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

NAME
       SRC/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 =
           <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 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 =
       <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:


            ZLAGTM 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 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.

       Definition at line 143 of file zlagtm.f.

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

LAPACK                          Version 3.12.0                 SRC/zlagtm.f(3)