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NII Technical Report (NII-2012-001E)：FGMRES for linear discrete ill-posed problems
https://doi.org/10.20736/0000001266
https://doi.org/10.20736/00000012660975ee61-e61b-41f3-a70b-278b602e43f8
| 名前 / ファイル | ライセンス | アクション |
|---|---|---|
NII Technical Report (NII-2012-001E)：FGMRES for linear discrete ill-posed problems (296.1 kB)
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| アイテムタイプ | レポート / Report(1) | |||||||||||||||
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
| 公開日 | 2019-03-13 | |||||||||||||||
| タイトル | ||||||||||||||||
| タイトル | NII Technical Report (NII-2012-001E)：FGMRES for linear discrete ill-posed problems | |||||||||||||||
| 言語 | en | |||||||||||||||
| 言語 | ||||||||||||||||
| 言語 | eng | |||||||||||||||
| キーワード | ||||||||||||||||
| 言語 | ja | |||||||||||||||
| 主題Scheme | Other | |||||||||||||||
| 主題 | テクニカルレポート | |||||||||||||||
| キーワード | ||||||||||||||||
| 言語 | en | |||||||||||||||
| 主題Scheme | Other | |||||||||||||||
| 主題 | Technical Report | |||||||||||||||
| 資源タイプ | ||||||||||||||||
| 資源 | http://purl.org/coar/resource_type/c_6501 | |||||||||||||||
| タイプ | departmental bulletin paper | |||||||||||||||
| ID登録 | ||||||||||||||||
| ID登録 | 10.20736/0000001266 | |||||||||||||||
| ID登録タイプ | JaLC | |||||||||||||||
| 著者 |
保國, 惠一
× 保國, 惠一
× Reichel, Lothar
× 速水, 謙
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| 抄録 | ||||||||||||||||
| 内容記述タイプ | Abstract | |||||||||||||||
| 内容記述 | GMRES is one of the most popular iterative methods for the solution of large linear systems of equations. However, GMRES generally does not perform well when applied to the solution of linear systems of equations that arise from the discretization of linear ill-posed problems with error-contaminated data represented by the right-hand side. Such linear systems are commonly referred to as linear discrete ill-posed problems. The FGMRES method, proposed by Saad, is a generalization of GMRES that allows larger flexibility in the choice of solution subspace than GMRES. This paper explores application of FGMRES to the solution of linear discrete ill-posed problems. Numerical examples illustrate that FGMRES with a suitably chosen solution subspace may determine approximate solutions of higher quality than commonly applied iterative methods. | |||||||||||||||
| 言語 | en | |||||||||||||||
| 書誌情報 |
ja : NIIテクニカル・レポート en : NII Technical Report p. 1-21, 発行日 2012-01-12 |
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| 出版者 | ||||||||||||||||
| 出版者 | 国立情報学研究所 | |||||||||||||||
| 言語 | ja | |||||||||||||||
| ISSN | ||||||||||||||||
| 収録物識別子タイプ | ISSN | |||||||||||||||
| 収録物識別子 | 1346-5597 | |||||||||||||||
