fMatrix.cpp.

inv_enlarge()

int inv_enlarge	(	const fMat &	m12,
		const fMat &	m21,
		const fMat &	m22,
		const fMat &	P,
		fMat &	X,
		fMat &	y,
		fMat &	z,
		fMat &	w
	)

Computes the inverse of an enlarged matrix:

| X  y | = | M11  m12 |-1
| z  w |   | m21  m22 |  

where M11, m12, m21, m22, and P=M11^{-1} are known

Definition at line 1288 of file fMatrix.cpp.

inv_row_replaced()

int inv_row_replaced	(	const fMat &	P,
		const fMat &	q,
		const fMat &	m2d,
		fMat &	X,
		fMat &	y
	)

Computes the inverse when some rows are replaced:

| X  y | = | M1  |-1
|      |   | m2' |  

where

| P  q | = | M1 |-1
|      |   | m2 |  

are known

Definition at line 1334 of file fMatrix.cpp.

inv_shrink()

int inv_shrink	(	const fMat &	P,
		const fMat &	q,
		const fMat &	r,
		const fMat &	s,
		fMat &	X
	)

Computes the inverse of a shrinked matrix: X = M11^(-1) where

| P  q | = | M11 m12 |-1
| r  s |   | m21 m22 |  

are known

Definition at line 1318 of file fMatrix.cpp.

inv_svd()

fMat inv_svd	(	const fMat &	mat,
		int	lwork
	)

Definition at line 484 of file fMatrix.cpp.

lineq()

fMat lineq	(	const fMat &	A,
		const fMat &	b
	)

Definition at line 137 of file fMatrix.cpp.

lineq_sr()

fMat lineq_sr	(	const fMat &	A,
		fVec &	w_err,
		fVec &	w_norm,
		double	k,
		const fMat &	b
	)

Definition at line 930 of file fMatrix.cpp.

lineq_svd()

fMat lineq_svd	(	const fMat &	A,
		const fMat &	b,
		int	lwork
	)

Definition at line 416 of file fMatrix.cpp.

operator*() [1/7]

fVec operator*	(	const fMat &	mat,
		const fVec &	vec
	)

Definition at line 1412 of file fMatrix.cpp.

operator*() [2/7]

fMat operator*	(	const fMat &	mat,
		double	d
	)

Definition at line 1138 of file fMatrix.cpp.

operator*() [3/7]

fMat operator*	(	const fMat &	mat1,
		const fMat &	mat2
	)

Definition at line 1268 of file fMatrix.cpp.

operator*() [4/7]

fVec operator*	(	const fVec &	vec,
		double	d
	)

Definition at line 1639 of file fMatrix.cpp.

operator*() [5/7]

double operator*	(	const fVec &	vec1,
		const fVec &	vec2
	)

Definition at line 1612 of file fMatrix.cpp.

operator*() [6/7]

fMat operator*	(	double	d,
		const fMat &	mat
	)

Definition at line 1130 of file fMatrix.cpp.

operator*() [7/7]

fVec operator*	(	double	d,
		const fVec &	vec
	)

Definition at line 1632 of file fMatrix.cpp.

operator+() [1/2]

fMat operator+	(	const fMat &	mat1,
		const fMat &	mat2
	)

Definition at line 1187 of file fMatrix.cpp.

operator+() [2/2]

fVec operator+	(	const fVec &	vec1,
		const fVec &	vec2
	)

Definition at line 1574 of file fMatrix.cpp.

operator-() [1/4]

fMat operator-

(

const fMat &

mat

)

Definition at line 1088 of file fMatrix.cpp.

operator-() [2/4]

fMat operator-	(	const fMat &	mat1,
		const fMat &	mat2
	)

Definition at line 1208 of file fMatrix.cpp.

operator-() [3/4]

fVec operator-

(

const fVec &

vec

)

Definition at line 1531 of file fMatrix.cpp.

operator-() [4/4]

fVec operator-	(	const fVec &	vec1,
		const fVec &	vec2
	)

Definition at line 1590 of file fMatrix.cpp.

operator/() [1/2]

fMat operator/	(	const fMat &	mat,
		double	d
	)

Definition at line 1435 of file fMatrix.cpp.

operator/() [2/2]

fVec operator/	(	const fVec &	vec,
		double	d
	)

Definition at line 1605 of file fMatrix.cpp.

p_inv()

fMat p_inv

(

const fMat &

mat

)

Definition at line 191 of file fMatrix.cpp.

p_inv_svd()

fMat p_inv_svd	(	const fMat &	mat,
		int	lwork
	)

Definition at line 501 of file fMatrix.cpp.

sr_inv()

fMat sr_inv	(	const fMat &	mat,
		fVec &	w_err,
		fVec &	w_norm,
		double	k
	)

Definition at line 226 of file fMatrix.cpp.

sr_inv_svd()

fMat sr_inv_svd	(	const fMat &	mat,
		fVec &	w_err,
		fVec &	w_norm,
		double	k,
		int	lwork
	)

Definition at line 536 of file fMatrix.cpp.

tran()

fMat tran

(

const fMat &

mat

)

Definition at line 1013 of file fMatrix.cpp.