BLAS/SRC/ctrsm.f(3)

NAME
BLAS/SRC/ctrsm.f

SYNOPSIS

  Functions/Subroutines
subroutine ctrsm (side, uplo, transa, diag, m, n, alpha, a, lda, b, ldb)
CTRSM

Function/Subroutine Documentation

  subroutine ctrsm (character side, character uplo, character transa, character diag, integer m, integer n, complex alpha, complex, dimension(lda,*) a, integer lda, complex, dimension(ldb,*) b, integer ldb)

CTRSM

Purpose:

     CTRSM  solves one of the matrix equations
        op( A )*X = alpha*B,   or   X*op( A ) = alpha*B,
     where alpha is a scalar, X and B are m by n matrices, A is a unit, or
     non-unit,  upper or lower triangular matrix  and  op( A )  is one  of
        op( A ) = A   or   op( A ) = A**T   or   op( A ) = A**H.
     The matrix X is overwritten on B.

Parameters
    SIDE

              SIDE is CHARACTER*1
               On entry, SIDE specifies whether op( A ) appears on the left
               or right of X as follows:
                  SIDE = 'L' or 'l'   op( A )*X = alpha*B.
                  SIDE = 'R' or 'r'   X*op( A ) = alpha*B.

    UPLO

              UPLO is CHARACTER*1
               On entry, UPLO specifies whether the matrix A is an upper or
               lower triangular matrix as follows:
                  UPLO = 'U' or 'u'   A is an upper triangular matrix.
                  UPLO = 'L' or 'l'   A is a lower triangular matrix.

    TRANSA

              TRANSA is CHARACTER*1
               On entry, TRANSA specifies the form of op( A ) to be used in
               the matrix multiplication as follows:
                  TRANSA = 'N' or 'n'   op( A ) = A.
                  TRANSA = 'T' or 't'   op( A ) = A**T.
                  TRANSA = 'C' or 'c'   op( A ) = A**H.

    DIAG

              DIAG is CHARACTER*1
               On entry, DIAG specifies whether or not A is unit triangular
               as follows:
                  DIAG = 'U' or 'u'   A is assumed to be unit triangular.
                  DIAG = 'N' or 'n'   A is not assumed to be unit
                                      triangular.

    M

              M is INTEGER
               On entry, M specifies the number of rows of B. M must be at
               least zero.

    N

              N is INTEGER
               On entry, N specifies the number of columns of B.  N must be
               at least zero.

    ALPHA

              ALPHA is COMPLEX
               On entry,  ALPHA specifies the scalar  alpha. When  alpha is
               zero then  A is not referenced and  B need not be set before
               entry.

    A

              A is COMPLEX array, dimension ( LDA, k ),
               where k is m when SIDE = 'L' or 'l'
                 and k is n when SIDE = 'R' or 'r'.
               Before entry  with  UPLO = 'U' or 'u',  the  leading  k by k
               upper triangular part of the array  A must contain the upper
               triangular matrix  and the strictly lower triangular part of
               A is not referenced.
               Before entry  with  UPLO = 'L' or 'l',  the  leading  k by k
               lower triangular part of the array  A must contain the lower
               triangular matrix  and the strictly upper triangular part of
               A is not referenced.
               Note that when  DIAG = 'U' or 'u',  the diagonal elements of
               A  are not referenced either,  but are assumed to be  unity.

    LDA

              LDA is INTEGER
               On entry, LDA specifies the first dimension of A as declared
               in the calling (sub) program.  When  SIDE = 'L' or 'l'  then
               LDA  must be at least  max( 1, m ),  when  SIDE = 'R' or 'r'
               then LDA must be at least max( 1, n ).

    B

              B is COMPLEX array, dimension ( LDB, N )
               Before entry,  the leading  m by n part of the array  B must
               contain  the  right-hand  side  matrix  B,  and  on exit  is
               overwritten by the solution matrix  X.

    LDB

              LDB is INTEGER
               On entry, LDB specifies the first dimension of B as declared
               in  the  calling  (sub)  program.   LDB  must  be  at  least
               max( 1, m ).

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

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 179 of file ctrsm.f.

Author

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