Optimization by k-Lucas numbers
Copyright policy )Optimization by k-Lucas numbers
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.
- University of Kocaeli Turkey
Numerical methods based on nonlinear programming, Nonlinear programming, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers, optimization, \(k\)-Lucas numbers
Numerical methods based on nonlinear programming, Nonlinear programming, Fibonacci and Lucas numbers and polynomials and generalizations, Fibonacci numbers, optimization, \(k\)-Lucas numbers
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