Transactions of the Japan Society for Industrial and Applied Mathematics
Online ISSN : 2424-0982
ISSN-L : 0917-2246
A Numerical Method for Eigensolution of Locally Modified Matrices Based on the Inverse Power Method(Practice)
Mitsuhiro KASHIWAGI
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2006 Volume 16 Issue 2 Pages 121-133

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Abstract
Rapid reanalysis of eigensolutions after modifications is a problem of considerable practical importance. Several methods have been developed to compute eigenvalues by using modified parts. This paper proposes a numerical method for calculating eigenvalues of modified system using the numerical solutions of unmodified system with the Inverse Power method. The advantages of the proposed method are examined comparing with the solutions of inverse power method by several numerical examples. The results obtained agree well with the exact solutions in short CPU time and this indicates that the proposed method provides efficient convergency.
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© 2006 The Japan Society for Industrial and Applied Mathematics
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