Numerical solution of quadratic eigenvalue problems with structure-preserving methods

Tsung Min Hwang, Wen Wei Lin, Volker Mehrmann

研究成果: 雜誌貢獻期刊論文同行評審

25 引文 斯高帕斯(Scopus)

摘要

Numerical methods for the solution of large scale structured quadratic elgenvalue problems are discussed. We describe a new extraction procedure for the computation of eigenvectors and invariant subspaces of skew-Hamiltonian/Hamiltonian pencils using the recently proposed skew-Hamiltonian isotropic implicitly restarted Arnoldi method (SHIRA). As an application we discuss damped gyroscopic systems. For this problem we first solve the eigenvalue problem for the undamped system using the structure-preserving method and then use the quadratic Jacobi-Davidson method as correction procedure. We also illustrate the properties of the new approach for several other application problems.

原文英語
頁(從 - 到)1283-1302
頁數20
期刊SIAM Journal on Scientific Computing
24
發行號4
DOIs
出版狀態已發佈 - 2003 一月 1

ASJC Scopus subject areas

  • Computational Mathematics
  • Applied Mathematics

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