A COMINRES-QLP Method for Solving Complex Symmetric Linear Systems
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- Liu Lijun
- Graduate School of Engineering, Osaka University
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- Sekiya Kazuaki
- Graduate School of Informatics, Nagoya University
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- Ogino Masao
- Faculty of Informatics, Daido University
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- Masui Koki
- Graduate School of Informatics, Nagoya University
Bibliographic Information
- Other Title
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- 複素対称線形システム向けのCOMINRES-QLP法
- フクソ タイショウ センケイ システム ムケ ノ COMINRES-QLPホウ
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Abstract
<p>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.</p>
Journal
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- IEEJ Transactions on Power and Energy
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IEEJ Transactions on Power and Energy 140 (12), 832-841, 2020-12-01
The Institute of Electrical Engineers of Japan
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Details 詳細情報について
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- CRID
- 1390849376468150400
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- NII Article ID
- 130007948710
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- NII Book ID
- AN10136334
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- ISSN
- 13488147
- 03854213
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- NDL BIB ID
- 030793431
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- Text Lang
- ja
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- Data Source
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- JaLC
- NDL
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed