CTRMVT(3)     ScaLAPACK routine of NEC Numeric Library Collection    CTRMVT(3)



NAME
       CTRMVT - perform the matrix-vector operations  x := conjg( T' ) *y, and
       w := T *z,

SYNOPSIS
       SUBROUTINE CTRMVT( UPLO, N, T, LDT, X, INCX, Y, INCY, W, INCW, Z,  INCZ
                          )

           CHARACTER      UPLO

           INTEGER        INCW, INCX, INCY, INCZ, LDT, N

           COMPLEX        T( LDT, * ), W( * ), X( * ), Y( * ), Z( * )

PURPOSE
       CTRMVT performs the matrix-vector operations x := conjg( T' ) *y, and w
       := T *z, where x is an n element vector and  T is an n by n
       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.

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

       T      - COMPLEX array of DIMENSION ( LDT, n ).
              Before entry with  UPLO = 'U' or 'u', the leading n by  n  upper
              triangular part of the array T must contain the upper triangular
              matrix and the strictly lower triangular part of T is not refer-
              enced.   Before entry with UPLO = 'L' or 'l', the leading n by n
              lower triangular part of the array T must contain the lower tri-
              angular  matrix  and  the strictly upper triangular part of T is
              not referenced.

       LDT    - 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      - COMPLEX array of dimension at least
              ( 1 + ( n - 1 )*abs( INCX ) ).  On exit, X = T' * y

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

       Y      - COMPLEX array of dimension at least
              (  1  +  ( n - 1 )*abs( INCY ) ).  Before entry, the incremented
              array Y must contain the n element vector y.  Unchanged on exit.

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

       W      - COMPLEX array of dimension at least
              ( 1 + ( n - 1 )*abs( INCW ) ).  On exit, W = T * z

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

       Z      - COMPLEX array of dimension at least
              (  1  +  ( n - 1 )*abs( INCZ ) ).  Before entry, the incremented
              array Z must contain the n element vector z.  Unchanged on exit.

       INCY   - INTEGER.
              On  entrz,  INCY  specifies the increment for the elements of Y.
              INCY must not be zero.  Unchanged on exit.



ScaLAPACK routine               31 October 2017                      CTRMVT(3)