Version 1
: Received: 12 April 2020 / Approved: 16 April 2020 / Online: 16 April 2020 (12:54:15 CEST)
How to cite:
Ali, J. Cooperative Multi-Simplex Algorithm: An Innovation from Localization to Globalization. Preprints2020, 2020040273. https://doi.org/10.20944/preprints202004.0273.v1
Ali, J. Cooperative Multi-Simplex Algorithm: An Innovation from Localization to Globalization. Preprints 2020, 2020040273. https://doi.org/10.20944/preprints202004.0273.v1
Ali, J. Cooperative Multi-Simplex Algorithm: An Innovation from Localization to Globalization. Preprints2020, 2020040273. https://doi.org/10.20944/preprints202004.0273.v1
APA Style
Ali, J. (2020). <strong>Cooperative Multi-Simplex Algorithm: An Innovation from Localization to Globalization</strong>. Preprints. https://doi.org/10.20944/preprints202004.0273.v1
Chicago/Turabian Style
Ali, J. 2020 "<strong>Cooperative Multi-Simplex Algorithm: An Innovation from Localization to Globalization</strong>" Preprints. https://doi.org/10.20944/preprints202004.0273.v1
Abstract
This study suggests a novel cooperative multi-simplex algorithm that generalizes a local search optimizer to design a novel global search heuristic algorithm. The proposed algorithm exploits the vertex sharing strategy to enhance the search abilities of the working simplexes. The vertex sharing among the simplexes is carried out through cooperative step that is based on fitness of the underlying simplex. The proposed algorithm is applied to solve some systems of nonlinear equations by transforming them to optimization problems. Comparative analysis of results shows that the proposed method is practical and effective.
Keywords
Nelder-Mead algorithm; cooperative multi-simplex algorithm; simplex-fitness; system of nonlinear equations
Subject
Computer Science and Mathematics, Data Structures, Algorithms and Complexity
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.