部分修正行列用逆ベキ乗法による固有値解析(実用)

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タイトル別名
  • A Numerical Method for Eigensolution of Locally Modified Matrices Based on the Inverse Power Method(Practice)
  • 部分修正行列用逆ベキ乗法による固有値解析
  • ブブン シュウセイ ギョウレツヨウ ギャクベキ ジョウホウ ニ ヨル コユウチ カイセキ

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説明

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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