Determinants of some Hessenberg matrices with generating functions

被引：5
作者：
Leerawat, Utsanee [1 ]
Daowsud, Katthaleeya [1 ]
机构：
[1] Kasetsart Univ, Fac Sci, Dept Math, 50 Ngam Wong Wan Rd, Bangkok 10900, Thailand
来源：
SPECIAL MATRICES | 2023年 / 11卷 / 01期
关键词：
determinant; Hessenberg matrix; generating function; ALGORITHM;
D O I：
10.1515/spma-2022-0170
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper, we derive some relationships between the determinants of some special lower Hessenberg matrices whose entries are the terms of certain sequences and the generating functions of these sequences. Moreover, our results are generalizations of the earlier results from previous researches. Furthermore, interesting examples of the determinants of some special lower Hessenberg matrices are presented.
引用
收藏
页码：1 / 8
页数：8
相关论文
共 50 条
[31]   Accurate determinants of some classes of matrices [J].
Orera, H. ;
Pena, J. M. .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2021, 630 :1-14
[32]   Some identities for determinants of structured matrices [J].
Basor, EL ;
Ehrhardt, T .
LINEAR ALGEBRA AND ITS APPLICATIONS, 2002, 343 :5-19
[33]   Jacobsthal Numbers and Associated Hessenberg Matrices [J].
Oteles, Ahmet ;
Karatas, Zekeriya Y. ;
Zangana, Diyar O. Mustafa .
JOURNAL OF INTEGER SEQUENCES, 2018, 21 (02)
[34]   Majorization via generalized Hessenberg matrices [J].
Hwang, SG .
LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 292 (1-3) :127-138
[35]   On new algorithms for inverting Hessenberg matrices [J].
Abderraman Marrero, J. ;
Rachidi, M. ;
Tomeo, V. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2013, 252 :12-20
[36]   Determinants of Matrices Associated with Incidence Functions on Posets [J].
Shaofang Hong ;
Qi Sun .
Czechoslovak Mathematical Journal, 2004, 54 :431-443
[37]   Determinants of matrices associated with incidence functions on posets [J].
Hong, SF ;
Sun, Q .
CZECHOSLOVAK MATHEMATICAL JOURNAL, 2004, 54 (02) :431-443
[38]   Asymptotics of the Coefficients of Some Generating Functions [J].
T. V. Andreeva ;
Y. Liu .
Moscow University Computational Mathematics and Cybernetics, 2025, 49 (1) :1-8
[39]   ON THE GENERALIZED FIBONACCI AND PELL SEQUENCES BY HESSENBERG MATRICES [J].
Kilic, E. ;
Tasci, D. .
ARS COMBINATORIA, 2010, 94 :161-174
[40]   Determinants of Circulant Matrices with Some Certain Sequences [J].
Altinisik, Ercan ;
Buyukkose, Serife .
GAZI UNIVERSITY JOURNAL OF SCIENCE, 2015, 28 (01) :59-63
12345