SRC/clagtm.f(3)            Library Functions Manual            SRC/clagtm.f(3)

NAME
       SRC/clagtm.f

SYNOPSIS
   Functions/Subroutines
       subroutine clagtm (trans, n, nrhs, alpha, dl, d, du, x, ldx, beta, b,
           ldb)
           CLAGTM performs a matrix-matrix product of the form C =
           <alpha>AB+<beta>C, where A is a tridiagonal matrix, B and C are
           rectangular matrices, and <alpha> and <beta> are scalars, which may
           be 0, 1, or -1.

Function/Subroutine Documentation
   subroutine clagtm (character trans, integer n, integer nrhs, real alpha,
       complex, dimension( * ) dl, complex, dimension( * ) d, complex,
       dimension( * ) du, complex, dimension( ldx, * ) x, integer ldx, real
       beta, complex, dimension( ldb, * ) b, integer ldb)
       CLAGTM performs a matrix-matrix product of the form C =
       <alpha>AB+<beta>C, where A is a tridiagonal matrix, B and C are
       rectangular matrices, and <alpha> and <beta> are scalars, which may be
       0, 1, or -1.

       Purpose:


            CLAGTM performs a matrix-matrix product of the form

               B := alpha * A * X + beta * B

            where A is a tridiagonal matrix of order N, B and X are N by NRHS
            matrices, and alpha and beta are real scalars, each of which may be
            0., 1., or -1.

       Parameters
           TRANS

                     TRANS is CHARACTER*1
                     Specifies the operation applied to A.
                     = 'N':  No transpose, B := alpha * A * X + beta * B
                     = 'T':  Transpose,    B := alpha * A**T * X + beta * B
                     = 'C':  Conjugate transpose, B := alpha * A**H * X + beta * B

           N

                     N is INTEGER
                     The order of the matrix A.  N >= 0.

           NRHS

                     NRHS is INTEGER
                     The number of right hand sides, i.e., the number of columns
                     of the matrices X and B.

           ALPHA

                     ALPHA is REAL
                     The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise,
                     it is assumed to be 0.

           DL

                     DL is COMPLEX array, dimension (N-1)
                     The (n-1) sub-diagonal elements of T.

           D

                     D is COMPLEX array, dimension (N)
                     The diagonal elements of T.

           DU

                     DU is COMPLEX array, dimension (N-1)
                     The (n-1) super-diagonal elements of T.

           X

                     X is COMPLEX array, dimension (LDX,NRHS)
                     The N by NRHS matrix X.

           LDX

                     LDX is INTEGER
                     The leading dimension of the array X.  LDX >= max(N,1).

           BETA

                     BETA is REAL
                     The scalar beta.  BETA must be 0., 1., or -1.; otherwise,
                     it is assumed to be 1.

           B

                     B is COMPLEX array, dimension (LDB,NRHS)
                     On entry, the N by NRHS matrix B.
                     On exit, B is overwritten by the matrix expression
                     B := alpha * A * X + beta * B.

           LDB

                     LDB is INTEGER
                     The leading dimension of the array B.  LDB >= max(N,1).

       Author
           Univ. of Tennessee

           Univ. of California Berkeley

           Univ. of Colorado Denver

           NAG Ltd.

       Definition at line 143 of file clagtm.f.

Author
       Generated automatically by Doxygen for LAPACK from the source code.

LAPACK                          Version 3.12.0                 SRC/clagtm.f(3)