org.ojalgo.matrix.decomposition

Interface Bidiagonal<N extends Number>

All Superinterfaces:

MatrixDecomposition<N>, MatrixDecomposition.EconomySize<N>

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

Field Summary

Fields

Modifier and Type	Field and Description
static Bidiagonal.Factory<BigDecimal>	BIG
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)

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

isFullSize, setFullSize

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

decompose, isComputed, reset

Field Detail

BIG

static final Bidiagonal.Factory<BigDecimal> BIG

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

make

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

equals

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

reconstruct

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

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>