cblas_?hpr

Developer Reference for Intel® oneAPI Math Kernel Library for C

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ID 766684

Date 11/07/2023

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cblas_?hpr

Performs a rank-1 update of a Hermitian packed matrix.

Syntax

void cblas_chpr (const CBLAS_LAYOUT Layout, const CBLAS_UPLO uplo, const MKL_INT n, const float alpha, const void *x, const MKL_INT incx, void *ap);

void cblas_zhpr (const CBLAS_LAYOUT Layout, const CBLAS_UPLO uplo, const MKL_INT n, const double alpha, const void *x, const MKL_INT incx, void *ap);

Include Files

mkl.h

Description

The ?hpr routines perform a matrix-vector operation defined as

A := alpha*x*conjg(x') + A,

where:

alpha is a real scalar,

x is an n-element vector,

A is an n-by-n Hermitian matrix, supplied in packed form.

Input Parameters

Layout

Specifies whether two-dimensional array storage is row-major (CblasRowMajor) or column-major (CblasColMajor).

uplo

Specifies whether the upper or lower triangular part of the matrix A is supplied in the packed array ap.

If uplo = CblasUpper, the upper triangular part of the matrix A is supplied in the packed array ap .

If uplo = CblasLower, the low triangular part of the matrix A is supplied in the packed array ap .

n

Specifies the order of the matrix A. The value of n must be at least zero.

alpha

Specifies the scalar alpha.

x

Array, size at least (1 + (n - 1)*abs(incx)). Before entry, the incremented array x must contain the n-element vector x.

incx

Specifies the increment for the elements of x. incx must not be zero.

ap

Array, size at least ((n*(n + 1))/2).

For Layout = CblasColMajor:

Before entry with uplo = CblasUpper, the array ap must contain the upper triangular part of the Hermitian matrix packed sequentially, column-by-column, so that ap[0] contains A_{1, 1}, ap[1] and ap[2] contain A_{1, 2} and A_{2, 2} respectively, and so on.

Before entry with uplo = CblasLower, the array ap must contain the lower triangular part of the Hermitian matrix packed sequentially, column-by-column, so that ap[0] contains A_{1, 1}, ap[1] and ap[2] contain A_{2, 1} and A_{3, 1} respectively, and so on.

For Layout = CblasRowMajor:

Before entry with uplo = CblasUpper, the array ap must contain the upper triangular part of the Hermitian matrix packed sequentially, row-by-row, ap[0] contains A_{1, 1}, ap[1] and ap[2] contain A_{1, 2} and A_{1, 3} respectively, and so on.

Before entry with uplo = CblasLower, the array ap must contain the lower triangular part of the Hermitian matrix packed sequentially, row-by-row, so that ap[0] contains A_{1, 1}, ap[1] and ap[2] contain A_{2, 1} and A_{2, 2} respectively, and so on.

The imaginary parts of the diagonal elements need not be set and are assumed to be zero.

Output Parameters

ap

With uplo = CblasUpper, overwritten by the upper triangular part of the updated matrix.

With uplo = CblasLower, overwritten by the lower triangular part of the updated matrix.

If alpha is zero, matrix A is unchanged; otherwise, the imaginary parts of the diagonal elements are set to zero.

Parent topic: BLAS Level 2 Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for C

cblas_?hpr

Syntax

Include Files

Description

Input Parameters

Output Parameters