BLAS/SRC/stpsv.f(3)        Library Functions Manual        BLAS/SRC/stpsv.f(3)

NAME
       BLAS/SRC/stpsv.f

SYNOPSIS
   Functions/Subroutines
       subroutine stpsv (uplo, trans, diag, n, ap, x, incx)
           STPSV

Function/Subroutine Documentation
   subroutine stpsv (character uplo, character trans, character diag, integer
       n, real, dimension(*) ap, real, dimension(*) x, integer incx)
       STPSV

       Purpose:


           !>
           !> STPSV  solves one of the systems of equations
           !>
           !>    A*x = b,   or   A**T*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, supplied in packed form.
           !>
           !> 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**T*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.
           !>

           AP

           !>          AP is REAL array, dimension at least
           !>           ( ( n*( n + 1 ) )/2 ).
           !>           Before entry with  UPLO = 'U' or 'u', the array AP must
           !>           contain the upper triangular matrix packed sequentially,
           !>           column by column, so that AP( 1 ) contains a( 1, 1 ),
           !>           AP( 2 ) and AP( 3 ) contain a( 1, 2 ) and a( 2, 2 )
           !>           respectively, and so on.
           !>           Before entry with UPLO = 'L' or 'l', the array AP must
           !>           contain the lower triangular matrix packed sequentially,
           !>           column by column, so that AP( 1 ) contains a( 1, 1 ),
           !>           AP( 2 ) and AP( 3 ) contain a( 2, 1 ) and a( 3, 1 )
           !>           respectively, and so on.
           !>           Note that when  DIAG = 'U' or 'u', the diagonal elements of
           !>           A are not referenced, but are assumed to be unity.
           !>

           X

           !>          X is REAL 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 143 of file stpsv.f.

Author
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LAPACK                          Version 3.12.0             BLAS/SRC/stpsv.f(3)