?gerc
Perform a rank-1 update of a complex general matrix.
That is, 
. alpha is a multiplication coefficient, A is a general m*n matrix, x is a vector including m elements, and y is a vector including n elements.
Interface Definition
C interface:
void cblas_cgerc(const enum CBLAS_ORDER order, const BLASINT M, const BLASINT N, const void *alpha, const void *X, const BLASINT incX, const void *Y, const BLASINT incY, void *A, const BLASINT lda);
void cblas_zgerc(const enum CBLAS_ORDER order, const BLASINT M, const BLASINT N, const void *alpha, const void *X, const BLASINT incX, const void *Y, const BLASINT incY, void *A, const BLASINT lda);
Fortran interface:
CALL CGERC(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
CALL ZGERC(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
Parameters
Parameter |
Type |
Description |
Input/Output |
|---|---|---|---|
order |
Enumeration type CBLAS_ORDER |
Whether the matrix is in row- or column-major order. |
Input |
M |
Integer |
Number of rows in matrix A. |
Input |
N |
Integer |
Number of columns in matrix A. |
Input |
alpha |
|
Multiplication coefficient. |
Input |
X |
|
Matrix X. The vector scale is at least 1+(m-1)*abs(incX). |
Input |
incX |
Integer |
Increment for elements in vector X. The value cannot be 0. |
Input |
Y |
|
Matrix Y. The vector scale is at least 1+(n-1)*abs(incY). |
Input |
incY |
Integer |
Increment for elements in vector Y. The value cannot be 0. |
Input |
A |
|
Matrix A (lda, n). |
Output |
lda |
Integer |
Length of the leading dimension in matrix A. If A is a column-store matrix, lda must be greater than or equal to max(1, m). Otherwise, lda must be greater than or equal to max(1, n). |
Input |
Dependency
#include "kblas.h"
Examples
C interface:
1 2 3 4 5 6 7 8 9 10 11 12 13 | int m = 2, n = 2, lda = 2; float alpha[2] = {1.0, 2.0}; int incx = 1, incy = 1; float x[4] = {1.0, 2.0, 3.0, 4.0}; float y[4] = {2.0, 3.0, 4.0, 2.0}; float a[8] = {-1.0, 2.0, 2.0, 2.0, 3.0, 4.0, 5.0, 6.0}; cblas_cgerc(CblasColMajor, m, n, alpha, x, incx, y, incy, a, lda); /** * Output A: * (5.000000, 19.000000), (-1.000000, 26.000000) * (22.000000, 37.000000), (5.000000, 56.000000) */ |
Fortran interface:
INTEGER :: M=2
INTEGER :: N=2
INTEGER :: LDA=2
INTEGER :: INCX=1
INTEGER :: INCY=1
COMPLEX(4) :: ALPHA=(1.0, 2.0)
COMPLEX(4) :: A(2, 2)
DATA A/(-1.0, 2.0), (2.0, 2.0),
$ (3.0, 4.0), (5.0, 6.0)/
COMPLEX(4) :: X(2)
DATA X/(1.0, 2.0), (3.0, 4.0)/
COMPLEX(4) :: Y(2)
DATA Y/(2.0, 3.0), (4.0, 2.0)/
EXTERNAL CGERC
CALL CGERC(M, N, ALPHA, X, INCX, Y, INCY, A, LDA)
* Output A:
* (5.000000, 19.000000), (-1.000000, 26.000000)
* (22.000000, 37.000000), (5.000000, 56.000000)