org.ejml.alg.block.decomposition.hessenberg

Class TridiagonalDecompositionHouseholder_B64

java.lang.Object

org.ejml.alg.block.decomposition.hessenberg.TridiagonalDecompositionHouseholder_B64

All Implemented Interfaces:

org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.BlockMatrix64F>, org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.BlockMatrix64F>

public class TridiagonalDecompositionHouseholder_B64
extends java.lang.Object
implements org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.BlockMatrix64F>

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 and Description
protected org.ejml.data.BlockMatrix64F	A
protected double[]	gammas
protected org.ejml.data.BlockMatrix64F	tmp
protected org.ejml.data.BlockMatrix64F	V
protected org.ejml.data.DenseMatrix64F	zerosM

Constructor Summary

Constructors

Constructor and Description
TridiagonalDecompositionHouseholder_B64()

Method Summary

Modifier and Type	Method and Description
boolean	decompose(org.ejml.data.BlockMatrix64F orig)
void	getDiagonal(double[] diag, double[] off)
org.ejml.data.BlockMatrix64F	getQ(org.ejml.data.BlockMatrix64F Q, boolean transposed)
org.ejml.data.BlockMatrix64F	getT(org.ejml.data.BlockMatrix64F T)
boolean	inputModified()
static void	multPlusTransA(int blockLength, org.ejml.data.D1Submatrix64F A, org.ejml.data.D1Submatrix64F B, org.ejml.data.D1Submatrix64F 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.BlockMatrix64F A

V

protected org.ejml.data.BlockMatrix64F V

tmp

protected org.ejml.data.BlockMatrix64F tmp

gammas

protected double[] gammas

zerosM

protected org.ejml.data.DenseMatrix64F zerosM

Constructor Detail

TridiagonalDecompositionHouseholder_B64

public TridiagonalDecompositionHouseholder_B64()

Method Detail

getT

public org.ejml.data.BlockMatrix64F getT(org.ejml.data.BlockMatrix64F T)

Specified by:

getT in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.BlockMatrix64F>

getQ

public org.ejml.data.BlockMatrix64F getQ(org.ejml.data.BlockMatrix64F Q,
                                         boolean transposed)

Specified by:

getQ in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.BlockMatrix64F>

getDiagonal

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

Specified by:

getDiagonal in interface org.ejml.interfaces.decomposition.TridiagonalSimilarDecomposition<org.ejml.data.BlockMatrix64F>

decompose

public boolean decompose(org.ejml.data.BlockMatrix64F orig)

Specified by:

decompose in interface org.ejml.interfaces.decomposition.DecompositionInterface<org.ejml.data.BlockMatrix64F>

multPlusTransA

public static void multPlusTransA(int blockLength,
                                  org.ejml.data.D1Submatrix64F A,
                                  org.ejml.data.D1Submatrix64F B,
                                  org.ejml.data.D1Submatrix64F 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.BlockMatrix64F>