Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing

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	Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
	Valeria Simoncini; Daniel B. Szyld
	2003
发表期刊	SIAM Journal on Scientific Computing
卷号	25 期号:2 页码:454 - 477
摘要	We provide a general framework for the understanding of inexact Krylov subspace methods for the solution of symmetric and nonsymmetric linear systems of equations, as well as for certain eigenvalue calculations. This framework allows us to explain the empirical results reported in a series of CERFACS technical reports by Bouras, Frayssé, and Giraud in 2000. Furthermore, assuming exact arithmetic, our analysis can be used to produce computable criteria to bound the inexactness of the matrix-vector multiplication in such a way as to maintain the convergence of the Krylov subspace method. The theory developed is applied to several problems including the solution of Schur complement systems, linear systems which depend on a parameter, and eigenvalue problems. Numerical experiments for some of these scientific applications are reported.
收录类别	其他
合作性质	其它
语种	英语
内容类型	期刊论文
URI标识	http://ir.iscas.ac.cn/handle/311060/1306
专题	中国科学院软件研究所
推荐引用方式 GB/T 7714	Valeria Simoncini,Daniel B. Szyld. Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing[J]. SIAM Journal on Scientific Computing,2003,25(2):454 - 477.
APA	Valeria Simoncini,&Daniel B. Szyld.(2003).Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing.SIAM Journal on Scientific Computing,25(2),454 - 477.
MLA	Valeria Simoncini,et al."Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing".SIAM Journal on Scientific Computing 25.2(2003):454 - 477.

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