论文信息 - Some results concerning invertible Morishima and anti-Morishima matrices whose associated digraphs are trees

Some results concerning invertible Morishima and anti-Morishima matrices whose associated digraphs are trees

Abstract This paper addresses the following questions: Given that A is an invertible Morishima or anti-Morishima matrix, under what conditions will A -1 be a Morishima or anti-Morishima matrix? Also, given the associated digraph of A and the fact that A , A -1 are Morishima or anti-Morishima matrices, what can be said about the digraph of A -1 ? A class of matrices is introduced where there questions are investigated.

Gerry Wiener

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