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複素対称線形システム向けのCOMINRES-QLP法

複素対称線形システム向けのCOMINRES-QLP法

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カテゴリ: 論文誌(論文単位)

グループ名: 【B】電力・エネルギー部門

発行日: 2020/12/01

タイトル(英語): A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems

著者名: 劉 麗君(大阪大学大学院工学研究科),関谷 和明(名古屋大学大学院情報研究科),荻野 正雄(大同大学情報学部),桝井 晃基(名古屋大学大学院情報研究科)

著者名(英語): Lijun Liu (Graduate School of Engineering, Osaka University), Kazuaki Sekiya (Graduate School of Informatics, Nagoya University), Masao Ogino (Faculty of Informatics, Daido University), Koki Masui (Graduate School of Informatics, Nagoya University)

キーワード: 複素対称,反復法,電磁界解析,収束判定条件  complex symmetric,iterative method,electromagnetic field analysis,stopping criterion

要約(英語): Solving complex symmetric systems efficiently is a significantly important issue in the applications of electromagnetics since the discretization of the numerical model using the finite element method results in complex symmetric systems when computing the electromagnetic field. However, such complex symmetric systems are usually much more difficult to be solved because of the property of non-Hermitian therefore, efficient numerical methods for the solution of complex symmetric systems are demanded. In this study, we proposed an iterative method called COMINRES-QLP which is specially designed for complex symmetric linear systems. Moreover, we proposed a new stopping criterion which could be very useful in practical computations when the condition number of the coefficient matrix is unknown.

本誌: 電気学会論文誌B(電力・エネルギー部門誌) Vol.140 No.12 (2020)

本誌掲載ページ: 832-841 p

原稿種別: 論文/日本語

電子版へのリンク: https://www.jstage.jst.go.jp/article/ieejpes/140/12/140_832/_article/-char/ja/

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