Level 2¶
ApplyColumnPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplyColumnPivots(DistMatrix<F, U1, V1> &A, const DistMatrix<Int, U2, V2> &p)¶
ApplyInverseColumnPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplyInverseColumnPivots(DistMatrix<F, U1, V1> &A, const DistMatrix<Int, U2, V2> &p)¶
ApplyRowPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplyRowPivots(DistMatrix<F, U1, V1> &A, const DistMatrix<Int, U2, V2> &p)¶
ApplyInverseRowPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplyInverseRowPivots(DistMatrix<F, U1, V1> &A, const DistMatrix<Int, U2, V2> &p)¶
ApplySymmetricPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplySymmetricPivots(UpperOrLower uplo, Matrix<F> &A, const Matrix<int> &p, bool conjugate = false)¶
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void
ApplySymmetricPivots(UpperOrLower uplo, DistMatrix<F> &A, const DistMatrix<Int, VC, STAR> &p, bool conjugate = false)¶
ApplyInverseSymmetricPivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ApplyInverseSymmetricPivots(UpperOrLower uplo, Matrix<F> &A, const Matrix<int> &p, bool conjugate = false)¶
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void
ApplyInverseSymmetricPivots(UpperOrLower uplo, DistMatrix<F> &A, const DistMatrix<Int, VC, STAR> &p, bool conjugate = false)¶
ComposePivots¶
Note
This is not a standard BLAS routine, but it is BLAS-like.
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void
ComposePivots(const DistMatrix<Int, VC, STAR> &p, std::vector<int> &image, std::vector<int> &preimage)¶
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void
ComposePivots(const DistMatrix<Int, STAR, STAR> &p, std::vector<int> &image, std::vector<int> &preimage)¶
Gemv¶
General matrix-vector multiply: \(y := \alpha \mbox{op}(A) x + \beta y\), where \(\mbox{op}(A)\) can be \(A\), \(A^T\), or \(A^H\). Whether or not \(x\) and \(y\) are stored as row vectors, they will be interpreted as column vectors.
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void
Gemv(Orientation orientation, T alpha, const Matrix<T> &A, const Matrix<T> &x, T beta, Matrix<T> &y)¶
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void
Gemv(Orientation orientation, T alpha, const DistMatrix<T> &A, const DistMatrix<T> &x, T beta, DistMatrix<T> &y)¶
Ger¶
General rank-one update: \(A := \alpha x y^H + A\). \(x\) and \(y\) are free to be stored as either row or column vectors, but they will be interpreted as column vectors.
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void
Ger(T alpha, const DistMatrix<T> &x, const DistMatrix<T> &y, DistMatrix<T> &A)¶
Gerc¶
This is the same as Ger(), but the name is provided because it exists
in the BLAS.
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void
Gerc(T alpha, const DistMatrix<T> &x, const DistMatrix<T> &y, DistMatrix<T> &A)¶
Geru¶
General rank-one update (unconjugated): \(A := \alpha x y^T + A\). \(x\) and \(y\) are free to be stored as either row or column vectors, but they will be interpreted as column vectors.
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void
Geru(T alpha, const DistMatrix<T> &x, const DistMatrix<T> &y, DistMatrix<T> &A)¶
Hemv¶
Hermitian matrix-vector multiply: \(y := \alpha A x + \beta y\), where \(A\) is Hermitian.
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void
Hemv(UpperOrLower uplo, T alpha, const Matrix<T> &A, const Matrix<T> &x, T beta, Matrix<T> &y)¶
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void
Hemv(UpperOrLower uplo, T alpha, const DistMatrix<T> &A, const DistMatrix<T> &x, T beta, DistMatrix<T> &y)¶
Please see SetLocalSymvBlocksize<T>() and
LocalSymvBlocksize<T>() in the Tuning parameters section for
information on tuning the distributed Hemv().
Her¶
Hermitian rank-one update: implicitly performs \(A := \alpha x x^H + A\), where only the triangle of \(A\) specified by uplo is updated.
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void
Her(UpperOrLower uplo, T alpha, const Matrix<T> &x, Matrix<T> &A)¶
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void
Her(UpperOrLower uplo, T alpha, const DistMatrix<T> &x, DistMatrix<T> &A)¶
Her2¶
Hermitian rank-two update: implicitly performs \(A := \alpha ( x y^H + y x^H ) + A\), where only the triangle of \(A\) specified by uplo is updated.
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void
Her2(UpperOrLower uplo, T alpha, const Matrix<T> &x, const Matrix<T> &y, Matrix<T> &A)¶
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void
Her2(UpperOrLower uplo, T alpha, const DistMatrix<T> &x, const DistMatrix<T> &y, DistMatrix<T> &A)¶
Symv¶
Symmetric matrix-vector multiply: \(y := \alpha A x + \beta y\), where \(A\) is symmetric.
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void
Symv(UpperOrLower uplo, T alpha, const Matrix<T> &A, const Matrix<T> &x, T beta, Matrix<T> &y, bool conjugate = false)¶
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void
Symv(UpperOrLower uplo, T alpha, const DistMatrix<T> &A, const DistMatrix<T> &x, T beta, DistMatrix<T> &y, bool conjugate = false)¶
Please see SetLocalSymvBlocksize<T>() and
LocalSymvBlocksize<T>() in the Tuning parameters section for
information on tuning the distributed Symv().
Syr¶
Symmetric rank-one update: implicitly performs \(A := \alpha x x^T + A\), where only the triangle of \(A\) specified by uplo is updated.
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void
Syr(UpperOrLower uplo, T alpha, const Matrix<T> &x, Matrix<T> &A, bool conjugate = false)¶
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void
Syr(UpperOrLower uplo, T alpha, const DistMatrix<T> &x, DistMatrix<T> &A, bool conjugate = false)¶
Syr2¶
Symmetric rank-two update: implicitly performs \(A := \alpha ( x y^T + y x^T ) + A\), where only the triangle of \(A\) specified by uplo is updated.
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void
Syr2(UpperOrLower uplo, T alpha, const Matrix<T> &x, const Matrix<T> &y, Matrix<T> &A, bool conjugate = false)¶
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void
Syr2(UpperOrLower uplo, T alpha, const DistMatrix<T> &x, const DistMatrix<T> &y, DistMatrix<T> &A, bool conjugate = false)¶
Trsv¶
Triangular solve with a vector: computes
\(x := \mbox{op}(A)^{-1} x\), where \(\mbox{op}(A)\) is either
\(A\), \(A^T\), or \(A^H\), and \(A\) is treated an either a
lower or upper triangular matrix, depending upon uplo. \(A\) can also be
treated as implicitly having a unit-diagonal if diag is set to UNIT.
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void
Trsv(UpperOrLower uplo, Orientation orientation, UnitOrNonUnit diag, const Matrix<F> &A, Matrix<F> &x)¶
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void
Trsv(UpperOrLower uplo, Orientation orientation, UnitOrNonUnit diag, const DistMatrix<F> &A, DistMatrix<F> &x)¶