On 3-matrix factorization of polynomials

• Date: 2026
• Main Author: Fomatati, Yves Baudelaire
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2026
• Subjects: \(3\)-matrix factorizations; polynomial; multiplicative tensor product; 15A23; 18A05
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2228
• Journal Title: Algebra and Discrete Mathematics

Let \(R=K[x_{1},x_{2},\cdots, x_{r}]\) and \(S=K[y_{1},y_{2},\cdots, y_{s}],\) where \(K\) is a field. In this paper, we propose a method showing how to obtain \(3\)-matrix factors for a given polynomial using either the Doolittle or the Crout decomposition techniques that we apply to matrices whose...