An Application of Gelfand’s Formula in Approximating the Roots of Polynomials
Abstract
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
Fields of Study & Subjects
Matrix Theory and Algorithms
Mathematical functions and polynomials
Advanced Optimization Algorithms Research
Publication details
- Journal / source
- Experimental Mathematics
- Publisher
- Informa UK Limited
- Pages
- 1–13
- Publication date
- 21 September 2026
- Language
- EN