A note on certainmatrices with h(x) - Fibonacci quaternion polynomials

被引：5

作者：

Catarino, P. ^{[1
]}

机构：

[1] Univ Trs Os Montes & Alto Douro, Dept Math, Vila Real, Portugal

来源：

JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS | 2016年 / 22卷 / 02期

关键词：

Fibonacci polynomials; h(x) - Fibonacci quaternion polynomials; g - circulant matrix; tridiagonal matrix; LUCAS-NUMBERS ENTRIES; K-HORADAM NUMBERS; CIRCULANT MATRICES; DIFFERENTIAL-EQUATIONS; CLASSICAL FIBONACCI; SPECTRAL NORMS;

D O I：

10.1080/10236198.2015.1092526

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we consider a g - circulant, right circulant, left circulant and a special kind of a tridiagonal matrices whose entries are h(x) - Fibonacci quaternion polynomials. We present the determinant of these matrices and with the tridiagonal matrices we show that the determinant is equal to the nth term of the h(x) - Fibonacci quaternion polynomial sequences.

引用

页码：343 / 351

页数：9

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