Evaluating matrix power series with the CayleyHamilton theorem
Abstract
The CayleyHamilton theorem is used to implement an iterative process for the efficient numerical computation of matrix power series and their differentials. In addition to straightforward 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) onelink integrals or the computation of SU(N) matrix logarithms.
 Publication:

arXiv eprints
 Pub Date:
 April 2024
 DOI:
 10.48550/arXiv.2404.07704
 arXiv:
 arXiv:2404.07704
 Bibcode:
 2024arXiv240407704R
 Keywords:

 High Energy Physics  Lattice
 EPrint:
 9 pages, updated secion III, references added