org.ojalgo.matrix.decomposition

Interface Hessenberg<N extends Number>

All Superinterfaces:

MatrixDecomposition<N>, Structure1D, Structure2D

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.Pivoting<N extends Number>, MatrixDecomposition.RankRevealing<N extends Number>, MatrixDecomposition.Solver<N extends Number>, MatrixDecomposition.Values<N extends Number>

Nested classes/interfaces inherited from interface org.ojalgo.structure.Structure2D

Structure2D.IntRowColumn, Structure2D.Logical<S extends Structure2D,B extends Structure2D.Logical<S,?>>, Structure2D.LongRowColumn, Structure2D.ReducibleTo1D<R extends Structure1D>, Structure2D.RowColumnCallback, Structure2D.RowColumnKey<R,C>, Structure2D.RowColumnMapper<R,C>

Nested classes/interfaces inherited from interface org.ojalgo.structure.Structure1D

Structure1D.BasicMapper<T>, Structure1D.IndexCallback, Structure1D.IndexMapper<T>, Structure1D.IntIndex, Structure1D.LongIndex, Structure1D.LoopCallback

Field Summary

Fields

Modifier and Type	Field and Description
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) Deprecated. v48 Use reconstruct() instead

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

decompose, isComputed, reset

Methods inherited from interface org.ojalgo.structure.Structure2D

column, column, column, column, column, count, count, countColumns, countRows, index, index, isEmpty, isFat, isScalar, isSquare, isTall, isVector, loopAll, loopColumn, loopColumn, loopDiagonal, loopMatching, loopRow, loopRow, mapperOf, row, row, row, row, row

Methods inherited from interface org.ojalgo.structure.Structure1D

index, loopAll, loopMatching, loopRange, mapper, size

Field Detail

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

equals

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

make

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

reconstruct

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

Deprecated. v48 Use reconstruct() instead

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>