STRMV(1)

NAME
LAPACK-3 - performs one of the matrix-vector operations x := A*x, or x := A**T*x,

SYNOPSIS

SUBROUTINE STRMV(UPLO,TRANS,DIAG,N,A,LDA,X,INCX)

INTEGER
    INCX,LDA,N

CHARACTER
    DIAG,TRANS,UPLO

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

PURPOSE
STRMV performs one of the matrix-vector operations
 where x is an n element vector and A is an n by n unit, or non-unit,
 upper or lower triangular matrix.

ARGUMENTS

UPLO   - 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.
     Unchanged on exit.

TRANS  - CHARACTER*1.
     On entry, TRANS specifies the operation to be performed as
     follows:
     TRANS = 'N' or 'n' x := A*x.
     TRANS = 'T' or 't' x := A**T*x.
     TRANS = 'C' or 'c' x := A**T*x.
     Unchanged on exit.

DIAG   - 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.
     Unchanged on exit.

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

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.

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. On exit, X is overwritten with the
     tranformed vector x.

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

FURTHER DETAILS
 Level 2 Blas routine.
 The vector and matrix arguments are not referenced when N = 0, or M = 0
 -- 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.