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CGESV(l)			       )			      CGESV(l)

NAME
       CGESV  - compute the solution to a complex system of linear equations A
       * X = B,

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

	   INTEGER	 INFO, LDA, LDB, N, NRHS

	   INTEGER	 IPIV( * )

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

PURPOSE
       CGESV computes the solution to a complex system of linear equations A *
       X = B, where A is an N-by-N matrix and X and B are N-by-NRHS matrices.

       The LU decomposition with partial pivoting and row interchanges is used
       to factor A as
	  A = P * L * U,
       where P is a permutation matrix, L is unit lower triangular, and	 U  is
       upper  triangular.   The	 factored  form of A is then used to solve the
       system of equations A * X = B.

ARGUMENTS
       N       (input) INTEGER
	       The number of linear equations, i.e., 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/output) COMPLEX array, dimension (LDA,N)
	       On entry, the N-by-N coefficient matrix A.  On exit,  the  fac‐
	       tors  L and U from the factorization A = P*L*U; the unit diago‐
	       nal elements of L are not stored.

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

       IPIV    (output) INTEGER array, dimension (N)
	       The pivot indices that define the permutation matrix P;	row  i
	       of the matrix was interchanged with row IPIV(i).

       B       (input/output) COMPLEX array, dimension (LDB,NRHS)
	       On entry, the N-by-NRHS matrix of right hand side matrix B.  On
	       exit, if INFO = 0, the N-by-NRHS 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 illegal value
	       > 0:  if INFO = i, U(i,i) is exactly zero.   The	 factorization
	       has  been  completed,  but the factor U is exactly singular, so
	       the solution could not be computed.

LAPACK version 3.0		 15 June 2000			      CGESV(l)
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