Affiliation:
1. Nevşehir Hacı Bektaş Veli University, Department of Mathematics, 50300 Nevşehir, Turkey
Abstract
Hessenberg matrices arise in various mathematical and engineering applications due to their special properties and efficient algorithms for solving linear systems. This study aims to compute the determinants and inverses of generalized lower Hessenberg matrices composed of conditional polynomial sequences which are defined based on specific conditions and exhibit intriguing behavior. Moreover, we present more generalized results compared to some earlier works using the factorization properties of some special matrices and some analytical methods.
Publisher
Valahia University of Targoviste - Journal of Science and Arts