Abstract. In this paper, we study the perturbation bound for the spectral radius of an mthorder n-dimensional non-negative tensor A. The main contribution of this paper is to show that when A is perturbed to a non-negative tensor à by ∆A, the absolute difference between the spectral radii of A and à is bounded by the largest magnitude of the ratio of the i-th component of ∆Axm−1 and the i-th co...

For example, the pentagon is strongly regular with parameters (v, k, λ, μ) = (5, 2, 0, 1). One easily verifies that a graph G is strongly regular with parameters (v, k, λ, μ) if and only if its complement G is strongly regular with parameters (v, v−k− 1, v− 2k+μ− 2, v−2k+λ). The line graph of the complete graph of order m, known as the triangular graph T (m), is strongly regular with parameters...

The paper addresses the stability margin assessment for linear systems under interval parameter uncertainties. The original robust stability problem is initially transformed into an equivalent problem of estimating the eigenvalues ranges of matrices whose elements are non-linear functions of independent interval parameters. A new algorithm for finding the exact value of stability margin (within...

Unlike the original Cloude–van Zyl decomposition of reflection symmetric polarimetric synthetic aperture radar (polSAR) data, a recently suggested version for full/quad pol data relies on Cloude–Pottier mean alpha angle ( ${\bar {\alpha }}$ </inline-fo...

A graph G is singular of nullity (> 0), if its adjacency matrix A is singular, with the eigenvalue zero of multiplicity . A singular graph having a 0-eigenvector, x, with no zero entries, is called a core graph.We place particular emphasis on nut graphs, namely the core graphs of nullity one. Through symmetry considerations of the automorphism group of the graph, we study relations among the en...

Abstract In this paper we analyze the stability of problem performing a rational QZ step with shift that is an eigenvalue given regular pencil $$H-\lambda K$$ H - λ K in unreduced Hessenberg–Hessenberg form. exact arithmetic, backward m...

We study the homogeneous Schwarz problem for Douglis analytic functions. consider two-dimensional matrices J with a multiple eigenvalue and eigenvector, which is not proportional to real vector. obtain sufficient condition matrix under there exist two linearly independent solutions of defined in certain domain D. present an example.

An approach to schedule development in project management is proposed based on models and methods of idempotent algebra. The approach offers a way to represent various types of precedence relationships among activities in projects as linear vector equations in terms of an idempotent semiring. As a result, many issues in project scheduling reduce to solving computational problems in the idempote...

This paper proposes techniques used in finding a power system operating point that is both economically optimal and stable in the small-signal sense. To make the system small-signal stable, we should choose a power system operating point such that changes in system state variables due to small disturbances die out quickly. Thus, we need to know how changes in the power system operating point af...