Polynomials that Preserve Nonnegative Matrices of Order Two
Abstract
A known characterization for entire functions that preserve all nonnegative matrices of order two is shown to characterize polynomials that preserve nonnegative matrices of order two. Equivalent conditions are derived and used to prove that P3 ⊂ P2, which was previously unknown. A new characterization is given for polynomials that preserve nonnegative circulant matrices of order two.
Fields of Study & Subjects
Matrix Theory and Algorithms
Holomorphic and Operator Theory
Mathematics and Applications
Publication details
- Journal / source
- Mathematics Exchange
- Volume
- 16
- Issue
- 1
- Pages
- 58–65
- Publication date
- 3 March 2026
- Language
- EN