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On almost semimonotone matrices with non-positive off-diagonal elements and their generalizations.

Authors :
Chauhan, Bharat Pratap
Dubey, Dipti
Source :
Linear Algebra & its Applications. Oct2024, Vol. 698, p272-294. 23p.
Publication Year :
2024

Abstract

In this paper, we examine almost (strictly) semimonotone matrices which are also either Z -matrices or matrices having Property (+ +) and show that both parts of Wendler's conjecture [22] (2019) hold for these matrices. Another important result of this paper is the characterization of copositive matrices beyond the matrices with non-positive off-diagonal elements. We discuss some interesting properties related to the structure of almost (strictly) semimonotone matrices and also present results pertaining to the existence and multiplicity of solutions to the linear complementarity problem associated with an almost strictly semimonotone matrix. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00243795
Volume :
698
Database :
Academic Search Index
Journal :
Linear Algebra & its Applications
Publication Type :
Academic Journal
Accession number :
178336295
Full Text :
https://doi.org/10.1016/j.laa.2024.06.007