- 【Updated on May 12, 2025】 Integration of CiNii Dissertations and CiNii Books into CiNii Research
- Trial version of CiNii Research Knowledge Graph Search feature is available on CiNii Labs
- 【Updated on June 30, 2025】Suspension and deletion of data provided by Nikkei BP
- Regarding the recording of “Research Data” and “Evidence Data”
Inner-iteration Preconditioning with Symmetric Splitting Matrices for Symmetric Singular Linear Systems
-
- Morikuni Keiichi
- Faculty of Engineering, Information and Systems, University of Tsukuba
Bibliographic Information
- Other Title
-
- 対称な特異線形系に対する対称な分離行列を持つ内部反復前処理
Description
<p>Abstract. We give conditions such that the conjugate gradient (CG) method and the minimal residual (MINRES) method preconditioned by the stationary inner iterations with symmetric splitting matrices respectively determine a solution of a symmetric linear system including the singular case. These results are applied to the inner-iteration preconditioned CG and MINRES-type methods for solving least squares and minimum-norm solution problems in the rank-deficient case to complement the convergence theory of these methods in [Morikuni, Hayami, SIAM J. Matrix Appl. Anal., 34 (2013), 1–22].</p>
Journal
-
- Transactions of the Japan Society for Industrial and Applied Mathematics
-
Transactions of the Japan Society for Industrial and Applied Mathematics 29 (1), 62-77, 2019
The Japan Society for Industrial and Applied Mathematics
- Tweet
Details 詳細情報について
-
- CRID
- 1390845713069829760
-
- NII Article ID
- 130007618981
-
- ISSN
- 24240982
-
- Text Lang
- ja
-
- Article Type
- journal article
-
- Data Source
-
- JaLC
- CiNii Articles
- KAKEN
- Crossref
-
- Abstract License Flag
- Disallowed