Simple polynomial equations over (m x m)-matrices
Abstract
Let m be any integer ≥ 3 . We consider the polynomial equation Xn+an-1·Xn-1+···+a1·X+a0·I=O,over (m x m)-matrices X with the real entries, where I is the identity matrix, O is the null matrix, ai ∈ ℝ for each i and n ≥ 1. We discuss its solution set S supplied with the natural Euclidean topology.In particular, we describe the solution set S for m=3 and calculate its dimension.
Fields of Study & Subjects
Matrix Theory and Algorithms
Polynomial and algebraic computation
Advanced Optimization Algorithms Research
Publication details
- Journal / source
- Applied General Topology
- Volume
- 27
- Issue
- 2
- Pages
- 25707–25707
- Publication date
- 3 June 2026
- Language
- EN