Package org.ojalgo.matrix.decomposition
Interface Bidiagonal<N extends Comparable<N>>
- All Superinterfaces:
MatrixDecomposition<N>
,MatrixDecomposition.EconomySize<N>
,Structure1D
,Structure2D
- All Known Implementing Classes:
BidiagonalDecomposition
,BidiagonalDecomposition.C128
,BidiagonalDecomposition.H256
,BidiagonalDecomposition.Q128
,BidiagonalDecomposition.R064
,BidiagonalDecomposition.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)
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Nested Class Summary
Nested ClassesModifier and TypeInterfaceDescriptionstatic interface
Bidiagonal.Factory<N extends Comparable<N>>
Nested classes/interfaces inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
MatrixDecomposition.Determinant<N extends Comparable<N>>, MatrixDecomposition.EconomySize<N extends Comparable<N>>, MatrixDecomposition.Hermitian<N extends Comparable<N>>, MatrixDecomposition.Ordered<N extends Comparable<N>>, MatrixDecomposition.Pivoting<N extends Comparable<N>>, MatrixDecomposition.RankRevealing<N extends Comparable<N>>, MatrixDecomposition.Solver<N extends Comparable<N>>, MatrixDecomposition.Values<N extends 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
FieldsModifier and TypeFieldDescriptionstatic final Bidiagonal.Factory
<ComplexNumber> static final Bidiagonal.Factory
<Quaternion> static final Bidiagonal.Factory
<RationalNumber> static final Bidiagonal.Factory
<Double> static final Bidiagonal.Factory
<Quadruple> Fields inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
TYPICAL
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Method Summary
Modifier and TypeMethodDescriptionstatic <N extends Comparable<N>>
booleanequals
(MatrixStore<N> matrix, Bidiagonal<N> decomposition, NumberContext context) getD()
getLQ()
getRQ()
boolean
isUpper()
default MatrixStore
<N> 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
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Field Details
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C128
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H256
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Q128
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R064
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R128
-
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Method Details
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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
- Specified by:
reconstruct
in interfaceMatrixDecomposition<N extends Comparable<N>>
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