Abstract
Combining the Skew-Hamiltonian Isotropic implicitlyRestarted Arnoldi algorithm (SHIRA) due toMehrmann and Waktins and the refined projection principle proposed by the first author, we present a Skew-Hamiltonian Isotropic implicitly Restarted Refined Arnoldi algorithm (SHIRRA) for the skew-Hamiltonian/ Hamiltonian (SHH) pencil eigenvalue problem. Within SHIRRA, we propose new shifts, called refined shifts, that are theoretically better and numerically more efficient than the exact shifts used within SHIRA. Numerical examples illustrate the efficiency and superiority of SHIRRA.
| Original language | English |
|---|---|
| Pages (from-to) | 259-274 |
| Number of pages | 16 |
| Journal | Taiwanese Journal of Mathematics |
| Volume | 17 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2013 |
Keywords
- Exact shifts
- Implicit restart
- Quadratic eigenvalue problem
- Refined eigenvector approximation
- Refined projection
- Refined shifts
- Ritz value
- SHH pencil
Fingerprint
Dive into the research topics of 'Shirra: A refined variant of shira for the skew-hamiltonian/hamiltonian (SHH) pencil eigenvalue problem'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver