Intervals of certain classes of Z-matrices
M. Rajesh Kannan ; K.C. Sivakumar
Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014), p. 85-93 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 2014-01-01
EUDML-ID : urn:eudml:doc:270177 
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M. Rajesh Kannan; K.C. Sivakumar. Intervals of certain classes of Z-matrices. Discussiones Mathematicae - General Algebra and Applications, Tome 34 (2014) pp. 85-93. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1216/

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