Optimization by k-Lucas numbers

This article presents a mathematical analysis of Fibonacci search method by k-Lucas numbers. In this study, we develop a new algorithm which determines the maximum point of unimodal functions on closed intervals. As a result, it makes Fibonacci search method more effective.

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Bibliographic Details
Published in:Applied mathematics and computation 2008-03, Vol.197 (1), p.366-371
Main Authors: Demir, Ali, Omur, Nese, Ulutas, Yucel Turker
Format: Article
Language:English
Subjects:
Calculus of variations and optimal control
Exact sciences and technology
Fibonacci numbers
k-Lucas numbers
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Numerical methods in mathematical programming, optimization and calculus of variations
Optimization
Sciences and techniques of general use
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Description
Summary:This article presents a mathematical analysis of Fibonacci search method by k-Lucas numbers. In this study, we develop a new algorithm which determines the maximum point of unimodal functions on closed intervals. As a result, it makes Fibonacci search method more effective.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2007.07.045