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
相关论文
共 12 条
[1]  
Grant J. A.(1983)Determination of the zeros of a linear combination of Chebyshev polynomials IMA J. Numer. Anal. 3 193-206
[2]  
Rahman A. A.(1992)Determination of the zeros of a linear combination of generalised polynomials J. Comput. Appl. Math. 42 269-278
[3]  
Grant J. A.(2011)Powers of complex persymmetric or skew-persymmetric anti-tridiagonal matrices with constant anti-diagonals Appl. Math. Comput. 217 6125-6132
[4]  
Rahman A. A.(2015)Integer powers of anti-tridiagonal matrices of the form antitridiag Comput. Math. Appl. 69 1313-1328
[5]  
Gutiérrez-Gutiérrez J.(2015)( Int. J. Comput. Math. 93 1723-1740
[6]  
da Lita Silva J.(2016), 0, Comput. Math. Appl. 72 415-426
[7]  
da Lita Silva J.(2013)), Appl. Math. Comput. 219 7075-7088
[8]  
da Lita Silva J.(2013), Appl. Math. Comput. 225 204-215
[9]  
Rimas J.(2008)ϵ ANZIAM J. 49 361-387
[10]  
Rimas J.(undefined)Integer powers of anti-tridiagonal matrices of the form antitridiag undefined undefined undefined-undefined