On Fibonacci search method with k-Lucas numbers

Yildiz, B; Karaduman, Erdal

doi:10.1016/s0096-3003(02)00378-8

Makale Tam Makale Uluslararası 2003

On Fibonacci search method with k-Lucas numbers

B Yildiz, Erdal Karaduman

APPLIED MATHEMATICS AND COMPUTATION Cilt 143 · ss. 523–531 · 10.11.2003

DOI ile aç

Özet

In this paper, using k-Lucas numbers instead of conventional Fibonacci numbers and conventional Lucas numbers, we have made more improvements on location of the intervals containing optimal point in the classical Fibonacci search algorithm. For that aim, using a well known test function in Optimization Theory, a computer program was developed in MAPLE to examine this idea. It was shown that the our method is giving better results than the previous method in the sense that converging the optimal point more rapidly. (C) 2002 Elsevier Science Inc. All rights reserved.

Atıf için künye

Yildiz, B., & Karaduman, E. (2003). On Fibonacci search method with k-Lucas numbers. APPLIED MATHEMATICS AND COMPUTATION, 143, 523–531. https://doi.org/10.1016/s0096-3003%2802%2900378-8

BibTeX

@article{yildiz2003-73596,
  author = {Yildiz, B and Karaduman, Erdal},
  title = {On Fibonacci search method with k-Lucas numbers},
  journal = {APPLIED MATHEMATICS AND COMPUTATION},
  year = {2003},
  volume = {143},
  pages = {523--531},
  issn = {0096-3003},
  doi = {10.1016/s0096-3003(02)00378-8},
  url = {https://akademik.atauni.edu.tr/yayinlar/73596-on-fibonacci-search-method-with-k-lucas-numbers}
}