Evaluating matrix power series with the Cayley-Hamilton theorem
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915284479115264 |
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| author | Rindlisbacher, Tobias |
| author_facet | Rindlisbacher, Tobias |
| contents | The Cayley-Hamilton theorem is used to implement an iterative process for the efficient numerical computation of matrix power series and their differentials. In addition to straight-forward applications in lattice gauge theory simulations e.g. to reduce the computational cost of smearing, the method can also be used to simplify the evaluation of SU(N) one-link integrals or the computation of SU(N) matrix logarithms. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_07704 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Evaluating matrix power series with the Cayley-Hamilton theorem Rindlisbacher, Tobias High Energy Physics - Lattice The Cayley-Hamilton theorem is used to implement an iterative process for the efficient numerical computation of matrix power series and their differentials. In addition to straight-forward applications in lattice gauge theory simulations e.g. to reduce the computational cost of smearing, the method can also be used to simplify the evaluation of SU(N) one-link integrals or the computation of SU(N) matrix logarithms. |
| title | Evaluating matrix power series with the Cayley-Hamilton theorem |
| topic | High Energy Physics - Lattice |
| url | https://arxiv.org/abs/2404.07704 |