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.
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页码：87 / 98
页数：12
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