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

Class TridiagonalDecompositionHouseholder_FDRB

java.lang.Object

org.ejml.dense.block.decomposition.hessenberg.TridiagonalDecompositionHouseholder_FDRB

All Implemented Interfaces:

org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.FMatrixRBlock>, org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.FMatrixRBlock>, org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F32<org.ejml.data.FMatrixRBlock>

public class TridiagonalDecompositionHouseholder_FDRB
extends java.lang.Object
implements org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F32<org.ejml.data.FMatrixRBlock>

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.FMatrixRBlock	A
protected float[]	gammas
protected org.ejml.data.FMatrixRBlock	tmp
protected org.ejml.data.FMatrixRBlock	V
protected org.ejml.data.FMatrixRMaj	zerosM

Constructor Summary

Constructors

Constructor	Description
TridiagonalDecompositionHouseholder_FDRB()

Method Summary

Modifier and Type	Method	Description
boolean	decompose(org.ejml.data.FMatrixRBlock orig)
void	getDiagonal(float[] diag, float[] off)
org.ejml.data.FMatrixRBlock	getQ(org.ejml.data.FMatrixRBlock Q, boolean transposed)
org.ejml.data.FMatrixRBlock	getT(org.ejml.data.FMatrixRBlock T)
boolean	inputModified()
static void	multPlusTransA(int blockLength, org.ejml.data.FSubmatrixD1 A, org.ejml.data.FSubmatrixD1 B, org.ejml.data.FSubmatrixD1 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.FMatrixRBlock A

V

protected org.ejml.data.FMatrixRBlock V

tmp

protected org.ejml.data.FMatrixRBlock tmp

gammas

protected float[] gammas

zerosM

protected org.ejml.data.FMatrixRMaj zerosM

Constructor Detail

TridiagonalDecompositionHouseholder_FDRB

public TridiagonalDecompositionHouseholder_FDRB()

Method Detail

getT

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

Specified by:

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

getQ

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

Specified by:

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

getDiagonal

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

Specified by:

getDiagonal in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition_F32<org.ejml.data.FMatrixRBlock>

decompose

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

Specified by:

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

multPlusTransA

public static void multPlusTransA(int blockLength,
                                  org.ejml.data.FSubmatrixD1 A,
                                  org.ejml.data.FSubmatrixD1 B,
                                  org.ejml.data.FSubmatrixD1 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.FMatrixRBlock>