Integer Powers of Anti-Bidiagonal Hankel Matrices |
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Authors: | Jo˜ao Lita da Silva |
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Institution: | 1.Department of Mathematics and GeoBioTec Faculty of Sciences and Technology,NOVA University of Lisbon,Caparica,Portugal |
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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. |
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