INTEGER POWERS OF ANTI-BIDIAGONAL HANKEL MATRICES

被引：1

作者：

da Silva, Joao Lita ^{[1
]}

机构：

[1] NOVA Univ Lisbon, Fac Sci & Technol, Dept Math & GeoBioTec, P-2829516 Quinta Da Torre, Caparica, Portugal

来源：

INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS | 2018年 / 49卷 / 01期

关键词：

Hankel matrices; anti-bidiagonal matrices; Chebyshev polynomials; TRIDIAGONAL MATRICES; LINEAR COMBINATION; ZEROS;

D O I：

10.1007/s13226-018-0256-9

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In this paper we derive a general expression for integer powers of real upper and lower anti-bidiagonal matrices with constant anti-diagonals using Chebyshev polynomials. An explicit formula for the inverse of these matrices is also provided.

引用

页码：87 / 98

页数：12

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