NAME

       zlagtm.f -

SYNOPSIS

   Functions/Subroutines
       subroutine zlagtm (TRANS, N, NRHS, ALPHA, DL, D, DU, X, LDX, BETA, B, LDB)
           ZLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a
           tridiagonal matrix, B and C are rectangular matrices, and α and β are scalars, which
           may be 0, 1, or -1.

Function/Subroutine Documentation

   subroutine zlagtm (character TRANS, integer N, integer NRHS, double precision ALPHA,
       complex*16, dimension( * ) DL, complex*16, dimension( * ) D, complex*16, dimension( * )
       DU, complex*16, dimension( ldx, * ) X, integer LDX, double precision BETA, complex*16,
       dimension( ldb, * ) B, integer LDB)
       ZLAGTM performs a matrix-matrix product of the form C = αAB+βC, where A is a tridiagonal
       matrix, B and C are rectangular matrices, and α and β are scalars, which may be 0, 1, or
       -1.

       Purpose:

            ZLAGTM performs a matrix-vector 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 DOUBLE PRECISION
                     The scalar alpha.  ALPHA must be 0., 1., or -1.; otherwise,
                     it is assumed to be 0.

           DL

                     DL is COMPLEX*16 array, dimension (N-1)
                     The (n-1) sub-diagonal elements of T.

           D

                     D is COMPLEX*16 array, dimension (N)
                     The diagonal elements of T.

           DU

                     DU is COMPLEX*16 array, dimension (N-1)
                     The (n-1) super-diagonal elements of T.

           X

                     X is COMPLEX*16 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 DOUBLE PRECISION
                     The scalar beta.  BETA must be 0., 1., or -1.; otherwise,
                     it is assumed to be 1.

           B

                     B is COMPLEX*16 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.

       Date:
           September 2012

Author

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