---

MatrixFD Class Reference

A user level class for column oriented storage of a full double Matrix. More...

#include <matrixFD.h>

Inheritance diagram for MatrixFD:

List of all members.

Public Methods
constructors and destructor
	MatrixFD ()
	default constructor.
	MatrixFD (const int nr, const int nc=1, const double value=0.0)
	standard constructor.
	MatrixFD (const MatrixC<double>& B)
	copy constructor.
	~MatrixFD ()
	virtual destructor.
MatrixFD&	operator= (const double value)
	assignment with a constant value.
copy of rows and columns
VectorD	column (const int j) const
	create VectorD from column of this Matrix.
VectorD	row (const int i) const
	create VectorD from row of this Matrix.
MatrixFD low level algebraic methods
Optimized, overloaded low level algebra methods for MatrixFD.
MatrixFD	transpose () const
	return transposed Matrix.
void	multiply (const MatrixFD& A, const MatrixFD& B, const char TRANSA='N', const char TRANSB='N', const double ALPHA=1.0, const double BETA=0.0)
	multiplication this=alpha*op(A)*op(B)+beta*this, BLAS level 3, DGEMM.
void	multiply (const double value)
	multiply this matrix with a constant value.
void	multiply (const MatrixSD& A, const MatrixFD& B, const double ALPHA=1.0, const double BETA=0.0)
	multiplication this=alpha*A*B+beta*this, BLAS level 2, DSPMV.
void	multiply (const MatrixBD& A, const MatrixFD& B, const double ALPHA=1.0, const double BETA=0.0)
	multiplication this=alpha*A*B+beta*this, BLAS level 2, DSBMV.
void	multiply (const VectorD& x, VectorD& y, const char TRANS='N', const double ALPHA=1.0, const double BETA=0.0) const
	multiplication y=alpha*op(this)*x+beta*y, BLAS level 2.
void	LUdecompose (int* IPIV)
	LU decomposition of a quadratic matrix. More...
void	LUsubstitute (MatrixC<double>& B, int* IPIV)
	solve triangular system by backsubstitution. More...
void	LUsolve (MatrixC<double>& B)
	solve linear equation system.
void	LUinvert ()
	inversion of a general quadratic matrix.
void	CHdecompose ()
	Cholesky CTC decomposition of a symmetric positive definite matrix.
void	CHsubstitute (MatrixC<double>& B)
	solve triangular Cholesky system by backsubstitution.
void	CHsolve (MatrixC<double>& B)
	solve linear equation system with a symmetric positive definite matrix.
void	CHinvert ()
	inversion of a symmetric positive definite matrix.

---

Detailed Description

A user level class for column oriented storage of a full double Matrix.

Author(s):

rokrau

Date:

2000/11/09 18:41:31

MatrixFD is a rectangular double Matrix with full storage of all elements. It inherits from MatrixC<double> and therefore only constructors and assignment operators have to be defined. Then we are ready for fine tuning, i.e. overloading of all algebraic methods used by the operators to make things fast.

---

Constructor & Destructor Documentation

MatrixFD::MatrixFD ( ) [explicit]

default constructor.

MatrixFD::MatrixFD ( const int nr, const int nc = 1, const double value = 0.0 ) [explicit]

standard constructor.

MatrixFD::MatrixFD ( const MatrixC< double >& B )

copy constructor.

MatrixFD::~MatrixFD ( ) [inline]

virtual destructor.

---

Member Function Documentation

MatrixFD & MatrixFD::operator= ( const double value ) [inline]

assignment with a constant value.

VectorD MatrixFD::column ( const int j ) const

create VectorD from column of this Matrix.

VectorD MatrixFD::row ( const int i ) const

create VectorD from row of this Matrix.

MatrixFD MatrixFD::transpose ( ) const

return transposed Matrix. Reimplemented from MatrixC.

void MatrixFD::multiply ( const MatrixFD & A, const MatrixFD & B, const char TRANSA = 'N', const char TRANSB = 'N', const double ALPHA = 1.0, const double BETA = 0.0 )

multiplication this=alpha*op(A)*op(B)+beta*this, BLAS level 3, DGEMM.

void MatrixFD::multiply ( const double value )

multiply this matrix with a constant value.

void MatrixFD::multiply ( const MatrixSD & A, const MatrixFD & B, const double ALPHA = 1.0, const double BETA = 0.0 )

multiplication this=alpha*A*B+beta*this, BLAS level 2, DSPMV.

void MatrixFD::multiply ( const MatrixBD & A, const MatrixFD & B, const double ALPHA = 1.0, const double BETA = 0.0 )

multiplication this=alpha*A*B+beta*this, BLAS level 2, DSBMV.

void MatrixFD::multiply ( const VectorD & x, VectorD & y, const char TRANS = 'N', const double ALPHA = 1.0, const double BETA = 0.0 ) const

multiplication y=alpha*op(this)*x+beta*y, BLAS level 2.

void MatrixFD::LUdecompose ( int * IPIV )

LU decomposition of a quadratic matrix. Parameters: IPIV   is an integer vector of order MIN(nr,nc) that contains row column permutations

void MatrixFD::LUsubstitute ( MatrixC< double >& B, int * IPIV )

solve triangular system by backsubstitution. Parameters: B   the right hand side(s) are given in the Matrix B which on return holds the solution vector(s) IPIV   is an integer vector of order MIN(nr,nc) that contains row column permutations

void MatrixFD::LUsolve ( MatrixC< double >& B )

solve linear equation system.

void MatrixFD::LUinvert ( )

inversion of a general quadratic matrix.

void MatrixFD::CHdecompose ( )

Cholesky CTC decomposition of a symmetric positive definite matrix.

void MatrixFD::CHsubstitute ( MatrixC< double >& B )

solve triangular Cholesky system by backsubstitution.

void MatrixFD::CHsolve ( MatrixC< double >& B )

solve linear equation system with a symmetric positive definite matrix.

void MatrixFD::CHinvert ( )

inversion of a symmetric positive definite matrix.

---

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

• matrixFD.h

---