Package org.ojalgo.matrix.decomposition
Interface QR<N extends Comparable<N>>
- All Superinterfaces:
DeterminantTask<N>
,InverterTask<N>
,InvertibleFactor<N>
,MatrixDecomposition<N>
,MatrixDecomposition.Determinant<N>
,MatrixDecomposition.EconomySize<N>
,MatrixDecomposition.Ordered<N>
,MatrixDecomposition.RankRevealing<N>
,MatrixDecomposition.Solver<N>
,MatrixTask<N>
,Provider2D
,Provider2D.Determinant<N>
,Provider2D.Inverse<Optional<MatrixStore<N>>>
,Provider2D.Rank
,Provider2D.Solution<Optional<MatrixStore<N>>>
,SolverTask<N>
,Structure1D
,Structure2D
- All Known Implementing Classes:
QRDecomposition
,QRDecomposition.C128
,QRDecomposition.H256
,QRDecomposition.Q128
,QRDecomposition.R064
,QRDecomposition.R128
,RawQR
public interface QR<N extends Comparable<N>>
extends MatrixDecomposition<N>, MatrixDecomposition.Solver<N>, MatrixDecomposition.EconomySize<N>, MatrixDecomposition.Determinant<N>, MatrixDecomposition.RankRevealing<N>
QR: [A] = [Q][R] Decomposes [this] into [Q] and [R] where:
- [Q] is an orthogonal matrix (orthonormal columns). It has the same number of rows as [this].
- [R] is a right (upper) triangular matrix. It has the same number of columns as [this].
- [this] = [Q][R]
You create instances of (some subclass of) this class by calling one of the static factory methods:
Q128, C128,
or
invalid reference
#PRIMITIVE
invalid reference
#make(Access2D)
The QR decompostion always exists, even if the matrix does not have full column rank, so the compute method will never fail. The primary use of the QR decomposition is in the least squares solution of overdetermined systems of simultaneous linear equations. This will fail if the matrix does not have full column rank. The rank must be equal to the number of columns.
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Nested Class Summary
Nested ClassesNested classes/interfaces inherited from interface org.ojalgo.matrix.transformation.InvertibleFactor
InvertibleFactor.IdentityFactor<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.matrix.Provider2D
Provider2D.Condition, Provider2D.Determinant<N extends Comparable<N>>, Provider2D.Eigenpairs, Provider2D.Hermitian, Provider2D.Inverse<M>, Provider2D.Rank, Provider2D.Solution<M>, Provider2D.Symmetric, Provider2D.Trace<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 QR.Factory
<ComplexNumber> static final QR.Factory
<Quaternion> static final QR.Factory
<RationalNumber> static final QR.Factory
<Double> static final QR.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, QR<N> decomposition, NumberContext context) getQ()
getR()
default boolean
This is a property of the algorithm/implementation, not the data.default MatrixStore
<N> Methods inherited from interface org.ojalgo.matrix.task.DeterminantTask
calculateDeterminant
Methods inherited from interface org.ojalgo.matrix.task.InverterTask
invert, invert, preallocate, preallocate
Methods inherited from interface org.ojalgo.matrix.transformation.InvertibleFactor
btran, btran
Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition
decompose, isComputed, reset
Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition.Determinant
getDeterminant, toDeterminantProvider
Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition.EconomySize
isFullSize
Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition.RankRevealing
countSignificant, getRank, getRankThreshold, isFullRank
Methods inherited from interface org.ojalgo.matrix.decomposition.MatrixDecomposition.Solver
compute, ftran, ftran, getInverse, getInverse, getSolution, getSolution, invert, isSolvable, solve, toInverseProvider, toSolutionProvider
Methods inherited from interface org.ojalgo.matrix.task.SolverTask
preallocate, preallocate, solve, solve
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, QR<N> decomposition, NumberContext context) -
getQ
MatrixStore<N> getQ() -
getR
MatrixStore<N> getR() -
isOrdered
default boolean isOrdered()Description copied from interface:MatrixDecomposition.Ordered
This is a property of the algorithm/implementation, not the data. Typically relevant forSingularValue
,Eigenvalue
or anyMatrixDecomposition.RankRevealing
decomposition.- Specified by:
isOrdered
in interfaceMatrixDecomposition.Ordered<N extends Comparable<N>>
- Returns:
- true if the rows/columns of the returned matrix factors are guaranteed some specific order; false if there is no such guarantee.
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reconstruct
- Specified by:
reconstruct
in interfaceMatrixDecomposition<N extends Comparable<N>>
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