頁籤選單縮合
題 名 | A Method for Profiling the Distribution of Eigenvalues Using the as Method |
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作 者 | Senzaki, Kenta; Tadano, Hiroto; Sakurai, Tetsuya; Bai, Zhaojun; | 書刊名 | Taiwanese Journal of Mathematics |
卷 期 | 14:3A 2010.06[民99.06] |
頁 次 | 頁839-853 |
分類號 | 319 |
關鍵詞 | Eigenvalue distribution; Profiling eigenvalues; Algebraic sub-structuring; CIRR; |
語 文 | 英文(English) |
英文摘要 | This paper is concerned with solving large-scale eigenvalue problemsbyalgebraicsub-structuringandcontourintegral. WecombineAlgebraic Sub-structuring (AS) method and the Contour Integral Rayleigh-Ritz (CIRR) method. The AS method calculates approximate eigenpairs fast and has been shown to be efficient for vibration and acoustic analysis. However, the application areas of this method have been limited because its accuracy is usually lower than other methods. On the other hand, if the appropriate domains are chosen, the CIRR method produces accurate solutions. However, it is difficult to choose these domains without the information of eigenvalue distribution. We propose a combination of AS and CIRR such as the AS method is used as a method for profiling a distributionof eigenvalues, and the accurate solutions are produced by the CIRR method using the information of eigenvalue distributionprovided by AS. We show our method is effective from the result of applying this method to the molecular orbital calculations. |
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