基于二元多项式族的带状Toeplitz矩阵的行列式计算

IF 1 4区数学 Q1 MATHEMATICS

Applicable Analysis and Discrete Mathematics Pub Date : 2023-01-01 DOI:10.2298/aadm210927014a

Abdullah Alazemi, E. Kılıç

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引用次数: 0

摘要

我们定义了三种带状Toeplitz矩阵via，其上下带宽分别为x?y和? ? ?。利用生成函数法和递归关系，通过二元Tribonacci和Delannoy多项式，给出了三种带状Toeplitz矩阵的行列式求值。此外，每种带状Toeplitz矩阵的扰动版本被一个2 ?2 .将右上角的一般方阵显式计算。

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Determinant evaluation of banded Toeplitz matrices via bivariate polynomial families

We define three kinds banded Toeplitz matrices via with the upper and lower bandwidths ??x? and ??y?. The determinant evaluation is explicitly given for three kinds banded Toeplitz matrices via bivariate Tribonacci and Delannoy polynomials by using generating function approach and recurrence relations. Moreover perturbed versions of each kinds of the banded Toeplitz matrices by a 2 ? 2 general square matrix at the upper right corner will be explicitly computed.

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来源期刊

Applicable Analysis and Discrete Mathematics MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

2.40

自引率

11.10%

发文量

审稿时长

>12 weeks

期刊介绍： Applicable Analysis and Discrete Mathematics is indexed, abstracted and cover-to cover reviewed in: Web of Science, Current Contents/Physical, Chemical & Earth Sciences (CC/PC&ES), Mathematical Reviews/MathSciNet, Zentralblatt für Mathematik, Referativny Zhurnal-VINITI. It is included Citation Index-Expanded (SCIE), ISI Alerting Service and in Digital Mathematical Registry of American Mathematical Society (http://www.ams.org/dmr/).