On a Class of Symplectic Similarity Transformation Matrices

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We present a class of symplectic matrices which transform by similarity given $2n\times 2n$ -dimensional matrix into Bunse-Gerstner form. If the given matrix is skew-Hamiltonian, the transformation gives a solution of an antisymmetric Riccati matrix equation, resulting from optimal control of linear systems.
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Rings and Algebras, 15A24, 15A18, 35G05

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http://salesiana.dossiersoluciones.com/handle/123456789/63420

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0202250
 http://arxiv.org/abs/math/0202250

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arXiv