著者
Hiroaki Seito Takeo Hoshi Yusaku Yamamoto
出版者
The Japan Society for Industrial and Applied Mathematics
雑誌
JSIAM Letters (ISSN:18830609)
巻号頁・発行日
vol.11, pp.13-16, 2019 (Released:2019-03-05)
参考文献数
11

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.