Name
Abstract | ||
|---|---|---|
We develop the shifted COCG method [R. Takayama, T. Hoshi, T. Sogabe, S.-L. Zhang, T. Fujiwara, Linear algebraic calculation of Green's function for large-scale electronic structure theory, Phys. Rev. B 73 (165108) (2006) 1-9] and the shifted WQMR method [T. Sogabe, T. Hoshi, S.-L. Zhang, T. Fujiwara, On a weighted quasi-residual minimization strategy of the QMR method for solving complex symmetric shifted linear systems, Electron. Trans. Numer. Anal. 31 (2008) 126-140] for solving generalized shifted linear systems with complex symmetric matrices that arise from the electronic structure theory. The complex symmetric Lanczos process with a suitable bilinear form plays an important role in the development of the methods. The numerical examples indicate that the methods are highly attractive when the inner linear systems can efficiently be solved. |
Year | DOI | Venue |
|---|---|---|
2012 | 10.1016/j.jcp.2012.04.046 | J. Comput. Physics |
Keywords | Field | DocType |
complex symmetric matrix,linear algebraic calculation,qmr method,t. hoshi,linear system,t. sogabe,complex symmetric,wqmr method,cocg method,inner linear system,t. fujiwara | Lanczos process,Mathematical optimization,Electronic structure,Algebraic number,Bilinear form,Linear system,Mathematical analysis,Symmetric matrix,Minification,Mathematics,Electron | Journal |
Volume | Issue | ISSN |
231 | 17 | 0021-9991 |
Citations | PageRank | References |
5 | 0.68 | 7 |
Authors | ||
4 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Tomohiro Sogabe | 1 | 154 | 20.86 |
| Takeo Hoshi | 2 | 7 | 2.83 |
| Shao-Liang Zhang | 3 | 92 | 19.06 |
| Takeo Fujiwara | 4 | 67 | 10.89 |