A bound for linear recurrence relations with unbounded order (Q814325)
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scientific article; zbMATH DE number 5003735
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A bound for linear recurrence relations with unbounded order |
scientific article; zbMATH DE number 5003735 |
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A bound for linear recurrence relations with unbounded order (English)
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6 February 2006
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Let the sequence \(\{b_n\}\) be given by \(b_n=\sum^{n-1}_{k=1} \beta_{n,k}\cdot b_k\) for \(n\geq 2\), \(b_1=1\), and \(\beta_{n,k}\in[-A,-B]\) for some fixed \(A>B\geq 0\) and \(A\geq 1\), \(1\leq k\leq n-1\), \(n\geq 2\). Then the structure of the sequence \(\{U_n\}\) is studied, where \(U_n=U_n (A,B)=\max|b_n|\).
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Linear recurrence
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Difference equations
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Restricted coefficients
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Optimization
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Recurrences with unbounded order
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