org.ojalgo.matrix.decomposition
Interface Hessenberg<N extends Number>

All Superinterfaces:

MatrixDecomposition<N>

All Known Implementing Classes:

HessenbergDecomposition

public interface Hessenberg<N extends Number>
extends MatrixDecomposition<N>

A general square real matrix [A] can be decomposed by orthogonal similarity transformations into the form [A]=[Q][H][Q]^T where

• [H] (n-by-n) is (upper or lower) hessenberg matrix
• [Q] (m-by-r) is orthogonal
• [Q] (n-by-r) is orthogonal
• r = min(m,n)

[U] is orthogonal and [H] is an upper Hessenberg matrix, meaning that it has zeros below the first subdiagonal. The Hessenberg reduction is the first step in the Schur decomposition for the nonsymmetric eigenvalue problem, but has applications in other areas as well.

Author:

apete

Method Summary

Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition

compute, equals, equals, getInverse, invert, isComputed, isFullSize, isSolvable, reconstruct, reset, solve, solve