org.ejml.alg.dense.decomposition.hessenberg
Interface TridiagonalSimilarDecomposition<MatrixType extends Matrix64F>

All Superinterfaces:

DecompositionInterface<MatrixType>

All Known Implementing Classes:

TridiagonalDecompositionBlock, TridiagonalDecompositionBlockHouseholder, TridiagonalDecompositionHouseholder

public interface TridiagonalSimilarDecomposition<MatrixType extends Matrix64F>
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

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.alg.dense.decomposition.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.