umf_luinfo — get information on LU factors
[OK, nrow, ncol, lnz, unz, udiag_nz, it] = umf_luinfo(LU_ptr)
a pointer to umf lu factors (L,U,p,q, R)
a scalar boolean
scalars (integers)
This function may be used to know basic information about LU factors created with umf_lufact :
    first OK is %t if LU_ptr is a valid pointer to an umfpack 
    LU numeric handle (and %f else)
  
    if OK is %t then: 
  
are the matrix size (L is nrow x n and U is  n x ncol
              where n = min(nrow,ncol)
        
are the number of non zeros elements in L and in U;
are the number of non zeros elements on the diagonal of U; if the matrix
              is square (nrow = ncol = n) then it is not inversible if 
              udiag_nz < n (more precisely it appears to be numericaly not
              inversible through the LU factorization).
        
0 if the factors are real and 1 if they are complex.
if OK is %f then all the others outputs are set to the empty matrix [].
 
// this is the test matrix from UMFPACK
A = sparse( [ 2  3  0  0  0;
              3  0  4  0  6; 
              0 -1 -3  2  0; 
              0  0  1  0  0; 
              0  4  2  0  1] );
Lup = umf_lufact(A);
[OK, nrow, ncol, lnz, unz, udiag_nz, it] = umf_luinfo(Lup)  // OK must be %t, nrow=ncol = 5, 
[L,U,p,q,R] = umf_luget(Lup);
nnz(L)  // must be equal to lnz
nnz(U)  // must be equal to unz
umf_ludel(Lup) // clear memory