A modified quaternionic Weierstrass method

• Author(s): Falcão, M. I. ; Miranda, Fernando ; Severino, Ricardo ; Soares, M. J.
• Date: 2022
• Persistent ID: https://hdl.handle.net/1822/82861
• Origin: RepositóriUM - Universidade do Minho
• Subject(s): Polynomial computation; Quaternions; Zeros
• Document Type: Conference paper
• Language: English
• Contributor(s): Universidade do Minho

Description

In this paper we focus on the study of monic polynomials whose coefficients are quaternions located on the left-hand side of the powers, by addressing three fundamental polynomial problems: factor, evaluate and deflate. An algorithm combining a deflaction procedure with a Weierstrass-like quaternionic method is presented. Several examples illustrate the proposed approach.