org.ojalgo.matrix.decomposition

Interface Hessenberg<N extends Number>

All Superinterfaces:

MatrixDecomposition<N>

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

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

• [H] is upper (or lower) hessenberg matrix
• [Q] is orthogonal/unitary

Author:

apete

Nested Class Summary

Nested Classes

Modifier and Type	Interface and Description
static interface	Hessenberg.Factory<N extends Number>

Nested classes/interfaces inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition

MatrixDecomposition.Determinant<N extends Number>, MatrixDecomposition.EconomySize<N extends Number>, MatrixDecomposition.Hermitian<N extends Number>, MatrixDecomposition.Ordered<N extends Number>, MatrixDecomposition.RankRevealing<N extends Number>, MatrixDecomposition.Solver<N extends Number>, MatrixDecomposition.Values<N extends Number>

Field Summary

Fields

Modifier and Type	Field and Description
static Hessenberg.Factory<BigDecimal>	BIG
static Hessenberg.Factory<ComplexNumber>	COMPLEX
static Hessenberg.Factory<Double>	PRIMITIVE
static Hessenberg.Factory<Quaternion>	QUATERNION
static Hessenberg.Factory<RationalNumber>	RATIONAL

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

TYPICAL

Method Summary

Modifier and Type	Method and Description
boolean	compute(Access2D.Collectable<N,? super PhysicalStore<N>> matrix, boolean upper)
static <N extends Number> boolean	equals(MatrixStore<N> matrix, Hessenberg<N> decomposition, NumberContext context)
MatrixStore<N>	getH()
MatrixStore<N>	getQ()
boolean	isUpper()
static <N extends Number> Hessenberg<N>	make(Access2D<N> typical)
default MatrixStore<N>	reconstruct()
static <N extends Number> MatrixStore<N>	reconstruct(Hessenberg<N> decomposition)

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

decompose, isComputed, reset

Field Detail

BIG

static final Hessenberg.Factory<BigDecimal> BIG

COMPLEX

static final Hessenberg.Factory<ComplexNumber> COMPLEX

PRIMITIVE

static final Hessenberg.Factory<Double> PRIMITIVE

QUATERNION

static final Hessenberg.Factory<Quaternion> QUATERNION

RATIONAL

static final Hessenberg.Factory<RationalNumber> RATIONAL

Method Detail

make

static <N extends Number> Hessenberg<N> make(Access2D<N> typical)

equals

static <N extends Number> boolean equals(MatrixStore<N> matrix,
                                         Hessenberg<N> decomposition,
                                         NumberContext context)

reconstruct

static <N extends Number> MatrixStore<N> reconstruct(Hessenberg<N> decomposition)

compute

boolean compute(Access2D.Collectable<N,? super PhysicalStore<N>> matrix,
                boolean upper)

getH

MatrixStore<N> getH()

getQ

MatrixStore<N> getQ()

isUpper

boolean isUpper()

reconstruct

default MatrixStore<N> reconstruct()

Specified by:

reconstruct in interface MatrixDecomposition<N extends Number>