Let A(ε) be an analytic square matrix and 0 an eigenvalue of A(0) of algebraic multiplicity
m\geq1. Then under the condition ∂∂ε\det(λIA(ε))|_(ε,λ)=(0,0)\neq0, we prove that the …

The algorithmic classification of singularities of linear differential systems via the
computation of Moser-and super-irreducible forms as introduced in [21] and [16] respectively …

In this article, we treat the turning points of singularly-perturbed linear differential systems
and reduce their parameter singularity's rank to its minimal integer value. Our approach is …

UNIVERSITY OF CALIFORNIA, IRVINE On the Mathematics of Slow Light DISSERTATION
submitted in partial satisfaction of the requirem Page 1 UNIVERSITY OF CALIFORNIA, IRVINE …

In this article, we recover singularly-perturbed linear differential systems from their turning
points and reduce the rank of the singularity in the parameter to its minimal integer value …

In this thesis, we are interested in the local analysis of singularly-perturbed linear differential
systems and completely integrable Pfaffian systems in several variables. Such systems have …

In this article, we present an algorithmic approach to the eigenvalue perturbation problem.
We show that any matrix perturbation A (ε) of an arbitrary nilpotent Jordan canonical form J …

We show that any matrix perturbation of an n× n nilpotent complex matrix is similar to a
matrix perturbation whose leading coefficient has minimal Jordan structure. Additionally, we …

arxiv:1503.09075v3 [math.CA] 14 Dec 2016 Page 1 Formal Reduction of Singularly-Perturbed
Linear Differential Systems Moulay A. Barkatou XLIM UMR 7252 ; DMI University of Limoges; …

In this article, we discuss formal invariants of singularly-perturbed linear differential systems
in neighborhood of turning points and give algorithms which allow their computation. The …