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| Theory of Inexact Krylov Subspace Methods and Applications to Scientific Computing | |
| Valeria Simoncini; Daniel B. Szyld | |
| 2003 | |
| Source | SIAM Journal on Scientific Computing
 |
| Volume | 25Issue:2Pages:454 - 477 |
| English Abstract | 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. |
| Indexed Type | 其他 |
| Cooperation Status | 其它 |
| Language | 英语 |
| Content Type | 期刊论文 |
| URI | http://ir.iscas.ac.cn/handle/311060/1306 |
| Collection | 中国科学院软件研究所 |
| Recommended Citation 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. |
| Files in This Item: | ||||||
| File Name/Size | DocType | Version | Access | License | ||
| bj01131253.pdf（1530KB） | 开放获取 | License | Application Full Text | |||
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