Package org.ejml.dense.block.decomposition.hessenberg

Class TridiagonalDecompositionHouseholder_DDRB

java.lang.Object

org.ejml.dense.block.decomposition.hessenberg.TridiagonalDecompositionHouseholder_DDRB

All Implemented Interfaces:

org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.DMatrixRBlock>, org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.DMatrixRBlock>, org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F64<org.ejml.data.DMatrixRBlock>

public class TridiagonalDecompositionHouseholder_DDRB
extends java.lang.Object
implements org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F64<org.ejml.data.DMatrixRBlock>

Tridiagonal similar decomposition for block matrices. Orthogonal matrices are computed using householder vectors.

Based off algorithm in section 2 of J. J. Dongarra, D. C. Sorensen, S. J. Hammarling, "Block Reduction of Matrices to Condensed Forms for Eigenvalue Computations" Journal of Computations and Applied Mathematics 27 (1989) 215-227

Computations of Householder reflectors has been modified from what is presented in that paper to how it is performed in "Fundamentals of Matrix Computations" 2nd ed. by David S. Watkins.

Field Summary

Fields

Modifier and Type	Field	Description
protected org.ejml.data.DMatrixRBlock	A
protected double[]	gammas
protected org.ejml.data.DMatrixRBlock	tmp
protected org.ejml.data.DMatrixRBlock	V
protected org.ejml.data.DMatrixRMaj	zerosM

Constructor Summary

Constructors

Constructor	Description
TridiagonalDecompositionHouseholder_DDRB()

Method Summary

Modifier and Type	Method	Description
boolean	decompose(org.ejml.data.DMatrixRBlock orig)
void	getDiagonal(double[] diag, double[] off)
org.ejml.data.DMatrixRBlock	getQ(org.ejml.data.DMatrixRBlock Q, boolean transposed)
org.ejml.data.DMatrixRBlock	getT(org.ejml.data.DMatrixRBlock T)
boolean	inputModified()
static void	multPlusTransA(int blockLength, org.ejml.data.DSubmatrixD1 A, org.ejml.data.DSubmatrixD1 B, org.ejml.data.DSubmatrixD1 C)	C = C + A^T*B

Methods inherited from class java.lang.Object

clone, equals, finalize, getClass, hashCode, notify, notifyAll, toString, wait, wait, wait

Field Detail

A

protected org.ejml.data.DMatrixRBlock A

V

protected org.ejml.data.DMatrixRBlock V

tmp

protected org.ejml.data.DMatrixRBlock tmp

gammas

protected double[] gammas

zerosM

protected org.ejml.data.DMatrixRMaj zerosM

Constructor Detail

TridiagonalDecompositionHouseholder_DDRB

public TridiagonalDecompositionHouseholder_DDRB()

Method Detail

getT

public org.ejml.data.DMatrixRBlock getT(org.ejml.data.DMatrixRBlock T)

Specified by:

getT in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.DMatrixRBlock>

getQ

public org.ejml.data.DMatrixRBlock getQ(org.ejml.data.DMatrixRBlock Q,
                                        boolean transposed)

Specified by:

getQ in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.DMatrixRBlock>

getDiagonal

public void getDiagonal(double[] diag,
                        double[] off)

Specified by:

getDiagonal in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F64<org.ejml.data.DMatrixRBlock>

decompose

public boolean decompose(org.ejml.data.DMatrixRBlock orig)

Specified by:

decompose in interface org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.DMatrixRBlock>

multPlusTransA

public static void multPlusTransA(int blockLength,
                                  org.ejml.data.DSubmatrixD1 A,
                                  org.ejml.data.DSubmatrixD1 B,
                                  org.ejml.data.DSubmatrixD1 C)

C = C + A^T*B

Parameters:

blockLength -

A - row block vector

B - row block vector

C -

inputModified

public boolean inputModified()

Specified by:

inputModified in interface org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.DMatrixRBlock>