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 |
卷 | 24 |
發行號 | 4 |
DOIs | |
出版狀態 | 已發佈 - 2003 |
ASJC Scopus subject areas
- 計算數學
- 應用數學