?gerc

Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

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ID 766686

Date 12/16/2022

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?gerc

Performs a rank-1 update (conjugated) of a general matrix.

Syntax

call cgerc(m, n, alpha, x, incx, y, incy, a, lda)

call zgerc(m, n, alpha, x, incx, y, incy, a, lda)

call gerc(a, x, y [,alpha])

Include Files

mkl.fi, blas.f90

Description

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

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

where:

alpha is a scalar,

x is an m-element vector,

y is an n-element vector,

A is an m-by-n matrix.

Input Parameters

m

INTEGER. Specifies the number of rows of the matrix A.

The value of m must be at least zero.

n

INTEGER. Specifies the number of columns of the matrix A.

The value of n must be at least zero.

alpha

COMPLEX for cgerc

DOUBLE COMPLEX for zgerc

Specifies the scalar alpha.

x

COMPLEX for cgerc

DOUBLE COMPLEX for zgerc

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

incx

INTEGER. Specifies the increment for the elements of x.

The value of incx must not be zero.

y

COMPLEX for cgerc

DOUBLE COMPLEX for zgerc

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

incy

INTEGER. Specifies the increment for the elements of y.

The value of incy must not be zero.

a

COMPLEX for cgerc

DOUBLE COMPLEX for zgerc

Array, size (lda, n).

Before entry, the leading m-by-n part of the array a must contain the matrix of coefficients.

lda

INTEGER. Specifies the leading dimension of a as declared in the calling (sub)program.

The value of lda must be at least max(1, m).

Output Parameters

a: Overwritten by the updated matrix.

BLAS 95 Interface Notes

Routines in Fortran 95 interface have fewer arguments in the calling sequence than their FORTRAN 77 counterparts. For general conventions applied to skip redundant or reconstructible arguments, see BLAS 95 Interface Conventions.

Specific details for the routine gerc interface are the following:

a: Holds the matrix A of size (m,n).
x: Holds the vector with the number of elements m.
y: Holds the vector with the number of elements n.
alpha: The default value is 1.

Parent topic: BLAS Level 2 Routines

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Developer Reference for Intel® oneAPI Math Kernel Library for Fortran

?gerc