Convergence of infinite products of matrices and inner-outer iteration schemes.
Periodic coprime matrix fraction decompositions.
Parallel, synchronous and asynchronous two-stage multisplitting methods.
Reachability indices of positive linear systems.
Subdirect sums of -strictly diagonally dominant matrices.
Subdirect sums of nonsingular -matrices and of their inverses.
Monomial subdigraphs of reachable and controllable positive discrete-time systems
A generic structure of reachable and controllable positive linear systems is given in terms of some characteristic components (monomial subdigraphs) of the digraph of a non-negative a pair. The properties of monomial subdigraphs are examined and used to derive reachability and controllability criteria in a digraph form for the general case when the system matrix may contain zero columns. The graph-theoretic nature of these criteria makes them computationally more efficient than their known equivalents....
Generalized Bezoutian for a periodic collection of rational matrices
A Brauer’s theorem and related results
Given a square matrix A, a Brauer’s theorem [Brauer A., Limits for the characteristic roots of a matrix. IV. Applications to stochastic matrices, Duke Math. J., 1952, 19(1), 75–91] shows how to modify one single eigenvalue of A via a rank-one perturbation without changing any of the remaining eigenvalues. Older and newer results can be considered in the framework of the above theorem. In this paper, we present its application to stabilization of control systems, including the case when the system...
Characterization of α1 and α2-matrices
This paper deals with some properties of α1-matrices and α2-matrices which are subclasses of nonsingular H-matrices. In particular, new characterizations of these two subclasses are given, and then used for proving algebraic properties related to subdirect sums and Hadamard products.
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