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NAME
     zgbtrs - solve a system of linear equations  A * X = B, A**T
     *  X = B, or A**H * X = B with a general band matrix A using
     the LU factorization computed by ZGBTRF

SYNOPSIS
     SUBROUTINE ZGBTRS( TRANS, N, KL, KU, NRHS, AB,  LDAB,  IPIV,
               B, LDB, INFO )

     CHARACTER TRANS

     INTEGER INFO, KL, KU, LDAB, LDB, N, NRHS

     INTEGER IPIV( * )

     COMPLEX*16 AB( LDAB, * ), B( LDB, * )



     #include <sunperf.h>

     void zgbtrs(char trans, int n, int kl,  int  ku,  int  nrhs,
               doublecomplex  *zab,  int ldab, int *ipivot, doub-
               lecomplex *zb, int ldb, int *info) ;

PURPOSE
     ZGBTRS solves a system of linear equations
        A * X = B,  A**T * X = B,  or  A**H * X = B with  a  gen-
     eral  band  matrix  A using the LU factorization computed by
     ZGBTRF.


ARGUMENTS
     TRANS     (input) CHARACTER*1
               Specifies the form of the system of equations.   =
               'N':  A * X = B     (No transpose)
               = 'T':  A**T * X = B  (Transpose)
               = 'C':  A**H * X = B  (Conjugate transpose)

     N         (input) INTEGER
               The order of the matrix A.  N >= 0.

     KL        (input) INTEGER
               The number of subdiagonals within the band  of  A.
               KL >= 0.

     KU        (input) INTEGER
               The number of superdiagonals within the band of A.
               KU >= 0.

     NRHS      (input) INTEGER
               The number of right hand sides, i.e.,  the  number
               of columns of the matrix B.  NRHS >= 0.

     AB        (input) COMPLEX*16 array, dimension (LDAB,N)
               Details of the LU factorization of the band matrix
               A, as computed by ZGBTRF.  U is stored as an upper
               triangular band matrix with  KL+KU  superdiagonals
               in  rows  1  to  KL+KU+1, and the multipliers used
               during  the  factorization  are  stored  in   rows
               KL+KU+2 to 2*KL+KU+1.

     LDAB      (input) INTEGER
               The leading dimension of the array  AB.   LDAB  >=
               2*KL+KU+1.

     IPIV      (input) INTEGER array, dimension (N)
               The pivot indices; for 1 <= i <= N, row i  of  the
               matrix was interchanged with row IPIV(i).

     B         (input/output)   COMPLEX*16    array,    dimension
               (LDB,NRHS)
               On entry, the right hand side matrix B.  On  exit,
               the solution matrix X.

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

     INFO      (output) INTEGER
               = 0:  successful exit
               < 0:  if INFO = -i, the i-th argument had an ille-
               gal value

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