ssyrk (3p)

Name

ssyrk - perform one of the symmetric rank k operations C := alpha*A*A' + beta*C or C := alpha*A'*A + beta*C

Synopsis

SUBROUTINE SSYRK(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C, LDC)

CHARACTER*1 UPLO, TRANSA
INTEGER N, K, LDA, LDC
REAL ALPHA, BETA
REAL A(LDA,*), C(LDC,*)

SUBROUTINE SSYRK_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C, LDC)

CHARACTER*1 UPLO, TRANSA
INTEGER*8 N, K, LDA, LDC
REAL ALPHA, BETA
REAL A(LDA,*), C(LDC,*)




F95 INTERFACE
SUBROUTINE SYRK(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C,
LDC)

CHARACTER(LEN=1) :: UPLO, TRANSA
INTEGER :: N, K, LDA, LDC
REAL :: ALPHA, BETA
REAL, DIMENSION(:,:) :: A, C

SUBROUTINE SYRK_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA,
C, LDC)

CHARACTER(LEN=1) :: UPLO, TRANSA
INTEGER(8) :: N, K, LDA, LDC
REAL :: ALPHA, BETA
REAL, DIMENSION(:,:) :: A, C




C INTERFACE
#include <sunperf.h>

void ssyrk(char uplo, char transa, int n, int k, float alpha, float *a,
int lda, float beta, float *c, int ldc);

void  ssyrk_64(char  uplo,  char  transa,  long n, long k, float alpha,
float *a, long lda, float beta, float *c, long ldc);

Description

Oracle Solaris Studio Performance Library                            ssyrk(3P)



NAME
       ssyrk  -  perform  one  of  the  symmetric  rank  k  operations    C :=
       alpha*A*A' + beta*C or C := alpha*A'*A + beta*C


SYNOPSIS
       SUBROUTINE SSYRK(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C, LDC)

       CHARACTER*1 UPLO, TRANSA
       INTEGER N, K, LDA, LDC
       REAL ALPHA, BETA
       REAL A(LDA,*), C(LDC,*)

       SUBROUTINE SSYRK_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C, LDC)

       CHARACTER*1 UPLO, TRANSA
       INTEGER*8 N, K, LDA, LDC
       REAL ALPHA, BETA
       REAL A(LDA,*), C(LDC,*)




   F95 INTERFACE
       SUBROUTINE SYRK(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA, C,
              LDC)

       CHARACTER(LEN=1) :: UPLO, TRANSA
       INTEGER :: N, K, LDA, LDC
       REAL :: ALPHA, BETA
       REAL, DIMENSION(:,:) :: A, C

       SUBROUTINE SYRK_64(UPLO, TRANSA, N, K, ALPHA, A, LDA, BETA,
              C, LDC)

       CHARACTER(LEN=1) :: UPLO, TRANSA
       INTEGER(8) :: N, K, LDA, LDC
       REAL :: ALPHA, BETA
       REAL, DIMENSION(:,:) :: A, C




   C INTERFACE
       #include <sunperf.h>

       void ssyrk(char uplo, char transa, int n, int k, float alpha, float *a,
                 int lda, float beta, float *c, int ldc);

       void  ssyrk_64(char  uplo,  char  transa,  long n, long k, float alpha,
                 float *a, long lda, float beta, float *c, long ldc);



PURPOSE
       ssyrk performs one of the symmetric rank k operations C := alpha*A*A' +
       beta*C  or C := alpha*A'*A + beta*C where  alpha and beta  are scalars,
       C is an  n by n  symmetric matrix and  A  is an  n by k  matrix in  the
       first case and a  k by n  matrix in the second case.


ARGUMENTS
       UPLO (input)
                 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.


       TRANSA (input)
                 On entry,  TRANSA  specifies the operation to be performed as
                 follows:

                 TRANSA = 'N' or 'n'   C := alpha*A*A' + beta*C.

                 TRANSA = 'T' or 't'   C := alpha*A'*A + beta*C.

                 TRANSA = 'C' or 'c'   C := alpha*A'*A + beta*C.

                 Unchanged on exit.


       N (input)
                 On entry,  N specifies the order of the matrix C.  N must  be
                 at least zero.  Unchanged on exit.


       K (input)
                 On entry with  TRANSA = 'N' or 'n',  K  specifies  the number
                 of  columns   of  the   matrix   A,   and  on   entry    with
                 TRANSA = 'T' or 't' or 'C' or 'c',  K  specifies  the  number
                 of rows  of  the  matrix   A.   K  must  be  at  least  zero.
                 Unchanged on exit.


       ALPHA (input)
                 On  entry,  ALPHA  specifies  the scalar alpha.  Unchanged on
                 exit.


       A (input)
                 REAL             array of DIMENSION ( LDA, ka ), where ka  is
                 k   when  TRANSA = 'N' or 'n',  and is  n  otherwise.  Before
                 entry with  TRANSA = '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 (input)
                 On  entry, LDA specifies the first dimension of A as declared
                 in  the  calling  (sub)  program.   When  TRANSA = 'N' or 'n'
                 then   LDA must be at least  max( 1, n ), otherwise  LDA must
                 be at least  max( 1, k ).  Unchanged on exit.


       BETA (input)
                 On entry, BETA specifies the scalar beta.  Unchanged on exit.


       C (input/output)
                 REAL             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 (input)
                 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.




                                  7 Nov 2015                         ssyrk(3P)