Utilities¶
Householder reflectors¶
TODO: Describe major difference from LAPACK’s conventions (i.e., we do not treat the identity matrix as a Householder transform since it requires the \(u\) in \(H=I-2uu'\) to have norm zero rather than one).
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F
LeftReflector(DistMatrix<F> &chi, DistMatrix<F> &x)¶
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F
reflector::Col(DistMatrix<F> &chi, DistMatrix<F> &x)¶
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F
RightReflector(DistMatrix<F> &chi, DistMatrix<F> &x)¶
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F
reflector::Row(DistMatrix<F> &chi, DistMatrix<F> &x)¶
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void
ApplyPackedReflectors(LeftOrRight side, UpperOrLower uplo, VerticalOrHorizontal dir, ForwardOrBackward order, Conjugation conjugation, int offset, const Matrix<F> &H, const Matrix<F> &t, Matrix<F> &A)¶
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void
ApplyPackedReflectors(LeftOrRight side, UpperOrLower uplo, VerticalOrHorizontal dir, ForwardOrBackward order, Conjugation conjugation, int offset, const DistMatrix<F> &H, const DistMatrix<F, MD, STAR> &t, DistMatrix<F> &A)¶
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void
ApplyPackedReflectors(LeftOrRight side, UpperOrLower uplo, VerticalOrHorizontal dir, ForwardOrBackward order, Conjugation conjugation, int offset, const DistMatrix<F> &H, const DistMatrix<F, STAR, STAR> &t, DistMatrix<F> &A)¶
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void
ExpandPackedReflectors(UpperOrLower uplo, VerticalOrHorizontal dir, Conjugation conjugation, int offset, Matrix<F> &H, const Matrix<F> &t)¶
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void
ExpandPackedReflectors(UpperOrLower uplo, VerticalOrHorizontal dir, Conjugation conjugation, int offset, DistMatrix<F> &H, const DistMatrix<F, MD, STAR> &t)¶
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void
ExpandPackedReflectors(UpperOrLower uplo, VerticalOrHorizontal dir, Conjugation conjugation, int offset, DistMatrix<F> &H, const DistMatrix<F, STAR, STAR> &t)¶
Sorting¶
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void
Sort(DistMatrix<Real, U, V> &X, SortType sort = ASCENDING)¶
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std::vector<ValueInt<Real>>
TaggedSort(const DistMatrix<Real, U, V> &X, SortType sort = ASCENDING)¶
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ValueInt<Real>
Median(const DistMatrix<Real, U, V> &x)¶