| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4637560 | Applied Mathematics and Computation | 2006 | 9 Pages |
Abstract
Given a pair of matrices and starting vectors, we present a procedure to generate the biorthonormal basis of the second-order right and left Krylov subspaces. The application is to solve the large-scale quadratic eigenvalue problems via oblique projection technique. This method can take full advantage of the sparseness of large-scale system as well as the superior convergence behavior of Krylov subspace based methods by implicit linearization, which makes the solution acceptable in terms of both cost and time.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Bin Wang, Yangfeng Su, Zhaojun Bai,