On the norms of Toeplitz matrices involving \(k\)-Fibonacci and \(k\)-Lucas numbers (Q2907701)
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scientific article; zbMATH DE number 6080577
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the norms of Toeplitz matrices involving \(k\)-Fibonacci and \(k\)-Lucas numbers |
scientific article; zbMATH DE number 6080577 |
Statements
11 September 2012
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Toeplitz matrices
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\(k\)-Fibonacci numbers
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\(k\)-Lucas numbers
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Hadamard products
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norm bounds
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spectral norms
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Kronecker products
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On the norms of Toeplitz matrices involving \(k\)-Fibonacci and \(k\)-Lucas numbers (English)
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The author gives upper and lower bounds for the spectral norms of Toeplitz matrices in which the entries are Fibonacci and Lucas numbers, respectively. The bounds are in terms of some Fibonacci and Lucas numbers, respectively, and the proofs are standard. Some bounds for the spectral norms of Hadamard and Kronecker products of these matrices are obtained.
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