2024/11/20 by Narges Haj Aboutalebi, Shaun Fallat, Aboutalebi, Narges Haj +7
Computer Science · Mathematics · #Polynomial and algebraic computation #Matrix Theory and Algorithms #Iterative Methods for Nonlinear Equations
paper · pdf · doi:10.48550/arxiv.2412.10375
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 investigated.