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arXiv · 0812.2054

Left eigenvalues of $2\times 2$ symplectic matrices

E. Macías-Virgós·M. J. Pereira-Sáez
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Abstract

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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E. Macías-Virgós, M. J. Pereira-Sáez. 2008-12-11. Left eigenvalues of $2\times 2$ symplectic matrices. https://arxiv.org/abs/0812.2054

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