Intervals of certain classes of Z-matrices
Journal Title: Discussiones Mathematicae - General Algebra and Applications - Year 2014, Vol 34, Issue 1
Abstract
Let A and B be M-matrices satisfying A ≤ B and J = [A, B] be the set of all matrices C such that A ≤ C ≤ B, where the order is component wise. It is rather well known that if A is an M-matrix and B is an invertible Mmatrix and A ≤ B, then aA + bB is an invertible M-matrix for all a, b > 0. In this article, we present an elementary proof of a stronger version of this result and study corresponding results for certain other classes as well. Keywords: interval matrix, M-matrix, N-matrix, N0-matrix, nonnegativity. 2010 Mathematics Subject Classification: 15A48, 15A45.
Authors and Affiliations
M. Kannan, K. Sivakumar
Keywords
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