On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1,\(\dots \),1; -1, -1, -1,\(\dots \),-1 in neighbouring diagonals (Q1015782)
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scientific article; zbMATH DE number 5550274
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1,\(\dots \),1; -1, -1, -1,\(\dots \),-1 in neighbouring diagonals |
scientific article; zbMATH DE number 5550274 |
Statements
On computing of arbitrary positive integer powers of odd order anti-tridiagonal matrices with zeros in main skew diagonal and elements 1,1,1,\(\dots \),1; -1, -1, -1,\(\dots \),-1 in neighbouring diagonals (English)
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30 April 2009
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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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integer power of a matrix
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numerical examples
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