Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices (Q2166700)
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| Language | Label | Description | Also known as |
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| English | Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices |
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Positive integer powers of certain tridiagonal matrices and corresponding anti-tridiagonal matrices (English)
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24 August 2022
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Summary: In this paper, we firstly derive a general expression for the entries of the \(m\) th \((m\in\mathbb{N})\) power for two certain types of tridiagonal matrices of arbitrary order. Secondly, we present a method for computing the positive integer powers of the anti-tridiagonal matrix corresponding to these matrices. Also, we give Maple 18 procedures in order to verify our calculations.
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tridiagonal matrices
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positive integer powers
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