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Title: Multi-level method in eigenvalue problem (English)
Author: Vaněk, Petr
Language: English
Journal: Applications of Mathematics
ISSN: 0862-7940
Volume: 39
Issue: 4
Year: 1994
Pages: 259-267
Summary lang: English
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Category: math
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Summary: One method for computing the least eigenvalue of a positive definite matrix $A$ of order $n$ is described. (English)
Keyword: eigenvalue problem
Keyword: multi-level method
Keyword: least eigenvalue
Keyword: power method
MSC: 65F10
MSC: 65F15
idZBL: Zbl 0816.65018
idMR: MR1284100
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Date available: 2009-09-22T17:44:10Z
Last updated: 2015-05-25
Stable URL: http://hdl.handle.net/10338.dmlcz/134256
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Reference: [lit1] Stoer J., Bulirsch R.: Introduction to Numerical Analysis.Springer Verlag, 1980. MR 0557543
Reference: [lit2] C. B. Moler, G. W. Stewart: An algorithm for generalized matrix eigenvalue problems.SIAM J. Numer. Anal. 10 (1973). MR 0345399, 10.1137/0710024
Reference: [lit3] W. Hackbusch: Multigrid methods and applications.Springer Verlag, 1985. MR 0814495
Reference: [lit4] P. Vaněk: Acceleration of algebraic multigrid method.Proceedings of the IX. Summer School SANM 91.
Reference: [lit5] S. Míka, P. Vaněk: Modification of Two-level Algorithm with overcorrection.Appl. Math. 37 (1992), 13–28. MR 1152154
Reference: [lit6] P. Vaněk: Acceleration of two-level algorithm by smoothing transfer operators.Appl. Math. 37 (1992), 265–274. MR 1180605
Reference: [lit7] S. Míka, P. Vaněk: Acceleration of convergence of a two-level algebraic algorithm by aggregation in smoothing process.Appl. Math. 37 (1992), 243–356. MR 1175929
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