ZGETRS  -  solve  a  system of linear equations A * X = B,
       A**T * X = B, or A**H * X = B with a general N-by-N matrix
       A using the LU factorization computed by ZGETRF


SYNOPSIS

       SUBROUTINE ZGETRS( TRANS,  N,  NRHS, A, LDA, IPIV, B, LDB,
                          INFO )

           CHARACTER      TRANS

           INTEGER        INFO, LDA, LDB, N, NRHS

           INTEGER        IPIV( * )

           COMPLEX*16     A( LDA, * ), B( LDB, * )


PURPOSE

       ZGETRS solves a system of linear equations A * X = B, A**T
       *  X  =  B, or A**H * X = B with a general N-by-N matrix A
       using the LU factorization computed by ZGETRF.


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.

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

       A       (input) COMPLEX*16 array, dimension (LDA,N)
               The  factors  L  and  U from the factorization A =
               P*L*U as computed by ZGETRF.

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

       IPIV    (input) INTEGER array, dimension (N)
               The  pivot indices from ZGETRF; 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.

               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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