On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements \(1, 1, 1, \ldots , 1; - 1, - 1, - 1, \ldots , - 1\) in neighbouring diagonals (Q2518655)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements \(1, 1, 1, \ldots , 1; - 1, - 1, - 1, \ldots , - 1\) in neighbouring diagonals |
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On computing of arbitrary integer powers of even order anti-tridiagonal matrices with zeros in main skew diagonal and elements \(1, 1, 1, \ldots , 1; - 1, - 1, - 1, \ldots , - 1\) in neighbouring diagonals (English)
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16 January 2009
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The author derives the general expression of the \(l\)th power (\(l\in \mathbb{N}\)) for one type of anti-tridiagonal matrices of even order.
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anti-tridiagonal matrices
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eigenvalues
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eigenvectors
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Chebyshev polynomials
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