BLAS/SRC/ztrsv.f(3)

NAME
BLAS/SRC/ztrsv.f

SYNOPSIS

  Functions/Subroutines
subroutine ztrsv (uplo, trans, diag, n, a, lda, x, incx)
ZTRSV

Function/Subroutine Documentation

  subroutine ztrsv (character uplo, character trans, character diag, integer n, complex*16, dimension(lda,*) a, integer lda, complex*16, dimension(*) x, integer incx)

ZTRSV

Purpose:

     ZTRSV  solves one of the systems of equations
        A*x = b,   or   A**T*x = b,   or   A**H*x = b,
     where b and x are n element vectors and A is an n by n unit, or
     non-unit, upper or lower triangular matrix.
     No test for singularity or near-singularity is included in this
     routine. Such tests must be performed before calling this routine.

Parameters
    UPLO

              UPLO is CHARACTER*1
               On entry, UPLO specifies whether the matrix 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.

    TRANS

              TRANS is CHARACTER*1
               On entry, TRANS specifies the equations to be solved as
               follows:
                  TRANS = 'N' or 'n'   A*x = b.
                  TRANS = 'T' or 't'   A**T*x = b.
                  TRANS = 'C' or 'c'   A**H*x = b.

    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.

    N

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

    A

              A is COMPLEX*16 array, 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 matrix and the strictly lower triangular part of
               A is not referenced.
               Before entry with UPLO = 'L' or 'l', the leading n by n
               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. LDA must be at least
               max( 1, n ).

    X

              X is COMPLEX*16 array, dimension at least
               ( 1 + ( n - 1 )*abs( INCX ) ).
               Before entry, the incremented array X must contain the n
               element right-hand side vector b. On exit, X is overwritten
               with the solution vector x.

    INCX

              INCX is INTEGER
               On entry, INCX specifies the increment for the elements of
               X. INCX must not be zero.

Author
    Univ. of Tennessee

    Univ. of California Berkeley

    Univ. of Colorado Denver

    NAG Ltd.

Further Details:

      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.

Definition at line 148 of file ztrsv.f.

Author

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