trusty (3) ssyr.3.gz

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NAME

       SSYR - perform the symmetric rank 1 operation   A := alpha*x*x' + A,

SYNOPSIS

       SUBROUTINE SSYR ( UPLO, N, ALPHA, X, INCX, A, LDA )

           REAL        ALPHA

           INTEGER     INCX, LDA, N

           CHARACTER*1 UPLO

           REAL        A( LDA, * ), X( * )

PURPOSE

       SSYR   performs the symmetric rank 1 operation

       where alpha is a real scalar, x is an n element vector and A is an n by n symmetric matrix.

PARAMETERS

       UPLO   - CHARACTER*1.
              On  entry,  UPLO  specifies  whether  the  upper  or lower triangular part of the array A is to be
              referenced as follows:

              UPLO = 'U' or 'u'   Only the upper triangular part of A is to be referenced.

              UPLO = 'L' or 'l'   Only the lower triangular part of A is to be referenced.

              Unchanged on exit.

       N      - INTEGER.
              On entry, N specifies the order of the matrix A.  N must be at least zero.  Unchanged on exit.

       ALPHA  - REAL            .
              On entry, ALPHA specifies the scalar alpha.  Unchanged on exit.

       X      - REAL             array of dimension at least
              ( 1 + ( n - 1 )*abs( INCX ) ).  Before entry, the incremented array X must contain the  n  element
              vector x.  Unchanged on exit.

       INCX   - INTEGER.
              On entry, INCX specifies the increment for the elements of X. INCX must not be zero.  Unchanged on
              exit.

       A      - REAL             array of DIMENSION ( LDA, n ).
              Before entry with  UPLO = 'U' or 'u', the leading n by n upper triangular part of the array A must
              contain  the  upper triangular part of the symmetric matrix and the strictly lower triangular part
              of A is not referenced. On exit, the upper triangular part of the array A 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 A must contain the lower triangular part of the  symmetric
              matrix  and  the  strictly  upper  triangular  part  of  A  is  not referenced. On exit, the lower
              triangular part of the array A is overwritten by the lower triangular part of the updated matrix.

       LDA    - INTEGER.
              On entry, LDA specifies the first dimension of A as declared in the  calling  (sub)  program.  LDA
              must be at least max( 1, n ).  Unchanged on exit.

              Level 2 Blas routine.

              --  Written on 22-October-1986.  Jack Dongarra, Argonne National Lab.  Jeremy Du Croz, Nag Central
              Office.  Sven Hammarling, Nag Central Office.  Richard Hanson, Sandia National Labs.