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cher2k.f

Section: LAPACK (3)
Updated: Thu Jun 23 2016
Index 

NAME

cher2k.f -  

SYNOPSIS


 

Functions/Subroutines


subroutine CHER2K (UPLO, TRANS, N, K, ALPHA, A, LDA, B, LDB, BETA, C, LDC)
CHER2K  

Function Documentation

 

subroutine CHER2K (CHARACTERUPLO, CHARACTERTRANS, INTEGERN, INTEGERK, COMPLEXALPHA, COMPLEX,dimension(lda,*)A, INTEGERLDA, COMPLEX,dimension(ldb,*)B, INTEGERLDB, REALBETA, COMPLEX,dimension(ldc,*)C, INTEGERLDC)

CHER2K Purpose:

 CHER2K  performs one of the hermitian rank 2k operations    C := alpha*A*B**H + conjg( alpha )*B*A**H + beta*C, or    C := alpha*A**H*B + conjg( alpha )*B**H*A + beta*C, where  alpha and beta  are scalars with  beta  real,  C is an  n by n hermitian 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**H          +                                         conjg( alpha )*B*A**H +                                         beta*C.              TRANS = 'C' or 'c'    C := alpha*A**H*B          +                                         conjg( alpha )*B**H*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 = 'C' or 'c',  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 REAL           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  hermitian 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  hermitian 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.           Note that the imaginary parts of the diagonal elements need           not be set,  they are assumed to be zero,  and on exit they           are set to zero. 


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.  -- Modified 8-Nov-93 to set C(J,J) to REAL( C(J,J) ) when BETA = 1.     Ed Anderson, Cray Research Inc. 


 

Definition at line 198 of file cher2k.f. 

Author

Generated automatically by Doxygen for LAPACK from the source code.


 

Index

NAME
SYNOPSIS
Functions/Subroutines
Function Documentation
subroutine CHER2K (CHARACTERUPLO, CHARACTERTRANS, INTEGERN, INTEGERK, COMPLEXALPHA, COMPLEX,dimension(lda,*)A, INTEGERLDA, COMPLEX,dimension(ldb,*)B, INTEGERLDB, REALBETA, COMPLEX,dimension(ldc,*)C, INTEGERLDC)
Author

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