典型文献
HEAVY BALL FLEXIBLE GMRES METHOD FOR NONSYMMETRIC LINEAR SYSTEMS
文献摘要：
Flexible GMRES(FGMRES)is a variant of preconditioned GMRES,which changes preconditioners at every Arnoldi step.GMRES often has to be restarted in order to save storage and reduce orthogonalization cost in the Arnoldi process.Like restarted GMRES,FGMRES may also have to be restarted for the same reason.A major disadvantage of restarting is the loss of convergence speed.In this paper,we present a heavy ball flexible GMRES method,aiming to recoup some of the loss in convergence speed in the restarted flexible GMRES while keep the benefit of limiting memory usage and controlling orthogonalization cost.Numerical tests often demonstrate superior performance of the proposed heavy ball FGMRES to the restarted FGMRES.
文献关键词：
中图分类号：
作者姓名：
Mei Yang;Ren-Cang Li
作者机构：
School of Mathematical Sciences,Shanghai Jiao Tong University,Shanghai 200240,China;Department of Mathematics,University of Texas at Arlington,Arlington,TX,USA
文献出处：
引用格式：
[1]Mei Yang;Ren-Cang Li-.HEAVY BALL FLEXIBLE GMRES METHOD FOR NONSYMMETRIC LINEAR SYSTEMS)[J].计算数学（英文版）,2022(05):711-727
A类：
HEAVY,BALL,FLEXIBLE,NONSYMMETRIC,LINEAR,SYSTEMS,FGMRES,preconditioners,orthogonalization,recoup
B类：
METHOD,FOR,Flexible,variant,preconditioned,which,changes,every,Arnoldi,step,often,has,restarted,order,save,storage,reduce,cost,process,Like,may,also,have,same,reason,major,disadvantage,restarting,loss,convergence,speed,In,this,paper,we,present,heavy,ball,flexible,method,aiming,some,while,keep,benefit,limiting,memory,usage,controlling,Numerical,tests,demonstrate,superior,performance,proposed
AB值：
0.43852
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