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# Manual Reference Pages  -  STRMVT (l)

### NAME

STRMVT - perform the matrix-vector operations x := T’ *y, and w := T *z,

Synopsis
Purpose
Arguments

### SYNOPSIS

 SUBROUTINE STRMVT( UPLO, N, T, LDT, X, INCX, Y, INCY, W, INCW, Z, INCZ ) CHARACTER UPLO INTEGER INCW, INCX, INCY, INCZ, LDT, N REAL T( LDT, * ), W( * ), X( * ), Y( * ), Z( * )

### PURPOSE

STRMVT performs the matrix-vector operations x := 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 - REAL 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 referenced. Before entry with UPLO = ’L’ or ’l’, the leading n by n lower triangular part of the array T must contain the lower triangular 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 - REAL 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 - REAL 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 - REAL 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 - REAL 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. Level 2 Blas routine. Test the input parameters. Quick return if possible. End of STRMVT.
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 ScaLAPACK version 1.7 STRMVT (l) 13 August 2001

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