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25 articles for “Line Search”

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Research ArticleOpen accessPhrase in the titleSufficient Descent Condition of the Polak-Ribière-Polyak (PRP) Conjugate Gradient Method without Line SearchAbdelrahman A., KH. I. Osman, Osman O.O. Yousif et al.Nonlinear conjugate gradient methods for unconstrained optimization problems are used in many aspects of theoretical and applied sciences. They are iterative methods, so at any iteration a step length is computed using a method called line search. In most cases, the sufficient descent condition plays an important role to prove the global convergence of a conjugate gradient method. Due to … …Journal of Mathematics and Statistics, Vol. 18, Issue 1 · 14 Mar 2022 · 6,360 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA Robust Modification of Hestenes–Stiefel Conjugate Gradient Method with Strong Wolfe Line SearchAwad Abdelrahman, Osman O.O. Yousif, Khalid I. OsmanNonlinear Conjugate Gradient (CG) methods are extensively used for solving large-scale unconstrained optimization problems. Numerous of studies constructed scales and modifications have been conducted recently to improve (CG) methods. In this paper, a simple modified by its conjugate gradient method was proposed. In addition to, established global convergence property and sufficient descent condition, under Strong Wolfe line search. Numerical result … …Journal of Mathematics and Statistics, Vol. 16, Issue 1 · 14 May 2020 · 6,743 accessesView PDFCite
Research ArticleOpen accessIn the keywordsConjugate Gradient ‎Method: A Developed Version to Resolve Unconstrained Optimization ProblemsAhmad Alhawarat, Nguyen-Thoi Trung, Zabidin SallehOne of the important methods that are widely utilized to resolve ‎unconstrained ‎optimization problems is the Conjugate Gradient (CG) method. This paper aims to propose a new version of the CG method on the basis of Weak Wolfe-Powell (WWP) line search. The assumption is bounded below optimization problems with the Lipschitz continuous gradient. The new parameter obtains global convergence properties … …Journal of Computer Science, Vol. 16, Issue 9 · 18 Sep 2020 · 6,887 accessesView PDFCite
Research ArticleOpen accessIn the keywordsTwo-Versions of Conjugate Gradient-Algorithms Based on Conjugacy Conditions for Unconstrained OptimizationAbbas Y. AL-Bayati, A.J. Salim, Khalel K. AbboProblem statement: (CG) algorithms, which we had investigated in this study, were widely used in optimization, especially for large scale optimization problems, because it did not need the storage of any matrix. The purpose of this construction was to find new CG-algorithms suitable for solving large scale optimization problems. Approach: Based on pure conjugacy condition and quadratic convex function two … …American Journal of Economics and Business Administration, Vol. 1, Issue 2 · 30 Jun 2009 · 8,108 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Three-Term Preconditioned Gradient memory Algorithm for Nonlinear Optimization ProblemsAbbas Y. AL-Bayati, Ivan S. LatifIn the present study, we proposed a three-term of preconditioned gradient memory algorithms to solve a nonlinear optimization problem. The new algorithm subsumes some other families of nonlinear preconditioned gradient memory algorithms as its subfamilies with Powell's Restart Criterion and inexact Armijo line searches. Numerical experiments on twenty one well-known test functions with various dimensions generally encouraged and showed that … …Journal of Mathematics and Statistics, Vol. 4, Issue 2 · 30 Jun 2008 · 6,781 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA New Separable Logarithmic Algorithm for Non-Linear OptimizationAbbas Y. Al-Bayati, Hawraz N. JabbarProblem statement: The idea of this study stemmed from the fact that most of the currently used optimization algorithms use a local quadratic representation of the objective function. It also arisen from the fact that the objective function may not be represented adequately by quadratic functions and the global minimizer may be obtained for objective functions. So, in this study, … …Journal of Computer Science, Vol. 6, Issue 5 · 31 May 2010 · 6,872 accessesView PDFCite
Research ArticleOpen accessIn the abstractComparative Evaluation of Synergistic Antibacterial Effects in Blended Essential Oil against Gram-Positive and Gram-Negative PathogensMin-Gi Kwon, Jae Kyung KimThe rising emergence of multidrug-resistant bacteria has heightened the search for novel antibiotic agents. Essential Oils (EOs) are complex combinations of volatile organic compounds generated by plants, with many exhibiting significant antimicrobial properties. This study evaluates the antibacterial movement of single and blended EOs against representative gram-positive bacteria Staphylococcus aureus and Methicillin-Resistant S. aureus (MRSA) and gram-negative bacteria Escherichia coli … …American Journal of Biochemistry and Biotechnology, Vol. 21, Issue 2 · 7 Jul 2025 · 5,481 accessesView PDFCite
Review ArticleOpen accessIn the abstractEvaluating Common Reconnaissance Tools and Techniques for Information GatheringIsaac Odun-Ayo, Emmanuel Owoka, Otavie Okuoyo et al.A reconnaissance attack is a commonly overlooked step in penetration testing but a critical step that could help increase the effectiveness of an attack on a target. However, it is a common attack faced by companies and institutions, among others. It enables the attacker or penetration tester to gain valuable information on the target and select the best tools and … …Journal of Computer Science, Vol. 18, Issue 2 · 16 Mar 2022 · 7,805 accessesView PDFCite
Research ArticleOpen accessIn the abstractAn Approach to Recognise Odia Characters by Extracting Features from Fragmented QuadrantsAradhana Kar, Sateesh Kumar PradhanThe system introduced in this study concentrates on the recognition of Odia characters. The input to the system is an image in .jpg format which has been created by scanning a document or converting a document to an image by software. The document consists of all Odia alphabets written using the font family 'AkrutiOriAshok-99' in a particular font size in … …Journal of Computer Science, Vol. 19, Issue 1 · 17 Jan 2023 · 6,393 accessesView PDFCite
Research ArticleOpen accessIn the abstractSolving Multi-Objective Master Production Scheduling Model of Kalak Refinery System Using Hybrid Evolutionary Imperialist Competitive AlgorithmShereen Saleem Sadiq, Adnan Mohsin Abdulazeez, Habibollah HaronThe improvement of operational planning in the field of oil refinery management is becoming increasingly essential and valid. The influential primary factor, among others, is the ever-changing economic climate. The industry must continually assess the potential impacts of variations in the final product demand, price fluctuations, crude oil compositions and even seek out immediate opportunities within the market. The Master … …Journal of Computer Science, Vol. 16, Issue 2 · 12 Feb 2020 · 7,827 accessesView PDFCite