Package org.ojalgo.matrix.decomposition
Interface Tridiagonal<N extends Comparable<N>>
- All Superinterfaces:
MatrixDecomposition<N>
,Structure1D
,Structure2D
- All Known Implementing Classes:
DeferredTridiagonal
,DeferredTridiagonal.C128
,DeferredTridiagonal.H256
,DeferredTridiagonal.Q128
,DeferredTridiagonal.R064
,DeferredTridiagonal.R128
,SimultaneousTridiagonal
,TridiagonalDecomposition
Tridiagonal: [A] = [Q][D][Q]H Any square symmetric (hermitian) matrix [A] can be factorized by
similarity transformations into the form, [A]=[Q][D][Q]-1 where [Q] is an orthogonal (unitary)
matrix and [D] is a real symmetric tridiagonal matrix. Note that [D] can/should be made real even when [A]
has complex elements. Since [Q] is orthogonal (unitary) [Q]-1 = [Q]H and when it is
real [Q]H = [Q]T.
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Nested Class Summary
Nested ClassesModifier and TypeInterfaceDescriptionstatic interface
Tridiagonal.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 Tridiagonal.Factory
<ComplexNumber> static final Tridiagonal.Factory
<Quaternion> static final Tridiagonal.Factory
<RationalNumber> static final Tridiagonal.Factory
<Double> static final Tridiagonal.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, Tridiagonal<N> decomposition, NumberContext context) getD()
getQ()
default MatrixStore
<N> Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
decompose, isComputed, reset
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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R064
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R128
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H256
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Q128
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Method Details
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equals
static <N extends Comparable<N>> boolean equals(MatrixStore<N> matrix, Tridiagonal<N> decomposition, NumberContext context) -
getD
MatrixStore<N> getD() -
getQ
MatrixStore<N> getQ() -
reconstruct
- Specified by:
reconstruct
in interfaceMatrixDecomposition<N extends Comparable<N>>
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