Singular M-matrices which may not have a nonnegative generalized inverse

A matrix A ∈ ℝn×n is a GM-matrix if A = sI − B, where 0 < ρ(B) ≤ s and B ∈WPFn i.e., both B and Bthave ρ(B) as their eigenvalues and their corresponding eigenvector is entry wise nonnegative. In this article,we consider a generalization of a subclass of GM-matrices having a nonnegative core nilpo...

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Bibliographic Details
Main Authors: Sushama Agrawal N., Premakumari K., Sivakumar K.C.
Format: Article
Language:English
Published: De Gruyter 2014-02-01
Series:Special Matrices
Subjects:
pfn
Online Access:https://doi.org/10.2478/spma-2014-0017