Integer Powers of Anti-Bidiagonal Hankel Matrices

被引：0
作者：
Jo˜ao Lita da Silva
机构：
[1] NOVA University of Lisbon,Department of Mathematics and GeoBioTec Faculty of Sciences and Technology
来源：
Indian Journal of Pure and Applied Mathematics | 2018年 / 49卷
关键词：
Hankel matrices; anti-bidiagonal matrices; Chebyshev polynomials;
D O I：
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中图分类号：
学科分类号：
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：11
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