id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
ejpam-3574	Mouhamadou, Dosso; Arouna, Traore G. Y.; Brou, Jean-Claude Koua	Rank-k perturbation of Hamiltonian Systems with Periodic Coefficients and Applications	2019	27	.pdf	application/pdf	8932	448	78	Jordan canonical form of rank-k perturbation of a symplectic matrix Let W,J ∈ R2N×2N be two matrices and λ ∈ C such that J is skew-symmetric, W is J-symplectic and λ an eigenvalue of W . Suppose that W has the following Jordan canonical form : l1⊕ j=1 Jn1(λ) ⊕  l2⊕ j=1 Jn2(λ) ⊕ · · · ⊕  lm⊕ j=1 Jnm(λ) ⊕ J , where n1 > · · · > nm, m ∈ N∗ such that the algebraic multiplicity a of λ is of the form a = m∑ j=1 ljnj and J contains all the forms in Jordan blocks associated with eigenvalues of W that are different from λ.	cache/ejpam-3574.pdf	txt/ejpam-3574.txt