ZGETRS(3)      LAPACK routine of NEC Numeric Library Collection      ZGETRS(3)



NAME
       ZGETRS

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



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)
                     TRANS is 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)
                     N is INTEGER
                     The order of the matrix A.  N >= 0.

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

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

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

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

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

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



LAPACK routine                  31 October 2017                      ZGETRS(3)