3 0 0 0 逆行列ベースの要素棄却型のIC分解前処理の性能評価
- 著者
- 阿部 譲司 塩出 亮 藤野 清次
- 出版者
- Japan Society for Simulation Technology
- 雑誌
- 日本シミュレーション学会論文誌 (ISSN:18835031)
- 巻号頁・発行日
- vol.7, no.1, pp.27-35, 2015
The Crout variant of ILU preconditioner devised recently has been to have some advan-tages over conventional row-based ILU preconditioner. One of advantages is to be able to adopt a dropping strategy for estimating column norm of inverse <i>U</i><sup>−1</sup>. This paper shows how to extend this inverse-based dropping strategy to solve a linear system of equations with symmetric positive definite matrix. Furthermore this paper reveals significant characteristics of inverse-based dropping strategy through numerical experi-ments.<br>
1 0 0 0 OA MRTR法の複素対称線形方程式への拡張(理論)
- 著者
- 塩出 亮 阿部 邦美 藤野 清次
- 出版者
- 一般社団法人日本応用数理学会
- 雑誌
- 日本応用数理学会論文誌 (ISSN:09172246)
- 巻号頁・発行日
- vol.17, no.1, pp.27-42, 2007-03-25
- 被引用文献数
- 2
The MRTR method has been recognized as an effective iterative method for singular systems of linear equations. The MRTR method is based on the three-term recurrence formula of the CG method and the algorithm is proven to be mathematically equivalent to the CR method. In this paper, we extend the MRTR method to solve complex symmetric linear systems. We describe this extended cs_MRTR method and prove that this method is mathematically equivalent to the COCR method. Numerical examples show that the cs_MRTR method shows a more stable convergence behavior than the COCR method.(Theory)