Module ojalgo

Package org.ojalgo.matrix.decomposition

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

All Superinterfaces:

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

All Known Implementing Classes:

DenseBidiagonal, DenseBidiagonal.C128, DenseBidiagonal.H256, DenseBidiagonal.Q128, DenseBidiagonal.R064, DenseBidiagonal.R128

public interface Bidiagonal<N extends java.lang.Comparable<N>>
extends MatrixDecomposition<N>, MatrixDecomposition.EconomySize<N>

A general matrix [A] can be factorized by similarity transformations into the form [A]=[LQ][D][RQ] ^-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
• [LQ] (m-by-r) or (m-by-m) is orthogonal
• [RQ] (n-by-r) or (n-by-n) is orthogonal
• r = min(m,n)

Nested Class Summary

Nested Classes

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

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

TYPICAL

Method Summary

Modifier and Type	Method	Description
static <N extends java.lang.Comparable<N>> boolean	equals(MatrixStore<N> matrix, Bidiagonal<N> decomposition, NumberContext context)
MatrixStore<N>	getD()
MatrixStore<N>	getLQ()
MatrixStore<N>	getRQ()
boolean	isUpper()
default MatrixStore<N>	reconstruct()

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

decompose, isComputed, reset

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

isFullSize

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 Bidiagonal.Factory<ComplexNumber> C128

H256

static final Bidiagonal.Factory<Quaternion> H256

Q128

static final Bidiagonal.Factory<RationalNumber> Q128

R064

static final Bidiagonal.Factory<java.lang.Double> R064

R128

static final Bidiagonal.Factory<Quadruple> R128

Method Detail

equals

static <N extends java.lang.Comparable<N>> boolean equals(MatrixStore<N> matrix,
                                                          Bidiagonal<N> decomposition,
                                                          NumberContext context)

getD

MatrixStore<N> getD()

getLQ

MatrixStore<N> getLQ()

getRQ

MatrixStore<N> getRQ()

isUpper

boolean isUpper()

reconstruct

default MatrixStore<N> reconstruct()

Specified by:

reconstruct in interface MatrixDecomposition<N extends java.lang.Comparable<N>>