Matrix Class Reference

#include <Matrix.h>

Classes
class	Row

Public Member Functions
	Matrix ()
	Matrix (const Matrix &mat)
	Matrix (long rows, long cols)
	Matrix (Bstring &filename)
	~Matrix ()
void	write (Bstring &filename)
double *	data ()
Row	operator[] (long i)
Matrix	operator= (const Matrix mat)
Matrix	operator- ()
Matrix	operator+= (Matrix mat)
Matrix	operator+ (Matrix mat)
Matrix	operator-= (Matrix mat)
Matrix	operator- (Matrix mat)
Matrix	operator*= (Matrix mat)
Matrix	operator* (Matrix &mat)
vector< double >	operator* (vector< double > &vec)
long	rows ()
long	columns ()
long	size ()
void	show_below_cutoff (double d)
void	swap_rows_columns (long rc1, long rc2)
Matrix	delete_row_column (long rc)
Matrix	transpose () const
void	fill (double v)
int	check_for_singularity ()
void	normalize ()
void	randomize ()
int	multiply_in_place (vector< double > &vec)
	Multiplies a matrix by a vector, modifiying the vector. More...
double	determinant ()
double	LU_decomposition ()
	Matrix inversion by LU decomposition. More...
double	LU_decomposition (vector< double > &b)
double	singular_value_decomposition ()
	Singular value decomposition of a matrix . More...
double	singular_value_decomposition (vector< double > &b)
int	jrotate (double s, double tau, long i, long j, long k, long l)
vector< double >	jacobi_rotation ()
	Computes all eigenvalues and eigenvectors of a real symmetric matrix. More...
void	eigen_sort (vector< double > &val)
	Sorts eigenvalues into descending order and rearranges matrix columns accordingly. More...

Constructor & Destructor Documentation

Matrix() [1/4]

Matrix::Matrix ( )

inline

Matrix() [2/4]

Matrix::Matrix ( const Matrix &  mat )

inline

Matrix() [3/4]

Matrix::Matrix ( long  rows, long  cols  )

inline

Matrix() [4/4]

Matrix::Matrix ( Bstring &  filename )

inline

~Matrix()

Matrix::~Matrix ( )

inline

Member Function Documentation

check_for_singularity()

int Matrix::check_for_singularity ( )

inline

columns()

long Matrix::columns ( )

inline

data()

double * Matrix::data ( )

inline

delete_row_column()

Matrix Matrix::delete_row_column ( long  rc )

inline

determinant()

double Matrix::determinant ( )

inline

eigen_sort()

void Matrix::eigen_sort

(

vector< double > &

val

)

Sorts eigenvalues into descending order and rearranges matrix columns accordingly.

Parameters

val	eigenvalues. The eigenvectors are in the columns. This method uses straight insertion. Reference: Press W.H. et al (1992) Numerical Recipes in C.

fill()

void Matrix::fill ( double  v )

inline

jacobi_rotation()

vector< double > Matrix::jacobi_rotation

(

)

Computes all eigenvalues and eigenvectors of a real symmetric matrix.

Returns

double* val eigenvalues.

The eigenvectors are returned in the columns of the input matrix. Reference: Press W.H. et al (1992) Numerical Recipes in C.

jrotate()

int Matrix::jrotate	(	double	s,
		double	tau,
		long	i,
		long	j,
		long	k,
		long	l
	)

LU_decomposition() [1/2]

double Matrix::LU_decomposition

(

)

Matrix inversion by LU decomposition.

Returns

double determinant.

This inverts matrix A by LU decomposition.
The matrix A must be square and is converted to and replaced by its inverse.
Note: The matrix is modified.

Reference: Press W.H. et al (1992) Numerical Recipes in C.

LU_decomposition() [2/2]

double Matrix::LU_decomposition ( vector< double > &  b )

inline

multiply_in_place()

int Matrix::multiply_in_place

(

vector< double > &

vec

)

Multiplies a matrix by a vector, modifiying the vector.

Parameters

&vec

vector.

Returns

double determinant.

normalize()

void Matrix::normalize ( )

inline

The rows and columns are alternatively iteratively normalized until the error is small enough.

operator*() [1/2]

Matrix Matrix::operator* ( Matrix &  mat )

inline

operator*() [2/2]

vector< double > Matrix::operator* ( vector< double > &  vec )

inline

operator*=()

Matrix Matrix::operator*= ( Matrix  mat )

inline

operator+()

Matrix Matrix::operator+ ( Matrix  mat )

inline

operator+=()

Matrix Matrix::operator+= ( Matrix  mat )

inline

operator-() [1/2]

Matrix Matrix::operator- ( )

inline

operator-() [2/2]

Matrix Matrix::operator- ( Matrix  mat )

inline

operator-=()

Matrix Matrix::operator-= ( Matrix  mat )

inline

operator=()

Matrix Matrix::operator= ( const Matrix  mat )

inline

operator[]()

Row Matrix::operator[] ( long  i )

inline

randomize()

void Matrix::randomize ( )

inline

rows()

long Matrix::rows ( )

inline

show_below_cutoff()

void Matrix::show_below_cutoff ( double  d )

inline

singular_value_decomposition() [1/2]

double Matrix::singular_value_decomposition

(

)

Singular value decomposition of a matrix .

Returns

double* 0.

The matrix A is replaced by the matrix U. Reference: Press W.H. et al (1992) Numerical Recipes in C.

singular_value_decomposition() [2/2]

double Matrix::singular_value_decomposition ( vector< double > &  b )

inline

size()

long Matrix::size ( )

inline

swap_rows_columns()

void Matrix::swap_rows_columns ( long  rc1, long  rc2  )

inline

transpose()

Matrix Matrix::transpose ( ) const

inline

write()

void Matrix::write ( Bstring &  filename )

inline

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The documentation for this class was generated from the following files:

• /Users/heymannb/b20/bsoft/include/Matrix.h
• /Users/heymannb/b20/bsoft/src/util/matrix.cpp