Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 687-716
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R. Coleman. Constructing real canonical forms of Hamiltonian matrices with two imaginary eigenvalues. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 3, pp. 687-716. http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a3/
@article{FPM_1999_5_3_a3,
author = {R. Coleman},
title = {Constructing real canonical forms of {Hamiltonian} matrices with two imaginary eigenvalues},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {687--716},
year = {1999},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a3/}
}
TY - JOUR
AU - R. Coleman
TI - Constructing real canonical forms of Hamiltonian matrices with two imaginary eigenvalues
JO - Fundamentalʹnaâ i prikladnaâ matematika
PY - 1999
SP - 687
EP - 716
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a3/
LA - ru
ID - FPM_1999_5_3_a3
ER -
%0 Journal Article
%A R. Coleman
%T Constructing real canonical forms of Hamiltonian matrices with two imaginary eigenvalues
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 1999
%P 687-716
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/FPM_1999_5_3_a3/
%G ru
%F FPM_1999_5_3_a3
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.
