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

View as HTML     View as gif image    View as LaTeX source

If $A$ is a Hamiltonian matrix and $P$ a symplectic matrix then 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.

All articles are published in Russian.

Location: http://mech.math.msu.su/~fpm/eng/99/993/99304h.htm
Last modified: November 11, 1999