Gradient methods in the solution of systems of linear equations

Th e res u l t~ of expe rim cnts with iterative met hods fo r sol vin g systcm s of lin car algebraic equa t ion s are di scussed. :Yfodifications of the optimum gradie nt met hod are co mpa rcd , and t hc rat her interest in g self-accelerati o n propert ies of a class of methods her e flam ed " alm ost opt imum " g radient mc t hods are poin ted o ut.