The determinant and a factorization of a Toeplitz matrix with some type of Horadam numbers entries

被引：1

作者：

da Fonseca, Carlos M. ^{[1
,2
]}

Kizilates, Can ^{[3
]}

Terzioglu, Nazlihan ^{[3
]}

机构：

[1] Kuwait Coll Sci & Technol, Safat 13133, Kuwait

[2] Univ Deusto, Chair Computat Math, Bilbao 48007, Spain

[3] Zonguldak Bulent Ecevit Univ, Dept Math, TR-67100 Zonguldak, Turkiye

来源：

LOGIC JOURNAL OF THE IGPL | 2024年

关键词：

Toeplitz matrix; Horadam sequence; Fibonacci numbers; Pentadiagonal matrix; Inverse matrix; 2000 Mathematics Subject Classification;

D O I：

10.1093/jigpal/jzae065

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this note, we define a symmetric Toeplitz matrix whose entries are from a particular Horadam sequence. We provide the determinant, the inverse and a factorization for such matrices and their special cases. These matrices are always nonsingular and their inverses are pentadiagonal matrices.

引用

页数：13

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