頁籤選單縮合
題 名 | A Rational Shira Method for the Hamiltonian Eigenvalue Problem |
---|---|
作 者 | Benner, Peter; Effenberger, Cedric; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 14:3A 2010.06[民99.06] |
頁 次 | 頁805-823 |
分類號 | 314.7 |
關鍵詞 | Eigenvalue problem; Rtional krylov subspace method; Sew-hamiltonian matrix; Hamiltonian matrix; Sift-and-invert operator; |
語 文 | 英文(English) |
英文摘要 | The SHIRA method of Mehrmann and Watkins belongs among the structure preserving Krylov subspace methods for solving skew-Hamiltonian eigenvalue problems. It can also be applied to Hamiltonian eigenproblems by considering a suitable transformation. Structure-induced shift-and-invert techniques are employed to steer the algorithm towards the interesting region of the spectrum. However, the shift cannot be altered in the middle of the computation without discarding the information that has been accumulated so far. This paper shows how SHIRA can be combined with ideas from Ruhe’s Rational Krylov algorithm to yield a method that permits an adjustment of shift after every step of the computation, adding greatly to the flexibility of thealgorithm. We call this new method Rational SHIRA. A numerical example is presented to demonstrate its efficiency. |
本系統中英文摘要資訊取自各篇刊載內容。