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Matrices in Linear Mechanical Systems

Published online by Cambridge University Press:  20 November 2018

Marvin Marcus
Marvin Marcus*
Affiliation:
University of California, Santa Barbara and University of British Columbia
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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.

Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 5 , Issue 3 , September 1962 , pp. 253 - 257
Copyright
Copyright © Canadian Mathematical Society 1962

References

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