| Autor: |
Barkatou, M., Boito, P., Ugalde, E. Segura |
| Rok vydání: |
2015 |
| Předmět: |
|
| Druh dokumentu: |
Working Paper |
| Popis: |
We study some aspects of the invariant pair problem for matrix polynomials, as introduced by Betcke and Kressner and by Beyn and Thuemmler. Invariant pairs extend the notion of eigenvalue-eigenvector pairs, providing a counterpart of invariant subspaces for the nonlinear case. We compute formulations for the condition numbers and backward errors of invariant pairs and solvents. We then adapt the Sakurai-Sugiura moment method to the computation of invariant pairs, including some classes of problems that have multiple eigenvalues. Numerical refinement via a variants of Newton's method is also studied. Furthermore, we investigate the relation between the matrix solvent problem and the triangularization of matrix polynomials. |
| Databáze: |
arXiv |
| Externí odkaz: |
|
