Some new preconditioned generalized AOR methods for generalized least-squares problems

摘要

Some new preconditioned GAOR methods for solving generalized least-squares problems and their comparison results are given. Comparison results show that the convergence rates of the new preconditioned GAOR methods are better than those of the preconditioned GAOR methods presented by Shen et al. [Preconditioned iterative methods for solving weighted linear least squares problems, Appl. Math. Mech.-Engl. Ed. 33(3) (2012), pp. 375-384] whenever these methods are convergent. Lastly, numerical experiments are provided to confirm the theoretical results.