Module ojalgo

Package org.ojalgo.matrix.decomposition

Interface Hessenberg<N extends java.lang.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 java.lang.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 java.lang.Comparable<N>>

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

MatrixDecomposition.Determinant<N extends java.lang.Comparable<N>>, MatrixDecomposition.EconomySize<N extends java.lang.Comparable<N>>, MatrixDecomposition.Hermitian<N extends java.lang.Comparable<N>>, MatrixDecomposition.Ordered<N extends java.lang.Comparable<N>>, MatrixDecomposition.Pivoting<N extends java.lang.Comparable<N>>, MatrixDecomposition.RankRevealing<N extends java.lang.Comparable<N>>, MatrixDecomposition.Solver<N extends java.lang.Comparable<N>>, MatrixDecomposition.Updatable<N extends java.lang.Comparable<N>>, MatrixDecomposition.Values<N extends java.lang.Comparable<N>>

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

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

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

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

Field Summary

Fields

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

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

TYPICAL

Method Summary

Modifier and Type	Method	Description
boolean	compute(Access2D.Collectable<N,? super PhysicalStore<N>> matrix, boolean upper)
static <N extends java.lang.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 org.ojalgo.matrix.decomposition.MatrixDecomposition

decompose, isComputed, reset

Methods inherited from interface org.ojalgo.structure.Structure2D

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

Field Detail

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<java.lang.Double> R064

R128

static final Hessenberg.Factory<Quadruple> R128

Method Detail

equals

static <N extends java.lang.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 java.lang.Comparable<N>>