org.ejml.alg.dense.decomposition.hessenberg

Interface TridiagonalSimilarDecomposition<MatrixType extends ReshapeMatrix64F>

All Superinterfaces:

DecompositionInterface<MatrixType>

All Known Implementing Classes:

TridiagonalDecompositionBlock, TridiagonalDecompositionBlockHouseholder, TridiagonalDecompositionHouseholder

public interface TridiagonalSimilarDecomposition<MatrixType extends ReshapeMatrix64F>
extends DecompositionInterface<MatrixType>

Finds the decomposition of a matrix in the form of:

A = O*T*O^T

where A is a symmetric m by m matrix, O is an orthogonal matrix, and T is a tridiagonal matrix.

Author:

Peter Abeles

Method Summary

Methods

Modifier and Type	Method and Description
void	getDiagonal(double[] diag, double[] off) Extracts the diagonal and off diagonal elements of the decomposed tridiagonal matrix.
MatrixType	getQ(MatrixType Q, boolean transposed) An orthogonal matrix that has the following property: T = QTAQ
MatrixType	getT(MatrixType T) Extracts the tridiagonal matrix found in the decomposition.

Methods inherited from interface org.ejml.factory.DecompositionInterface

decompose, inputModified

Method Detail

getT

MatrixType getT(MatrixType T)

Extracts the tridiagonal matrix found in the decomposition.

Parameters:

T - If not null then the results will be stored here. Otherwise a new matrix will be created.

Returns:

The extracted T matrix.

getQ

MatrixType getQ(MatrixType Q,
              boolean transposed)

An orthogonal matrix that has the following property: T = Q^TAQ

Parameters:

Q - If not null then the results will be stored here. Otherwise a new matrix will be created.

Returns:

The extracted Q matrix.

getDiagonal

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

Extracts the diagonal and off diagonal elements of the decomposed tridiagonal matrix. Since it is symmetric only one off diagonal array is returned.

Parameters:

diag - Diagonal elements. Modified.

off - off diagonal elements. Modified.