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arxiv: 0812.2054 · v1 · submitted 2008-12-11 · 🧮 math.RA

Left eigenvalues of 2times 2 symplectic matrices

classification 🧮 math.RA
keywords eigenvaluesleftmatricesnumbersymplectictimesachievedalgorithm
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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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