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Optimization by \(k\)-Lucas numbers - MaRDI portal

Optimization by \(k\)-Lucas numbers (Q2479199)

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Optimization by \(k\)-Lucas numbers
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    Optimization by \(k\)-Lucas numbers (English)
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    26 March 2008
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    The well-known Fibonacci search method to find the maximum point of unimodal functions on closed intervals is modified by using \(k\)-Lucas numbers. This makes the Fibonacci search method more effective and improves an earlier algorithm by \textit{B. Yildiz} and \textit{E. Karaduman} [Appl. Math. Comput. 143, No. 2--3, 523--551 (2003; Zbl 1041.11013)]. Unfortunately the definition of \(k\)-Lucas numbers remains incomprehensible by undefined terms.
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    optimization
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    Fibonacci numbers
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    \(k\)-Lucas numbers
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