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Tikrit Journal of Pure Science
Article . 2024 . Peer-reviewed
License: CC BY
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Tikrit Journal of Pure Science
Article . 2024
Data sources: DOAJ
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Two Algorithms for Solving Unconstrained Global Optimization by Auxiliary Function Method

Authors: Shehab Ahmed Ibrahem; Isam Haider Halil; Suaad Madhat Abdullah;

Two Algorithms for Solving Unconstrained Global Optimization by Auxiliary Function Method

Abstract

In this paper, we present two algorithms that are designed to solve unconstrained global optimization problems. The first algorithm is introduced for resolving unconstrained optimization problems by dividing a multidimensional problem into partitions of a one-dimensional problem and subsequently identifying a global minimizer for each partition by utilizing an auxiliary function and then using it to find the global minimizer of a multidimensional problem. In the second algorithm, the same auxiliary function is used to find a global minimizer of the same multidimensional problem without partitioning it. Finally, we apply these algorithms to common test problems and compare them to each other to show the efficiency of the algorithms

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Keywords

Chemistry, Physics, QC1-999, Global optimization, Auxiliary function, conjugate gradient methods, unconstrained optimization, Nonlinear programming, QD1-999, Smoothing technique

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
0
Average
Average
Average
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