DETERMINANTS AND INVERSES OF GENERALIZED LOWER HESSENBERG MATRICES

被引：0

作者：

Kome, Cahit ^{[1
]}

机构：

[1] Nevsehir Haci Bektas Veli Univ, Dept Math, TR-50300 Nevsehir, Turkiye

来源：

JOURNAL OF SCIENCE AND ARTS | 2024年 / 02期

关键词：

Hessenberg matrix; matrix factorization; generalized conditional polynomials; determinant; inverse; FIBONACCI;

D O I：

10.46939/J.Sci.Arts-24.2-a04

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

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.

引用

页码：285 / 294

页数：10

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