Permanent of Toeplitz-Hessenberg Matrices with Generalized Fibonacci and Lucas entries

被引：0

作者：

Belbachir, Hacene ^{[1
]}

Belkhir, Amine ^{[1
]}

Djellas, Ihab-Eddine ^{[1
,2
]}

机构：

[1] USTHB, RECITS Lab, Dept Math, POB 32, Algiers 16111, Algeria

[2] Ctr Rech Informat Sci & Tech CERIST, Ben Aknoun, Algeria

来源：

APPLICATIONS AND APPLIED MATHEMATICS-AN INTERNATIONAL JOURNAL | 2022年 / 17卷 / 02期

关键词：

Generalized Fibonacci numbers; Generalized Lucas numbers; Toeplitz-Hessenberg matrix; Permanent; Determinant; Recurrent sequences; Fibonacci sums; IDENTITIES;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present paper, we evaluate the permanent and determinant of some Toeplitz-Hessenberg matrices with generalized Fibonacci and generalized Lucas numbers as entries. We develop identi-ties involving sums of products of generalized Fibonacci numbers and generalized Lucas numbers with multinomial coefficients using the matrix structure, and then we present an application of the determinant of such matrices.

引用

页码：558 / 570

页数：14

共 50 条

[21] SINGULAR CASE OF GENERALIZED FIBONACCI AND LUCAS MATRICES
Miladinovic, Marko
Stanimirovic, Predrag
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2011, 48 (01) : 33 - 48
[22] Some Toeplitz-Hessenberg Determinant Identities for the Tetranacci Numbers
Goy, Taras
Shattuck, Mark
JOURNAL OF INTEGER SEQUENCES, 2020, 23 (06)
[23] On the spectral norms of circulant matrices with classical Fibonacci and Lucas numbers entries
Ipek, Ahmet
APPLIED MATHEMATICS AND COMPUTATION, 2011, 217 (12) : 6011 - 6012
[24] Generalized Bivariate Lucas p-Polynomials and Hessenberg Matrices
Kaygisiz, Kenan
Sahin, Adem
JOURNAL OF INTEGER SEQUENCES, 2012, 15 (03)
[25] ON THE DETERMINANTS OF PENTADIAGONAL MATRICES WITH THE CLASSICAL FIBONACCI, GENERALIZED FIBONACCI AND LUCAS NUMBERS
Ipek, A.
EURASIAN MATHEMATICAL JOURNAL, 2011, 2 (02): : 60 - 74
[26] ON THE NORMS OF CIRCULANT MATRICES WITH THE GENERALIZED FIBONACCI AND LUCAS NUMBERS
Bahsi, Mustafa
TWMS JOURNAL OF PURE AND APPLIED MATHEMATICS, 2015, 6 (01): : 84 - 92
[27] From matrix polynomial to determinant of block Toeplitz-Hessenberg matrix
Solary, Maryam Shams
NUMERICAL ALGORITHMS, 2023, 94 (03) : 1421 - 1434
[28] Two determinants with Fibonacci and Lucas entries
Kwong, Harris
APPLIED MATHEMATICS AND COMPUTATION, 2007, 194 (02) : 568 - 571
[29] On bounds for the norms of circulant matrices with the generalized Fibonacci and Lucas numbers
Sozer, Musa
Ipek, Ahmet
Kilicoglu, Oguz
ARS COMBINATORIA, 2011, 102 : 399 - 416
[30] HESSENBERG MATRICES ON FIBONACCI AND TRIBONACCI NUMBERS
Feng, Jishe
ARS COMBINATORIA, 2016, 127 : 117 - 124

← 1 2 3 4 5 →