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LAPACK version 3.0
dgetrs(3)

PURPOSE
  DGETRS - solve a system of linear equations A * X = B or A' * X = B with a
  general N-by-N matrix A using the LU factorization computed by DGETRF

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

      CHARACTER	     TRANS

      INTEGER	     INFO, LDA, LDB, N, NRHS

      INTEGER	     IPIV( * )

      DOUBLE	     PRECISION A( LDA, * ), B( LDB, * )

DESCRIPTION
  DGETRS solves a system of linear equations A * X = B or A' * X = B with a
  general N-by-N matrix A using the LU factorization computed by DGETRF.

ARGUMENTS
  TRANS	  (input) CHARACTER*1
	  Specifies the form of the system of equations:
	  = 'N':  A * X = B  (No transpose)
	  = 'T':  A'* X = B  (Transpose)
	  = 'C':  A'* X = B  (Conjugate transpose = 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) DOUBLE PRECISION array, dimension (LDA,N)
	  The factors L and U from the factorization A = P*L*U as computed by
	  DGETRF.

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

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

  B	  (input/output) DOUBLE PRECISION 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 illegal value