DiagonalScaleTrapezoid

Performs either \(A := \mbox{op}(D) A\) or \(A := A \mbox{op}(D)\), where \(A\) is trapezoidal (upper or lower with the boundary diagonal of given offset), \(op(D)\) equals \(D=D^T\), or \(D^H=\bar D\), where \(D = \mbox{diag}(d)\) and \(d\) is a column vector.

C++ API

void DiagonalScaleTrapezoid(LeftOrRight side, UpperOrLower uplo, Orientation orientation, const Matrix<TDiag> &d, Matrix<T> &A, Int offset = 0)

void DiagonalScaleTrapezoid(LeftOrRight side, UpperOrLower uplo, Orientation orientation, const AbstractDistMatrix<TDiag> &d, AbstractDistMatrix<T> &A, Int offset = 0)

void DiagonalScaleTrapezoid(LeftOrRight side, UpperOrLower uplo, Orientation orientation, const Matrix<TDiag> &d, SparseMatrix<T> &A, Int offset = 0)

void DiagonalScaleTrapezoid(LeftOrRight side, UpperOrLower uplo, Orientation orientation, const DistMultiVec<TDiag> &d, DistSparseMatrix<T> &A, Int offset = 0)

C API

ElError ElDiagonalScaleTrapezoid_i(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_i d, ElMatrix_i X, ElInt offset)

ElError ElDiagonalScaleTrapezoid_s(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_s d, ElMatrix_s X, ElInt offset)

ElError ElDiagonalScaleTrapezoid_d(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_d d, ElMatrix_d X, ElInt offset)

ElError ElDiagonalScaleTrapezoid_c(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstMatrix_c d, ElMatrix_c X, ElInt offset)

ElError ElDiagonalScaleTrapezoid_z(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstMatrix_z d, ElMatrix_z X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDist_i(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMatrix_i d, ElDistMatrix_i X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDist_s(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMatrix_s d, ElDistMatrix_s X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDist_d(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMatrix_d d, ElDistMatrix_d X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDist_c(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstDistMatrix_c d, ElDistMatrix_c X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDist_z(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstDistMatrix_z d, ElDistMatrix_z X, ElInt offset)

ElError ElDiagonalScaleTrapezoidSparse_i(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_i d, ElSparseMatrix_i X, ElInt offset)

ElError ElDiagonalScaleTrapezoidSparse_s(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_s d, ElSparseMatrix_s X, ElInt offset)

ElError ElDiagonalScaleTrapezoidSparse_d(ElLeftOrRight side, ElUpperOrLower uplo, ElConstMatrix_d d, ElSparseMatrix_d X, ElInt offset)

ElError ElDiagonalScaleTrapezoidSparse_c(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstMatrix_c d, ElSparseMatrix_c X, ElInt offset)

ElError ElDiagonalScaleTrapezoidSparse_z(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstMatrix_z d, ElSparseMatrix_z X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDistSparse_i(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMultiVec_i d, ElDistSparseMatrix_i X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDistSparse_s(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMultiVec_s d, ElDistSparseMatrix_s X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDistSparse_d(ElLeftOrRight side, ElUpperOrLower uplo, ElConstDistMultiVec_d d, ElDistSparseMatrix_d X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDistSparse_c(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstDistMultiVec_c d, ElDistSparseMatrix_c X, ElInt offset)

ElError ElDiagonalScaleTrapezoidDistSparse_z(ElLeftOrRight side, ElUpperOrLower uplo, ElOrientation orientation, ElConstDistMultiVec_z d, ElDistSparseMatrix_z X, ElInt offset)

Python API

DiagonalScaleTrapezoid(side, uplo, d, X, offset=0)