RESULTS ON THE GENERALIZED NUMERICAL RANGES IN MAX ALGEBRA

作     者：Aboutalebi, Narges Haj Fallat, Shaun Peperko, Aljoša Taghizadeh, Davod Zahraei, Mohsen 

作者机构：Department of Mathematics Shahrood Branch Islamic Azad University Shahrood Iran Department of Mathematics and Statistics University of Regina SK Canada Faculty of Mechanical Engineering University of Ljubljana Aškerčeva 6 LjubljanaSI-1000 Slovenia Institute of Mathematics Physics and Mechanical Jadranska 19 Ljubljana1000 Slovenia Department of Mathematics Ahvaz Branch Islamic Azad University Ahvaz Iran 

出 版 物：《arXiv》 (arXiv)

年 卷 期：2024年

核心收录：

主　　题：Matrix algebra 

摘      要：Let n and k be two positive integers with k ≤ n and C an n × n matrix with nonnegative entries. In this paper, the rank-k numerical range in the max algebra setting is introduced and studied. The related notions of the max joint k-numerical range and the max joint C-numerical range of an entry-wise nonnegative matrix and an m-tuple of nonnegative matrices are also introduced. Some interesting algebraic properties of these concepts are *** Codes Primary 39B82, Secondary 44B20, 46C05 Copyright © 2024, The Authors. All rights reserved.