On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I (Q990593)
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scientific article; zbMATH DE number 5777064
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I |
scientific article; zbMATH DE number 5777064 |
Statements
On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(- 1,0,0,\dots,0\) in principal and \(1,1,1,\dots,1\) in neighbouring diagonals. I (English)
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1 September 2010
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tridiagonal matrices
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eigenvalues
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eigenvectors
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Jordan's form
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Chebyshev polynomials
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0.99728596
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0.99679214
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0.99464715
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0.99236906
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0.9435095
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0.9376827
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0.9336884
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0.93224627
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0.92974305
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