Left eigenvalues of $2\times 2$ symplectic matrices

Details Left eigenvalues of $2\times 2$ symplectic matrices Left eigenvalues of $2\times 2$ symplectic matrices

2008-12-11

arxiv.org/abs/0812.2054v1

Mathematics

Rings and Algebras

7 pages

Scientific paper

We obtain a complete characterization of the $2\times 2$ 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.

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