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SUBROUTINE ZGETRI( N, A, LDA, IPIV, WORK, LWORK, INFO )
016: *  Purpose
017: *  =======
018: *
019: *  ZGETRI computes the inverse of a matrix using the LU factorization
020: *  computed by ZGETRF.
021: *
022: *  This method inverts U and then computes inv(A) by solving the system
023: *  inv(A)*L = inv(U) for inv(A).
024: *
025: *  Arguments
026: *  =========
027: *
028: *  N       (input) INTEGER
029: *          The order of the matrix A.  N >= 0.
030: *
031: *  A       (input/output) COMPLEX*16 array, dimension (LDA,N)
032: *          On entry, the factors L and U from the factorization
033: *          A = P*L*U as computed by ZGETRF.
034: *          On exit, if INFO = 0, the inverse of the original matrix A.
035: *
036: *  LDA     (input) INTEGER
037: *          The leading dimension of the array A.  LDA >= max(1,N).
038: *
039: *  IPIV    (input) INTEGER array, dimension (N)
040: *          The pivot indices from ZGETRF; for 1<=i<=N, row i of the
041: *          matrix was interchanged with row IPIV(i).
042: *
043: *  WORK    (workspace/output) COMPLEX*16 array, dimension (MAX(1,LWORK))
044: *          On exit, if INFO=0, then WORK(1) returns the optimal LWORK.
045: *
046: *  LWORK   (input) INTEGER
047: *          The dimension of the array WORK.  LWORK >= max(1,N).
048: *          For optimal performance LWORK >= N*NB, where NB is
049: *          the optimal blocksize returned by ILAENV.
050: *
051: *          If LWORK = -1, then a workspace query is assumed; the routine
052: *          only calculates the optimal size of the WORK array, returns
053: *          this value as the first entry of the WORK array, and no error
054: *          message related to LWORK is issued by XERBLA.
055: *
056: *  INFO    (output) INTEGER
057: *          = 0:  successful exit
058: *          < 0:  if INFO = -i, the i-th argument had an illegal value
059: *          > 0:  if INFO = i, U(i,i) is exactly zero; the matrix is
060: *                singular and its inverse could not be computed.
061: *
062: *  =====================================================================

http://www.netlib.org/lapack/explore-html/zgetri.f.html
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