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题名:
Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing
作者: Valeria Simoncini ; Daniel B. Szyld
刊名: SIAM Journal on Scientific Computing
发表日期: 2003
卷: 25, 期:2, 页:454 - 477
收录类别: 其他
合作性质: 其它
英文摘要: 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.
语种: 英语
内容类型: 期刊论文
URI标识: http://ir.iscas.ac.cn/handle/311060/1306
Appears in Collections:软件所图书馆_期刊论文

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Recommended Citation:
Valeria Simoncini,Daniel B. Szyld. Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing[J]. SIAM Journal on Scientific Computing,2003-01-01,25(2):454 - 477.
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