orize (A) ;

tic ; F = F + w ; x = F\b ; toc
tic ; y = (A+w*w')\b ;      toc
norm (x-y)

tic ; F = F - t ; x = F\b ; toc
tic ; y = (A+w*w'-t*t')\b ; toc
norm (x-y)

%% Caveat Executor
%
% One caveat:  If you have a large number of very small systems to solve,
% the object-oriented overhead of creating and using an object can dominate
% the run time, at least in MATLAB R2009a.  For this case, if you want the
% best performance, stick with BACKSLASH, or LU and LINSOLVE (just extract
% the appropriate formulas