摘要
The preconditioned generalized minimal residual(GMRES) method is a common method for solving non-symmetric,large and sparse linear systems which originated in discrete ordinary differential equations by Boundary value methods.In this paper,we propose a new circulant preconditioner to speed up the convergence rate of the GMRES method, which is a convex linear combination of P-circulant and Strang-type circulant preconditioners. Theoretical and practical arguments are given to show that this preconditioner is feasible and effective in some cases.
基金
Supported by the Scientific Research Foundation for Advisor Program of Higher Education of Gansu Province(1009-6)
Supported by the Scientific Research Foundation for Youth Scholars of Hexi University(qn201015)
