Syr2k¶
Symmetric rank-2K update: updates
\(C := \alpha (A B^T + B A^T) + \beta C\), or
\(C := \alpha (A^T B + B^T A) + \beta C\), depending upon whether
orientation is set to NORMAL or TRANSPOSE, respectively. Only the
triangle of \(C\) specified by the uplo parameter is modified.
Please see SetLocalTrr2kBlocksize<T>()
and LocalTrr2kBlocksize<T>() in the
Tuning parameters section for information on tuning the distributed
Syr2k().
Note
For the best performance, A, B, and C should all be in [MC,MR] distributions.
C++ API¶
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void
Syr2k(UpperOrLower uplo, Orientation orientation, T alpha, const Matrix<T> &A, const Matrix<T> &B, T beta, Matrix<T> &C, bool conjugate = false)¶
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void
Syr2k(UpperOrLower uplo, Orientation orientation, T alpha, const AbstractDistMatrix<T> &A, const AbstractDistMatrix<T> &B, T beta, AbstractDistMatrix<T> &C, bool conjugate = false)¶
C API¶
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ElError
ElSyr2k_s(ElUpperOrLower uplo, ElOrientation orientation, float alpha, ElConstMatrix_s A, ElConstMatrix_s B, float beta, ElMatrix_s C)¶
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ElError
ElSyr2k_d(ElUpperOrLower uplo, ElOrientation orientation, double alpha, ElConstMatrix_d A, ElConstMatrix_d B, double beta, ElMatrix_d C)¶
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ElError
ElSyr2k_c(ElUpperOrLower uplo, ElOrientation orientation, complex_float alpha, ElConstMatrix_c A, ElConstMatrix_c B, complex_float beta, ElMatrix_c C)¶
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ElError
ElSyr2k_z(ElUpperOrLower uplo, ElOrientation orientation, complex_double alpha, ElConstMatrix_z A, ElConstMatrix_z B, complex_double beta, ElMatrix_z C)¶
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ElError
ElSyr2kDist_s(ElUpperOrLower uplo, ElOrientation orientation, float alpha, ElConstDistMatrix_s A, ElConstDistMatrix_s B, float beta, ElDistMatrix_s C)¶
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ElError
ElSyr2kDist_d(ElUpperOrLower uplo, ElOrientation orientation, double alpha, ElConstDistMatrix_d A, ElConstDistMatrix_d B, double beta, ElDistMatrix_d C)¶
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ElError
ElSyr2kDist_c(ElUpperOrLower uplo, ElOrientation orientation, complex_float alpha, ElConstDistMatrix_c A, ElConstDistMatrix_c B, complex_float beta, ElDistMatrix_c C)¶
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ElError
ElSyr2kDist_z(ElUpperOrLower uplo, ElOrientation orientation, complex_double alpha, ElConstDistMatrix_z A, ElConstDistMatrix_z B, complex_double beta, ElDistMatrix_z C)¶