Intervals of Certain Classes of Z-matrices
نویسندگان
چکیده
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 M matrix 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.
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تاریخ انتشار 2014