function f = luflop (L, U) %#ok %LUFLOP given L and U, computes # of flops required to compute them % % Example: % f = luflop (L, U) % % Given an LU factorization, compute how many flops took to compute it. This % is the same as (assuming U has a zero-free diagonal): % % Lnz = full (sum (spones (L))) - 1 ; % Unz = full (sum (spones (U')))' - 1 ; % f = 2*Lnz*Unz + sum (Lnz) ; % % except that no extra workspace is allocated for spones (L) and spones (U). % L and U must be sparse. % % Note: the above expression has a subtle undercount when exact numerical % cancelation occurs. Try [L,U,P] = lu (sparse (ones (10))) and then % luflop (L,U). % % See also LU % Copyright 1995-2007 by Timothy A. Davis. help luflop error ('luflop mexFunction not found! Use umfpack_make to compile luflop.') ;