A new type of Sylvester-Kac matrix and its spectrum

被引：18

作者：

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

Kilic, Emrah ^{[3
]}

机构：

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

[2] Univ Primorska, FAMNIT, Koper, Slovenia

[3] TOBB Univ Econ & Technol, Math Dept, TR-06560 Ankara, Turkey

来源：

LINEAR & MULTILINEAR ALGEBRA | 2021年 / 69卷 / 06期

关键词：

Sylvester– Kac matrix; determinant; eigenvalues;

D O I：

10.1080/03081087.2019.1620673

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The Sylvester-Kac matrix, sometimes known as Clement matrix, has many extensions and applications throughout more than a century of its existence. The computation of the eigenvalues or even the determinant have always been challenging problems. In this paper, we aim the introduction of a new family of a Sylvester-Kac type matrix and evaluate the corresponding spectrum. As a consequence, we establish a formula for the determinant.

引用

页码：1072 / 1082

页数：11

共 20 条

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