Integer Powers of Anti-Bidiagonal Hankel Matrices

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish
Pages (from-to)87-98
Number of pages12
JournalIndian Journal of Pure and Applied Mathematics
Volume49
Issue number1
DOIs
Publication statusPublished - 1 Mar 2018

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Hankel Matrix
Integer
Chebyshev Polynomials
Explicit Formula
Polynomials

Keywords

  • anti-bidiagonal matrices
  • Chebyshev polynomials
  • Hankel matrices

Cite this

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title = "Integer Powers of Anti-Bidiagonal Hankel Matrices",
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Integer Powers of Anti-Bidiagonal Hankel Matrices. / Silva, João Lita da.

In: Indian Journal of Pure and Applied Mathematics, Vol. 49, No. 1, 01.03.2018, p. 87-98.

Research output: Contribution to journalArticle

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AU - Silva, João Lita da

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AB - 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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