Interface Bidiagonal<N extends 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 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 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 Bidiagonal.Factory<ComplexNumber>	C128
static final Bidiagonal.Factory<Quaternion>	H256
static final Bidiagonal.Factory<RationalNumber>	Q128
static final Bidiagonal.Factory<Double>	R064
static final Bidiagonal.Factory<Quadruple>	R128

Fields inherited from interface MatrixDecomposition

TYPICAL

Method Summary

Modifier and Type	Method	Description
static <N extends 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 MatrixDecomposition

decompose, isComputed, reset

Methods inherited from interface MatrixDecomposition.EconomySize

isFullSize

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 Bidiagonal.Factory<ComplexNumber> C128

H256

static final Bidiagonal.Factory<Quaternion> H256

Q128

static final Bidiagonal.Factory<RationalNumber> Q128

R064

static final Bidiagonal.Factory<Double> R064

R128

static final Bidiagonal.Factory<Quadruple> R128

Method Details

equals

static <N extends 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 Comparable<N>>