用 Cayley-Hamilton 定理评估矩阵幂级数

arXiv - PHYS - High Energy Physics - Lattice Pub Date : 2024-04-11 DOI:arxiv-2404.07704

Tobias Rindlisbacher

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引用次数: 0

摘要

除了直接应用于晶格规理论模拟（如降低涂抹的计算成本），该方法还可用于简化 SU(N) 单链积分的求值或 SU(N) 矩阵对数的计算。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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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 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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arXiv - PHYS - High Energy Physics - Lattice

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