On the construction of real canonical forms of Hamiltonian matrices whose spectrum is an imaginary pair |
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| Affiliation: | 2. Department of Cardiothoracic Surgery, Fiona Stanley Hospital, Perth, WA, Australia.;3. Department of Thoracic and Cardiovascular Surgery, University of Texas MD Anderson Cancer Center, Houston, Texas. |
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| Abstract: | If A is a Hamiltonian matrix and P a symplectic matrix, the product P−1AP is a Hamiltonian matrix. In this paper, we consider the case where the matrix A has a pair of imaginary eigenvalues and develop an algorithm which finds a matrix P such that the matrix P−1AP has a particularly simple form, a canonical form. |
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