The positive definiteness of an even-degree homogeneous polynomial form f (x) plays an
important role in the stability study of nonlinear autonomous systems via Lyapunov's direct …

The eigenvalue localization problem is very closely related to the H-matrix theory. The most
elegant example of this relation is the equivalence between the Geršgorin theorem and the …

H-tensor is a new developed concept in tensor analysis and it is an extension of H-matrix
and M-tensor. Based on the spectral theory of nonnegative tensors, several equivalent …

Let M (A) denote the comparison matrix of a square H-matrix A, that is, M (A) is an M-matrix.
H-matrices such that their comparison matrices are nonsingular are well studied in the …

A new class of matrices, called Dashnic–Zusmanovich type (DZ-type) matrices, which is
similar to, but different from Dashnic–Zusmanovich (DZ) matrices, is introduced and proved …

This paper suggests a unifying framework for matrix spectra localizations that originate from
different generalizations of strictly diagonally dominant matrices. Although a lot of results of …

Subdirect sums of S-strictly diagonally dominant matrices Page 1 ELA SUBDIRECT SUMS OF
S-STRICTLY DIAGONALLY DOMINANT MATRICES ∗ RAFAEL BRU†, FRANCISCO …

H-matrices appear in many areas of science and engineering, eg, in the solution of the
linear complementarity problem (LPC) in optimization theory and in the solution of large …

In this article, a generalization of a known result about the subdirect sum of two S-SDD
(strictly diagonally dominant) matrices is obtained for Σ-SDD matrices. The class of Σ-SDD …

A matrix with positive row sums and all its off‐diagonal elements bounded above by their
corresponding row averages is called a B‐matrix by JM Peña in References (SIAM J. Matrix …