In many large scale scientific or engineering computations, ranging from computing the
frequency response of a circuit to the earthquake response of a buildingto the energy levels …

Differential-algebraic equations are a widely accepted tool for the modeling and simulation
of constrained dynamical systems in numerous applications, such as mechanical multibody …

The total number of such permutations is equal to (n—1)(«—2)/2. Some of them are rotations
(isomorphic to the addition of a constant to the residues modn). But it is not clear what …

We derive versal deformations of the Kronecker canonical form by deriving the tangent
space and orthogonal bases for the normal space to the orbits of strictly equivalent matrix …

We present a combination of two algorithms that accurately calculate multiple roots of
general polynomials. Algorithm I transforms the singular root-finding into a regular nonlinear …

A standard way of dealing with a matrix polynomial P(λ) is to convert it into an equivalent
matrix pencil—a process known as linearization. For any regular matrix polynomial, a new …

We introduce a new family of strong linearizations of matrix polynomials—which we call
“block Kronecker pencils”—and perform a backward stability analysis of complete …

This work focuses on nonsquare matrix pencils A-λB, where A,B∈\calM^m*n and m>n.
Traditional methods for solving such nonsquare generalized eigenvalue problems (A …

describe how to find the general solution of the matrix equation XA+ AXT= 0, with A∈ Cn× n,
which allows us to determine the dimension of its solution space. This result has immediate …

Linearizations of singular matrix polynomials and the recovery of minimal indices Page 1 ELA
LINEARIZATIONS OF SINGULAR MATRIX POLYNOMIALS AND THE RECOVERY OF MINIMAL …