Optimization by k-Lucas numbers

DEMİR A., ÖMÜR N., ULUTAS Y. T.

APPLIED MATHEMATICS AND COMPUTATION, vol.197, no.1, pp.366-371, 2008 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 197 Issue: 1
  • Publication Date: 2008
  • Doi Number: 10.1016/j.amc.2007.07.045
  • Journal Name: APPLIED MATHEMATICS AND COMPUTATION
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.366-371
  • Keywords: optimization, Fibonacci numbers, k-Lucas numbers
  • Kocaeli University Affiliated: Yes

Abstract

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. (C) 2007 Elsevier Inc. All rights reserved.