Structure Preserving Restarts of the Non-Symmetric Lanczos Algorithm via the Implicitly shifted LR algorithm
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910519661690880 |
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| author | Negi, Prabal S. Arratia, Cristobal |
| author_facet | Negi, Prabal S. Arratia, Cristobal |
| contents | The implicitly shifted QR iteration is used as a restart procedure for the Arnoldi method for the calculation of a few dominant eigenvalues of a large matrix. We show that the underlying idea of implicit polynomial filtering can be utilized in much the same manner via the implicitly shifted LR iteration to create a restart procedure for the non-symmetric Lanczos algorithm for eigenvalue computations, which preserves the tri-diagonal structure of the reduced matrix. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_06561 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Structure Preserving Restarts of the Non-Symmetric Lanczos Algorithm via the Implicitly shifted LR algorithm Negi, Prabal S. Arratia, Cristobal Computational Physics The implicitly shifted QR iteration is used as a restart procedure for the Arnoldi method for the calculation of a few dominant eigenvalues of a large matrix. We show that the underlying idea of implicit polynomial filtering can be utilized in much the same manner via the implicitly shifted LR iteration to create a restart procedure for the non-symmetric Lanczos algorithm for eigenvalue computations, which preserves the tri-diagonal structure of the reduced matrix. |
| title | Structure Preserving Restarts of the Non-Symmetric Lanczos Algorithm via the Implicitly shifted LR algorithm |
| topic | Computational Physics |
| url | https://arxiv.org/abs/2407.06561 |