ZSYR2K - Online Linux Manual Page

Section : 1
Updated : November 2008
Source : BLAS routine
Note : BLAS routine
NAMEZSYR2K - performs one of the symmetric rank 2k operations C := alpha*A*B' + alpha*B*A' + beta*C,
SYNOPSISSUBROUTINE ZSYR2K(UPLO,TRANS,N,K,ALPHA,A,LDA,B,LDB,BETA,C,LDC)    DOUBLE COMPLEX ALPHA,BETA  INTEGER K,LDA,LDB,LDC,N  CHARACTER TRANS,UPLO  DOUBLE COMPLEX A(LDA,*),B(LDB,*),C(LDC,*)
PURPOSEZSYR2K performs one of the symmetric rank 2k operations or

   C := alpha*A'*B + alpha*B'*A + beta*C,
where alpha and beta are scalars, C is an n by n symmetric matrix and A and B are n by k matrices in the first case and k by n matrices in the second case.
ARGUMENTSUPLO - CHARACTER*1.  On entry, UPLO specifies whether the upper or lower triangular part of the array C is to be referenced as follows: UPLO = 'U' or 'u' Only the upper triangular part of C is to be referenced. UPLO = 'L' or 'l' Only the lower triangular part of C is to be referenced. Unchanged on exit. TRANS - CHARACTER*1.  On entry, TRANS specifies the operation to be performed as follows: TRANS = 'N' or 'n' C := alpha*A*B' + alpha*B*A' + beta*C. TRANS = 'T' or 't' C := alpha*A'*B + alpha*B'*A + beta*C. Unchanged on exit. N - INTEGER.  On entry, N specifies the order of the matrix C. N must be at least zero. Unchanged on exit. K - INTEGER.  On entry with TRANS = 'N' or 'n', K specifies the number of columns of the matrices A and B, and on entry with TRANS = 'T' or 't', K specifies the number of rows of the matrices A and B. K must be at least zero. Unchanged on exit. ALPHA - COMPLEX*16 .  On entry, ALPHA specifies the scalar alpha. Unchanged on exit. A - COMPLEX*16 array of DIMENSION ( LDA, ka ), where ka is  k when TRANS = 'N' or 'n', and is n otherwise. Before entry with TRANS = 'N' or 'n', the leading n by k part of the array A must contain the matrix A, otherwise the leading k by n part of the array A must contain the matrix A. Unchanged on exit. LDA - INTEGER.  On entry, LDA specifies the first dimension of A as declared in the calling (sub) program. When TRANS = 'N' or 'n' then LDA must be at least max( 1, n ), otherwise LDA must be at least max( 1, k ). Unchanged on exit. B - COMPLEX*16 array of DIMENSION ( LDB, kb ), where kb is  k when TRANS = 'N' or 'n', and is n otherwise. Before entry with TRANS = 'N' or 'n', the leading n by k part of the array B must contain the matrix B, otherwise the leading k by n part of the array B must contain the matrix B. Unchanged on exit. LDB - INTEGER.  On entry, LDB specifies the first dimension of B as declared in the calling (sub) program. When TRANS = 'N' or 'n' then LDB must be at least max( 1, n ), otherwise LDB must be at least max( 1, k ). Unchanged on exit. BETA - COMPLEX*16 .  On entry, BETA specifies the scalar beta. Unchanged on exit. C - COMPLEX*16 array of DIMENSION ( LDC, n ).  Before entry with UPLO = 'U' or 'u', the leading n by n upper triangular part of the array C must contain the upper triangular part of the symmetric matrix and the strictly lower triangular part of C is not referenced. On exit, the upper triangular part of the array C is overwritten by the upper triangular part of the updated matrix. Before entry with UPLO = 'L' or 'l', the leading n by n lower triangular part of the array C must contain the lower triangular part of the symmetric matrix and the strictly upper triangular part of C is not referenced. On exit, the lower triangular part of the array C is overwritten by the lower triangular part of the updated matrix. LDC - INTEGER.  On entry, LDC specifies the first dimension of C as declared in the calling (sub) program. LDC must be at least max( 1, n ). Unchanged on exit.
FURTHER DETAILSLevel 3 Blas routine.
-- Written on 8-February-1989.

   Jack Dongarra, Argonne National Laboratory.

   Iain Duff, AERE Harwell.

   Jeremy Du Croz, Numerical Algorithms Group Ltd.

   Sven Hammarling, Numerical Algorithms Group Ltd.
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