Performs a rank-2 update of a Hermitian matrix.

Syntax

void cblas_cher2 (const CBLAS_LAYOUT Layout, const CBLAS_UPLO uplo, const MKL_INT n, const void *alpha, const void *x, const MKL_INT incx, const void *y, const MKL_INT incy, void *a, const MKL_INT lda);

void cblas_zher2 (const CBLAS_LAYOUT Layout, const CBLAS_UPLO uplo, const MKL_INT n, const void *alpha, const void *x, const MKL_INT incx, const void *y, const MKL_INT incy, void *a, const MKL_INT lda);

Include Files

  • mkl.h

Description

The ?her2 routines perform a matrix-vector operation defined as

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

where:

alpha is a scalar,

x and y are n-element vectors,

A is an n-by-n Hermitian matrix.

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 array a is used.

If uplo = CblasUpper, then the upper triangular of the array a is used.

If uplo = CblasLower, then the low triangular of the array a is used.

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.

The value of incx must not be zero.

y

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

incy

Specifies the increment for the elements of y.

The value of incy must not be zero.

a

Array, size lda*n.

Before entry with uplo = CblasUpper, the leading n-by-n upper triangular part of the array a must contain the upper triangular part of the Hermitian matrix and the strictly lower triangular part of a is not referenced.

Before entry with uplo = CblasLower, the leading n-by-n lower triangular part of the array a must contain the lower triangular part of the Hermitian matrix and the strictly upper triangular part of a is not referenced.

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

lda

Specifies the leading dimension of a as declared in the calling (sub)program. The value of lda must be at least max(1, n).

Output Parameters

a

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

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

The imaginary parts of the diagonal elements are set to zero.

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