English

Left eigenvalues of $2\times 2$ symplectic matrices

Rings and Algebras 2008-12-12 v1

Abstract

We obtain a complete characterization of the 2×22\times 2 symplectic matrices having an infinite number of left eigenvalues. Previously, we give a new proof of a result from Huang and So about the number of eigenvalues of a quaternionic matrix. This is achieved by applying an algorithm for the resolution of equations due to De Leo et al.

Keywords

Cite

@article{arxiv.0812.2054,
  title  = {Left eigenvalues of $2\times 2$ symplectic matrices},
  author = {E. Macías-Virgós and M. J. Pereira-Sáez},
  journal= {arXiv preprint arXiv:0812.2054},
  year   = {2008}
}

Comments

7 pages

R2 v1 2026-06-21T11:50:38.247Z