Orthogonal Root Matrix: Systematic Matrix Representation of Multi-Valued Polynomial Roots
Abstract
This work presents the Orthogonal Root Matrix, a method developed by Abdullah Baran in 2009 for systematically representing multi-valued roots of polynomials as diagonal matrices. The method arranges roots symmetrically and reproducibly, capturing all possible values, and provides a computation-ready framework applicable to both real and complex roots.
Fields of Study & Subjects
Mathematical and Computational Methods
Matrix Theory and Algorithms
Polynomial and algebraic computation
Publication details
- Journal / source
- Zenodo (CERN European Organization for Nuclear Research)
- Publication date
- 3 March 2026
- Language
- EN