TL;DR
This paper presents a counterexample related to conditions under which the square of a matrix exhibits a specific positivity property, challenging existing assumptions in matrix theory.
Contribution
It provides a counterexample that refutes certain claims about sufficient conditions for a matrix's square to be a $P_0^+$-matrix.
Findings
Counterexample disproves previous statements
Challenges assumptions about $Q^2$-scalings
Refines understanding of matrix positivity properties
Abstract
We provide a counterexample to some statements dealing with a sufficient property for the square of a matrix to be a -matrix.
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Taxonomy
TopicsMatrix Theory and Algorithms · Mathematical Inequalities and Applications · Advanced Optimization Algorithms Research