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Application of the theory of Hill's equation to the study of the stability of periodic classical orbits

✍ Scribed by Edmonds, A R

Book ID
121009244
Publisher
Institute of Physics
Year
1989
Tongue
English
Weight
199 KB
Volume
22
Category
Article
ISSN
0305-4470

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We describe how to find the general solution of the matrix equation XA + AX T = 0, with A ∈ C nΓ—n , which allows us to determine the dimension of its solution space. This result has immediate applications in the theory of congruence orbits of matrices in C nΓ—n , because the set {XA + AX T : X ∈ C nΓ—