Left eigenvalues of 2 by 2 symplectic matrices

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E. Macías-Virgós
M. Pereira-Sáez


A complete characterization is obtained of the 2 x 2 symplectic matrices that have an infinite number of left eigenvalues. Also, a new proof is given of a result of Huang and So on 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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