Interface Hessenberg<N extends Comparable<N>>

All Superinterfaces:

MatrixDecomposition<N>, Structure1D, Structure2D

All Known Implementing Classes:

DenseHessenberg, DenseHessenberg.C128, DenseHessenberg.H256, DenseHessenberg.Q128, DenseHessenberg.R064, DenseHessenberg.R128

public interface Hessenberg<N extends Comparable<N>>
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

Nested Class Summary

Nested Classes

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

Nested classes/interfaces inherited from interface MatrixDecomposition

MatrixDecomposition.Determinant<N>, MatrixDecomposition.EconomySize<N>, MatrixDecomposition.Hermitian<N>, MatrixDecomposition.Ordered<N>, MatrixDecomposition.Pivoting<N>, MatrixDecomposition.RankRevealing<N>, MatrixDecomposition.Solver<N>, MatrixDecomposition.Updatable<N>, MatrixDecomposition.Values<N>

Nested classes/interfaces inherited from interface Structure1D

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

Nested classes/interfaces inherited from interface Structure2D

Structure2D.IntRowColumn, Structure2D.Logical<S,B>, Structure2D.LongRowColumn, Structure2D.ReducibleTo1D<R>, Structure2D.Reshapable, Structure2D.RowColumnKey<R,C>, Structure2D.RowColumnMapper<R,C>

Field Summary

Fields

Modifier and Type	Field	Description
static final Hessenberg.Factory<ComplexNumber>	C128
static final Hessenberg.Factory<Quaternion>	H256
static final Hessenberg.Factory<RationalNumber>	Q128
static final Hessenberg.Factory<Double>	R064
static final Hessenberg.Factory<Quadruple>	R128

Fields inherited from interface MatrixDecomposition

TYPICAL

Method Summary

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

Methods inherited from interface MatrixDecomposition

decompose, isComputed, reset

Methods inherited from interface Structure2D

count, countColumns, countRows, firstInColumn, firstInRow, getColDim, getMaxDim, getMinDim, getRowDim, isEmpty, isFat, isScalar, isSquare, isTall, isVector, limitOfColumn, limitOfRow, size

Field Details

C128

static final Hessenberg.Factory<ComplexNumber> C128

H256

static final Hessenberg.Factory<Quaternion> H256

Q128

static final Hessenberg.Factory<RationalNumber> Q128

R064

static final Hessenberg.Factory<Double> R064

R128

static final Hessenberg.Factory<Quadruple> R128

Method Details

equals

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

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 Comparable<N>>