An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors

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	An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors
	Niu, Q. A. ; Lu, L. Z. ; Lu LZ(卢琳璋)
刊名	http://dx.doi.org/10.4208/nmtma.2010.33.4
	2010-08
关键词	KRYLOV SUBSPACE METHODS NONSYMMETRIC LINEAR-SYSTEMS STRATEGIES CONVERGENCE ALGORITHM EQUATIONS ARNOLDI VARIANT
英文摘要	We discuss a variant of restarted GMRES method that allows changes of the restarting vector at each cycle of iterations. The merit of the variant is that previously generated information can be utilized to select a new starting vector, such that the occurrence of stagnation be mitigated or the convergence be accelerated. The more appealing utilization of the new method is in conjunction with a harmonic Ritz vector as the starting vector, which is discussed in detail. Numerical experiments are carried out to demonstrate that the proposed procedure can effectively mitigate the occurrence of stagnation due to the presence of small eigenvalues in modulus.
语种	英语
内容类型	期刊论文
源URL	[http://dspace.xmu.edu.cn/handle/2288/66155]
专题	数学科学－已发表论文
推荐引用方式 GB/T 7714	Niu, Q. A.,Lu, L. Z.,Lu LZ. An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors[J]. http://dx.doi.org/10.4208/nmtma.2010.33.4,2010.
APA	Niu, Q. A.,Lu, L. Z.,&卢琳璋.(2010).An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors.http://dx.doi.org/10.4208/nmtma.2010.33.4.
MLA	Niu, Q. A.,et al."An Investigation of Restarted GMRES Method by Using Flexible Starting Vectors".http://dx.doi.org/10.4208/nmtma.2010.33.4 (2010).