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
[21]   Inverses of generalized Hessenberg matrices [J].
Abderraman Marrero, J. ;
Rachidi, M. .
LINEAR & MULTILINEAR ALGEBRA, 2015, 63 (03) :559-570
[22]   Convertible Subspaces of Hessenberg-Type Matrices [J].
da Cruz, Henrique F. ;
Rodrigues, Ilda Inacio ;
Serodio, Rogerio ;
Simoes, Alberto ;
Velhinho, Jose .
MATHEMATICS, 2017, 5 (04)
[23]   On inverses of infinite Hessenberg matrices [J].
Abderraman Marrero, J. ;
Tomeo, V. ;
Torrano, E. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 275 :356-365
[24]   POSITIVE FUNCTIONALS AND HESSENBERG MATRICES [J].
Lasserre, Jean B. ;
Putinar, Mihai .
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2019, 147 (03) :1097-1108
[25]   Similarity of perturbations of Hessenberg matrices [J].
Robert, L .
JOURNAL OF OPERATOR THEORY, 2005, 54 (01) :125-136
[26]   NONSPARSE COMPANION HESSENBERG MATRICES [J].
Borobia, Alberto ;
Canogar, Roberto .
ELECTRONIC JOURNAL OF LINEAR ALGEBRA, 2021, 37 :193-210
[27]   Some results on determinants and inverses of nonsingular pentadiagonal matrices [J].
Abderraman Marrero, J. ;
Tomeo, V. .
JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2015, 275 :447-455
[28]   On sums of second order linear recurrences by Hessenberg matrices [J].
Kilic, E. ;
Tasci, D. .
ROCKY MOUNTAIN JOURNAL OF MATHEMATICS, 2008, 38 (02) :531-544
[29]   Preconditioners for ill-posed Toeplitz matrices with differentiable generating functions [J].
Estatico, C. .
NUMERICAL LINEAR ALGEBRA WITH APPLICATIONS, 2009, 16 (03) :237-257
[30]   Hessenberg matrices and the Pell and Perrin numbers [J].
Yilmaz, Fatih ;
Bozkurt, Durmus .
JOURNAL OF NUMBER THEORY, 2011, 131 (08) :1390-1396
12345