Advances in Classical Subspace Iteration Method for Eigenvalue Problem

P. Chen (), Q. C. Zhao, W. B. Peng, Y. Q. Chen and M. W. Yuan
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P. Chen: Peking University, Lab for Turbulence and Complex System & Department of Mechanics and Aerospace Engineering
Q. C. Zhao: Peking University, Lab for Turbulence and Complex System & Department of Mechanics and Aerospace Engineering
W. B. Peng: Peking University, Lab for Turbulence and Complex System & Department of Mechanics and Aerospace Engineering
Y. Q. Chen: Peking University, Lab for Turbulence and Complex System & Department of Mechanics and Aerospace Engineering
M. W. Yuan: Peking University, Lab for Turbulence and Complex System & Department of Mechanics and Aerospace Engineering

A chapter in Computational Mechanics, 2007, pp 194-205 from Springer

Abstract: Abstract In this paper we report two advances in the classical subspace iteration method for eigenvalue problems arising in finite element analysis. One extends the computable error bound proposed by Matthies to the case with nonzero shift and the other is an aggressive shift for the subspace iteration. Numerical tests show that the propose method can effectively improve the performance of the subspace iteration method.

Keywords: eigenvalue; subspace iteration; structural vibration (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-540-75999-7_18

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DOI: 10.1007/978-3-540-75999-7_18

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