dgetri(l) [redhat man page]

DGETRI(l)								 )								 DGETRI(l)

NAME

       DGETRI - compute the inverse of a matrix using the LU factorization computed by DGETRF

SYNOPSIS

       SUBROUTINE DGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO )

	   INTEGER	  INFO, LDA, LWORK, N

	   INTEGER	  IPIV( * )

	   DOUBLE	  PRECISION A( LDA, * ), WORK( * )

PURPOSE

       DGETRI  computes  the inverse of a matrix using the LU factorization computed by DGETRF.  This method inverts U and then computes inv(A) by
       solving the system inv(A)*L = inv(U) for inv(A).

ARGUMENTS

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

       A       (input/output) DOUBLE PRECISION array, dimension (LDA,N)
	       On entry, the factors L and U from the factorization A = P*L*U as computed by DGETRF.  On exit, if INFO = 0,  the  inverse  of  the
	       original matrix A.

       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).

       WORK    (workspace/output) DOUBLE PRECISION array, dimension (LWORK)
	       On exit, if INFO=0, then WORK(1) returns the optimal LWORK.

       LWORK   (input) INTEGER
	       The  dimension  of  the	array  WORK.  LWORK >= max(1,N).  For optimal performance LWORK >= N*NB, where NB is the optimal blocksize
	       returned by ILAENV.

	       If LWORK = -1, then a workspace query is assumed; the routine only calculates the optimal size of  the  WORK  array,  returns  this
	       value as the first entry of the WORK array, and no error message related to LWORK is issued by XERBLA.

       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 matrix is singular and its inverse could not be computed.

LAPACK version 3.0						   15 June 2000 							 DGETRI(l)