!>
!> CLAPTM multiplies an N by NRHS matrix X by a Hermitian tridiagonal
!> matrix A and stores the result in a matrix B.  The operation has the
!> form
!>
!>    B := alpha * A * X + beta * B
!>
!> where alpha may be either 1. or -1. and beta may be 0., 1., or -1.
!> 

UPLO

!>          UPLO is CHARACTER
!>          Specifies whether the superdiagonal or the subdiagonal of the
!>          tridiagonal matrix A is stored.
!>          = 'U':  Upper, E is the superdiagonal of A.
!>          = 'L':  Lower, E is the subdiagonal of A.
!> 

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 1. or -1.; otherwise,
!>          it is assumed to be 0.
!> 

D

!>          D is REAL array, dimension (N)
!>          The n diagonal elements of the tridiagonal matrix A.
!> 

E

!>          E is COMPLEX array, dimension (N-1)
!>          The (n-1) subdiagonal or superdiagonal elements of A.
!> 

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).
!> 

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