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Deflated block Krylov subspace methods for large scale eigenvalue problems |
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| Authors: | Qiang Niu Linzhang Lu |
| Institution: | a College of Mathematical Science, Qingdao University, Qingdao 266071, PR China b BNU-HKBU United International College, Zhuhai, 519085, PR China c School of Mathematics and Computer Science, Guizhou Normal University, Guiyang 550001, PR China d School of Mathematical Sciences, Xiamen University, Xiamen 361005, PR China |
| Abstract: | We discuss a class of deflated block Krylov subspace methods for solving large scale matrix eigenvalue problems. The efficiency of an Arnoldi-type method is examined in computing partial or closely clustered eigenvalues of large matrices. As an improvement, we also propose a refined variant of the Arnoldi-type method. Comparisons show that the refined variant can further improve the Arnoldi-type method and both methods exhibit very regular convergence behavior. |
| Keywords: | 65F15 |
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