FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1999, VOLUME 5, NUMBER 3, PAGES 687-716

Constructing real canonical forms of Hamiltonian matrices with two imaginary eigenvalues

R. Coleman

Abstract

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If $A$ is a Hamiltonian matrix and $P$ a symplectic matrix then the product $P^{-1}AP$ 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 $P^{-1}AP$ has a particularly simple form, a canonical form.

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Last modified: November 11, 1999