Polynomial eigenvalue problems with Hamiltonian structure.
Positivity and stability of fractional descriptor time-varying discrete-time linear systems
The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor timevarying discrete-time linear systems. A method for computing solutions of fractional systems is proposed. Necessary and sufficient conditions for the positivity of these systems are established.
Real equivalence of complex matrix pencils and complex projections of real Segre varieties.
Separable characteristic polynomials of pencils and property .
Sharp lower bounds for the dimension of linearizations of matrix polynomials.
Singular Generalised Autunomous Linear Differential Systems
Smith forms of palindromic matrix polynomials.
Solution properties of linear descriptor (singular) matrix differential systems of higher order with (non-) consistent initial conditions.
Some remarks on matrix pencil completion problems
The matrix pencil completion problem introduced in [J. J. Loiseau, S. Mondié, I. Zaballa, and P. Zagalak: Assigning the Kronecker invariants to a matrix pencil by row or column completions. Linear Algebra Appl. 278 (1998)] is reconsidered and the latest results achieved in that field are discussed.
Spectrum localization of regular matrix polynomials and functions.
Strongly stable gyroscopic systems.
Structured polynomial eigenproblems related to time-delay systems.
The Collatz-Wielandt quotient for pairs of nonnegative operators
In this paper we consider two versions of the Collatz-Wielandt quotient for a pair of nonnegative operators that map a given pointed generating cone in the first space into a given pointed generating cone in the second space. If the two spaces and two cones are identical, and is the identity operator, then one version of this quotient is the spectral radius of . In some applications, as commodity pricing, power control in wireless networks and quantum information theory, one needs to deal with...
The Drazin inverse through the matrix pencil approach and its application to the study of generalized linear systems with rectangular or square coefficient matrices.
The equation and the dimension of *congruence orbits.
-pencils.
Алгоритм вычисления спектральной структуры сингулярного линейного пучка матриц
Вычисление инвариантных подпространств регулярного линейного пучка матриц.
Решение частичной проблемы собственных значений регулярного пучка матриц
Спектральные задачи для пучков полиноминальных матриц. Методы и алгоритмы. V