Restarted FOM Augmented with Ritz Vectors for Shifted Linear Systems

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摘要 TherestartedFOMmethodpresentedbySimoncini[7]accordingtothenaturalcollinearityofallresidualsisanefficientmethodforsolvingshiftedsystems,whichgeneratesthesameKrylovsubspacewhentheshiftsarehandledsimultaneously.However,restartingslowsdowntheconvergence.WepresentapracticalmethodforsolvingtheshiftedsystemsbyaddingsomeRitzvectorsintotheKrylovsubspacetoformanaugmentedKrylovsubspace.NumericalexperimentsillustratethattheaugmentedFOMapproach(restartedversion)canconvergemorequicklythantherestartedFOMmethod.
机构地区 不详
出版日期 2006年01月11日(中国期刊网平台首次上网日期,不代表论文的发表时间)
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