org.ojalgo.matrix.decomposition

Interface Bidiagonal<N extends Number>

All Superinterfaces:

MatrixDecomposition<N>, MatrixDecomposition.EconomySize<N>, Structure1D, Structure2D

public interface Bidiagonal<N extends Number>
extends MatrixDecomposition<N>, MatrixDecomposition.EconomySize<N>

A general matrix [A] can be factorized by similarity transformations into the form [A]=[Q1][D][Q2] ^-1 where:

• [A] (m-by-n) is any, real or complex, matrix
• [D] (r-by-r) or (m-by-n) is, upper or lower, bidiagonal
• [Q1] (m-by-r) or (m-by-m) is orthogonal
• [Q2] (n-by-r) or (n-by-n) is orthogonal
• r = min(m,n)

Author:

apete

Nested Class Summary

Nested Classes

Modifier and Type	Interface and Description
static interface	Bidiagonal.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 Bidiagonal.Factory<ComplexNumber>	COMPLEX
static Bidiagonal.Factory<Double>	PRIMITIVE
static Bidiagonal.Factory<Quaternion>	QUATERNION
static Bidiagonal.Factory<RationalNumber>	RATIONAL

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

TYPICAL

Method Summary

Modifier and Type	Method and Description
static <N extends Number> boolean	equals(MatrixStore<N> matrix, Bidiagonal<N> decomposition, NumberContext context)
MatrixStore<N>	getD()
MatrixStore<N>	getQ1()
MatrixStore<N>	getQ2()
boolean	isUpper()
static <N extends Number> Bidiagonal<N>	make(Access2D<N> typical)
default MatrixStore<N>	reconstruct()
static <N extends Number> MatrixStore<N>	reconstruct(Bidiagonal<N> decomposition) Deprecated. v48 Use reconstruct() instead

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

isFullSize

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 Bidiagonal.Factory<ComplexNumber> COMPLEX

PRIMITIVE

static final Bidiagonal.Factory<Double> PRIMITIVE

QUATERNION

static final Bidiagonal.Factory<Quaternion> QUATERNION

RATIONAL

static final Bidiagonal.Factory<RationalNumber> RATIONAL

Method Detail

equals

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

make

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

reconstruct

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

Deprecated. v48 Use reconstruct() instead

getD

MatrixStore<N> getD()

getQ1

MatrixStore<N> getQ1()

getQ2

MatrixStore<N> getQ2()

isUpper

boolean isUpper()

reconstruct

default MatrixStore<N> reconstruct()

Specified by:

reconstruct in interface MatrixDecomposition<N extends Number>