We show that perturbations of polynomial matrices of full normal-rank can be analyzed via
the study of perturbations of companion form linearizations of such polynomial matrices. It is …

We study how small perturbations of a skew-symmetric matrix pencil may change its
canonical form under congruence. This problem is also known as the stratification problem …

We study how small perturbations of general matrix polynomials may change their
elementary divisors and minimal indices by constructing the closure hierarchy (stratification) …

We study how elementary divisors and minimal indices of a skew-symmetric matrix
polynomial of odd degree may change under small perturbations of the matrix coefficients …

SYMMETRIC MATRIX PENCILS: CODIMENSION COUNTS AND THE SOLUTION OF A PAIR OF
MATRIX EQUATIONS∗ 1. Introduction. The goal of this Page 1 ELA SYMMETRIC MATRIX …

We investigate the changes of the canonical structure information under small perturbations
for a system pencil associated with a (generalized) linear time-invariant state-space system …

We give new proofs of several known results about perturbations of matrix pencils. In
particular, we give a direct and constructive proof of Andrzej Pokrzywa's theorem (1983), in …

Miniversal deformations for pairs of skew-symmetric matrices under congruence are
constructed. To be precise, for each such a pair (A, B) we provide a normal form with a …

We study how small perturbations of matrix polynomials may change their elementary
divisors and minimal indices by constructing the closure hierarchy graphs (stratifications) of …

For each pair of complex symmetric matrices (A, B) we provide a normal form with a minimal
number of independent parameters, to which all pairs of complex symmetric matrices (A˜ …