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
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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

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    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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