The purpose of this paper is to show how Gelfand’s formula and balancing can be used to improve the upper and lower bounds of the spectrum of a companion matrix associated with a given real or complex polynomial. Examples and other related ideas are provided. This inclusion region can be significantly improved if we know a good upper approximation
No takes yet. Share an insight, caveat, or question.
Hall et al. (2026) studied this question.
Synapse has enriched 5 closely related papers on similar clinical questions. Consider them for comparative context: