Package org.ojalgo.matrix.decomposition
Interface Bidiagonal<N extends java.lang.Comparable<N>>
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- 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 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)
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Nested Class Summary
Nested Classes Modifier and Type Interface Description static interface
Bidiagonal.Factory<N extends java.lang.Comparable<N>>
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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.Values<N extends java.lang.Comparable<N>>
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Nested classes/interfaces inherited from interface org.ojalgo.structure.Structure1D
Structure1D.BasicMapper<T>, Structure1D.IndexMapper<T>, Structure1D.IntIndex, Structure1D.LongIndex, Structure1D.LoopCallback
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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>
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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
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Fields inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
TYPICAL
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Method Summary
All Methods Static Methods Instance Methods Abstract Methods Default Methods Modifier and Type Method Description static <N extends java.lang.Comparable<N>>
booleanequals(MatrixStore<N> matrix, Bidiagonal<N> decomposition, NumberContext context)
MatrixStore<N>
getD()
MatrixStore<N>
getLQ()
MatrixStore<N>
getRQ()
boolean
isUpper()
default MatrixStore<N>
reconstruct()
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Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
decompose, isComputed, reset
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Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition.EconomySize
isFullSize
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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 Detail
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C128
static final Bidiagonal.Factory<ComplexNumber> C128
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H256
static final Bidiagonal.Factory<Quaternion> H256
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Q128
static final Bidiagonal.Factory<RationalNumber> Q128
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R064
static final Bidiagonal.Factory<java.lang.Double> R064
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R128
static final Bidiagonal.Factory<Quadruple> R128
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Method Detail
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equals
static <N extends java.lang.Comparable<N>> boolean equals(MatrixStore<N> matrix, Bidiagonal<N> decomposition, NumberContext context)
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getD
MatrixStore<N> getD()
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getLQ
MatrixStore<N> getLQ()
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getRQ
MatrixStore<N> getRQ()
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isUpper
boolean isUpper()
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reconstruct
default MatrixStore<N> reconstruct()
- Specified by:
reconstruct
in interfaceMatrixDecomposition<N extends java.lang.Comparable<N>>
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