COMBINATORIAL PROPERTIES OF GENERALIZED M-MATRICES

被引：1
|
作者：
Saha, Manideepa [1 ]
Bandhopadhay, Sriparna [2 ]
机构：
[1] Natl Inst Technol Meghalaya, Dept Math, Shillong 793003, Meghalaya, India
[2] Indian Inst Technol Guwahati, Dept Math, Gauhati 781039, India
来源：
ELECTRONIC JOURNAL OF LINEAR ALGEBRA | 2015年 / 30卷
关键词：
Preferred basis; Quasi-preferred basis; Height characteristic; Level characteristic; NULLSPACE;
D O I：
10.13001/1081-3810.1974
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
An M-V-matrix has the form A = sI - B with s >= rho(B) and B-k is entrywise nonnegative for all sufficiently large integers k. In this paper, the existence of a preferred basis for a singular M-V-matrix A = sI - B with index(B) <= 1 is proven. Some equivalent conditions for the equality of the height and level characteristics of A are studied. Well structured property of the reduced graph of A is discussed. Also possibility of the existence of preferred basis for another generalization of M-matrices, known as GM-matrices, is studied.
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页码：550 / 576
页数：27
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