Geodesic
Matrices in Linear Mechanical Systems
Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 253-257

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent interesting paper [1] on the stability of linear mechanical systems S.P. Diliberto discusses certain reduction theorems for symmetric and skew-symmetric Hamiltonian matrices with respect to symplectic orthogonal similarity. In what follows it is shown that a unified simple argument will handle both of these problems together and then a s an example it is indicated how the argument can be also used to obtain the reduction theorem for symplectic orthogonal matrices. 
Marcus, Marvin. Matrices in Linear Mechanical Systems. Canadian mathematical bulletin, Tome 5 (1962) no. 3, pp. 253-257. doi: 10.4153/CMB-1962-025-7
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[1] 1. Diliberto, S.P., On stability of linear mechanical systems, Office of Naval Research Technical Report, Prepared under contract NONR 222(88). University of California, Berkeley. May, (1962). Google Scholar

[2] 2. Schur, I., Ein Satz ueber quad rati sche Formen mit komplexen Koeffizienten, Amer. J. Math. 67, (1945), 472. Google Scholar

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