English

Fast Symbolic Integer-Linear Spectra

Rings and Algebras 2026-01-05 v3 Mathematical Software Numerical Analysis Symbolic Computation Numerical Analysis

Abstract

Here we contribute a fast symbolic eigenvalue solver for matrices whose eigenvalues are Z\mathbb{Z}-linear combinations of their entries, alongside efficient general and stochastic MXM^{X} generators. Users can interact with a few degrees of freedom to create linear operators, making high-dimensional symbolic analysis feasible for when numerical analyses are insufficient.

Cite

@article{arxiv.2410.09053,
  title  = {Fast Symbolic Integer-Linear Spectra},
  author = {Jonny Luntzel and Abraham Miller},
  journal= {arXiv preprint arXiv:2410.09053},
  year   = {2026}
}
R2 v1 2026-06-28T19:18:11.634Z