On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots,0, 1\) in principal and \(1, 1, 1,\dots, 1\) in neighbouring diagonals. I (Q884577)
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scientific article; zbMATH DE number 5161979
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots,0, 1\) in principal and \(1, 1, 1,\dots, 1\) in neighbouring diagonals. I |
scientific article; zbMATH DE number 5161979 |
Statements
On computing of arbitrary positive integer powers for tridiagonal matrices with elements \(1, 0, 0,\dots,0, 1\) in principal and \(1, 1, 1,\dots, 1\) in neighbouring diagonals. I (English)
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6 June 2007
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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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matrix power
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numerical examples
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