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, DenseTridiagonal, SimultaneousTridiagonal
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 interfaceTridiagonal.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.LoopCallbackNested 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
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 MatrixDecomposition
TYPICAL -
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 MatrixDecomposition
decompose, isComputed, resetMethods inherited from interface 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:
reconstructin interfaceMatrixDecomposition<N extends Comparable<N>>
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