Evaluating matrix power series with the Cayley-Hamilton theorem
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...
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Zusammenfassung: | 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. |
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DOI: | 10.48550/arxiv.2404.07704 |