On using the shifted minimal residual method for quantum-mechanical wave packet simulation
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- Seito Hiroaki
- The University of Electro-Communications
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- Hoshi Takeo
- Tottori University
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- Yamamoto Yusaku
- The University of Electro-Communications
Abstract
<p>We apply the shifted minimum residual method to a shifted linear system $(A+i\sigma I){\bf x}={\bf b}$ arising from quantum-mechanical wave packet simulation and discuss its advantages and disadvantages, comparing it with the widely used COCG method. Although the method requires more vector operations per iteration than the COCG method, it enjoys such nice properties as being free from breakdown, monotonic decrease of the residual norm and applicability to Hermitian-plus-shift systems, and can be a method of choice in some cases. Application of the method to the case of multiple shifts is also discussed.</p>
Journal
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- JSIAM Letters
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JSIAM Letters 11 (0), 13-16, 2019
The Japan Society for Industrial and Applied Mathematics
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Keywords
Details 詳細情報について
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- CRID
- 1390845713054745344
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- NII Article ID
- 130007607760
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- ISSN
- 18830617
- 18830609
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- Text Lang
- en
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- Data Source
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- JaLC
- Crossref
- CiNii Articles
- KAKEN
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- Abstract License Flag
- Disallowed