Parametrized fibonacci search method with k-Lucas numbers

DEMİR A., ÖMÜR N., ULUTAS Y. T.

APPLIED MATHEMATICS AND COMPUTATION, cilt.198, sa.1, ss.355-360, 2008 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 198 Sayı: 1
  • Basım Tarihi: 2008
  • Doi Numarası: 10.1016/j.amc.2007.08.041
  • Dergi Adı: APPLIED MATHEMATICS AND COMPUTATION
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.355-360
  • Anahtar Kelimeler: optimization, fibonacci numbers, k-Lucas sequences
  • Kocaeli Üniversitesi Adresli: Evet

Özet

In this paper, we study on Fibonacci search method with k-Lucas numbers by introducing a parameter a which depends on the length of the interval and the function. This parameter ensures that the result we got at the end of the computation is correct. We made more improvement in algorithm which finds the maximum point of a unimodal function. Application of this algorithm gives better results. (c) 2007 Elsevier Inc. All rights reserved.