Geodesic
Left eigenvalues of $2\times 2$ symplectic matrices
The electronic journal of linear algebra, Tome 18 (2009), pp. 274-280.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: A complete characterization is obtained of the $2 \times 2$ 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.
Classification : 15A04, 11R52, 15A33
Keywords: quaternions, quadratic equation, left eigenvalues, symplectic matrix 
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     author = {Macias-Virgos, E. and Pereira-Saez, M.J.},
     title = {Left eigenvalues of $2\times 2$ symplectic matrices},
     journal = {The electronic journal of linear algebra},
     pages = {274--280},
     publisher = {mathdoc},
     volume = {18},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2009__18__a34/}
}
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Macias-Virgos, E.; Pereira-Saez, M.J. Left eigenvalues of $2\times 2$ symplectic matrices. The electronic journal of linear algebra, Tome 18 (2009), pp. 274-280. http://geodesic.mathdoc.fr/item/ELA_2009__18__a34/