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MAN page from openSUSE Leap 42 blas-man-3.4.2-3.6.1.noarch.rpm

csyr2k.f

Section: LAPACK (3)
Updated: Wed Oct 17 2018
Index 

NAME

csyr2k.f -  

SYNOPSIS


 

Functions/Subroutines


subroutine CSYR2K (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CSYR2K  

Function/Subroutine Documentation

 

subroutine CSYR2K (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)

CSYR2K Purpose:

 CSYR2K  performs one of the symmetric rank 2k operations    C := alpha*A*B**T + alpha*B*A**T + beta*C, or    C := alpha*A**T*B + alpha*B**T*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.


 

Parameters:

UPLO

          UPLO is 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.


TRANS

          TRANS is CHARACTER*1           On entry,  TRANS  specifies the operation to be performed as           follows:              TRANS = 'N' or 'n'    C := alpha*A*B**T + alpha*B*A**T +                                         beta*C.              TRANS = 'T' or 't'    C := alpha*A**T*B + alpha*B**T*A +                                         beta*C.


N

          N is INTEGER           On entry,  N specifies the order of the matrix C.  N must be           at least zero.


K

          K is 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.


ALPHA

          ALPHA is COMPLEX           On entry, ALPHA specifies the scalar alpha.


A

          A is COMPLEX 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.


LDA

          LDA is 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 ).


B

          B is COMPLEX 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.


LDB

          LDB is 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 ).


BETA

          BETA is COMPLEX           On entry, BETA specifies the scalar beta.


C

          C is COMPLEX 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

          LDC is 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 ).


 

Author:

Univ. of Tennessee

Univ. of California Berkeley

Univ. of Colorado Denver

NAG Ltd.

Date:

November 2011

Further Details:

  Level 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.


 

Definition at line 189 of file csyr2k.f. 

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function/Subroutine Documentation
subroutine CSYR2K (characterUPLO, characterTRANS, integerN, integerK, complexALPHA, complex, dimension(lda,*)A, integerLDA, complex, dimension(ldb,*)B, integerLDB, complexBETA, complex, dimension(ldc,*)C, integerLDC)
Author

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