p?hemv

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 7/13/2023

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p?hemv

Computes a distributed matrix-vector product using a Hermitian matrix.

Syntax

void pchemv (const char *uplo , const MKL_INT *n , const MKL_Complex8 *alpha , const MKL_Complex8 *a , const MKL_INT *ia , const MKL_INT *ja , const MKL_INT *desca , const MKL_Complex8 *x , const MKL_INT *ix , const MKL_INT *jx , const MKL_INT *descx , const MKL_INT *incx , const MKL_Complex8 *beta , MKL_Complex8 *y , const MKL_INT *iy , const MKL_INT *jy , const MKL_INT *descy , const MKL_INT *incy );

void pzhemv (const char *uplo , const MKL_INT *n , const MKL_Complex16 *alpha , const MKL_Complex16 *a , const MKL_INT *ia , const MKL_INT *ja , const MKL_INT *desca , const MKL_Complex16 *x , const MKL_INT *ix , const MKL_INT *jx , const MKL_INT *descx , const MKL_INT *incx , const MKL_Complex16 *beta , MKL_Complex16 *y , const MKL_INT *iy , const MKL_INT *jy , const MKL_INT *descy , const MKL_INT *incy );

Include Files

mkl_pblas.h

Description

The p?hemv routines perform a distributed matrix-vector operation defined as

sub(y) := alpha*sub(A)*sub(x) + beta*sub(y),

where:

alpha and beta are scalars,

sub(A) is a n-by-n Hermitian distributed matrix, sub(A)=A(ia:ia+n-1, ja:ja+n-1) ,

sub(x) and sub(y) are distributed vectors.

sub(x) denotes X(ix, jx:jx+n-1) if incx = m_x, and X(ix: ix+n-1, jx) if incx = 1,

sub(y) denotes Y(iy, jy:jy+n-1) if incy = m_y, and Y(iy: iy+n-1, jy) if incy = 1.

Input Parameters

uplo

(global) Specifies whether the upper or lower triangular part of the Hermitian distributed matrix sub(A) is used:

If uplo = 'U' or 'u', then the upper triangular part of the sub(A) is used.

If uplo = 'L' or 'l', then the low triangular part of the sub(A) is used.

n

(global) Specifies the order of the distributed matrix sub(A), n≥ 0.

alpha

(global)

Specifies the scalar alpha.

a

(local)

Array, size (lld_a, LOCq(ja+n-1)). This array contains the local pieces of the distributed matrix sub(A).

Before entry when uplo = 'U' or 'u', the n-by-n upper triangular part of the distributed matrix sub(A) must contain the upper triangular part of the Hermitian distributed matrix and the strictly lower triangular part of sub(A) is not referenced, and when uplo = 'L' or 'l', the n-by-n lower triangular part of the distributed matrix sub(A) must contain the lower triangular part of the Hermitian distributed matrix and the strictly upper triangular part of sub(A) is not referenced.

ia, ja

(global) The row and column indices in the distributed matrix A indicating the first row and the first column of the submatrix sub(A), respectively.

desca

(global and local) array of dimension 9. The array descriptor of the distributed matrix A.

x

(local)

Array, size at least (jx-1)*m_x + ix+(n-1)*abs(incx)).

This array contains the entries of the distributed vector sub(x).

ix, jx

(global) The row and column indices in the distributed matrix X indicating the first row and the first column of the submatrix sub(x), respectively.

descx

(global and local) array of dimension 9. The array descriptor of the distributed matrix X.

incx

(global) Specifies the increment for the elements of sub(x). Only two values are supported, namely 1 and m_x. incx must not be zero.

beta

(global)

Specifies the scalar beta. When beta is set to zero, then sub(y) need not be set on input.

y

(local)

Array, size at least (jy-1)*m_y + iy+(n-1)*abs(incy)).

This array contains the entries of the distributed vector sub(y).

iy, jy

(global) The row and column indices in the distributed matrix Y indicating the first row and the first column of the submatrix sub(y), respectively.

descy

(global and local) array of dimension 9. The array descriptor of the distributed matrix Y.

incy

(global) Specifies the increment for the elements of sub(y). Only two values are supported, namely 1 and m_y. incy must not be zero.

Output Parameters

y: Overwritten by the updated distributed vector sub(y).

Parent topic: PBLAS Level 2 Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for C

p?hemv

Syntax

Include Files

Description

Input Parameters

Output Parameters