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arXiv · 2605.29077

Eigenvalue-cluster Algorithm for Matrix Monte Carlo

Samuel Kováčik·Matej Hrmo
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Abstract

Various physical models can be expressed in terms of matrices. A valuable tool for analysing matrix models is numerical simulations, often the Metropolis algorithm with various improvements. The downside of this approach is that the simulation may become stuck in a vacuous state, and probing the relevant parts of the configuration space might be difficult. Here, we propose an algorithm that moves around a cluster of eigenvalues and show that it converges to the true vacuum state.

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Samuel Kováčik, Matej Hrmo. 2026-05-27. Eigenvalue-cluster Algorithm for Matrix Monte Carlo. https://arxiv.org/abs/2605.29077

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