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88 results for “gradient method”
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Research ArticleOpen accessPhrase in the titleA Developed Version of Conjugate Gradient Method With a New Parameter for Dai-Liao Conjugacy Condition With an Application to Solar PanelAhmad Alhawarat, Ramadan Sabra, Mehiddin Al-Baali et al.Conjugate Gradient (CG) methods are broadly employed in solving bigger-scale unconstrained optimization problems. Two famous methods are the Hestenes–Stiefel (HS) as well as Polak–Ribière–Polyak (PRP) CG methods, which usually work well in practice. However, they cannot satisfy the Global Convergence (GC) property. To retain and enhance the previous practical behavior as well as rectify the latter difficulty, this paper constructs … …Journal of Computer Science, Vol. 21, Issue 7 · 15 Jul 2025 · 3,153 accessesView PDFCite
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 · 6,365 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 · 6,747 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA New Approach for 3D Range Image Segmentation using Gradient MethodDina A. Hafiz, Walaa M. Sheta, Sahar Bayoumi, Bayumy A.B. YoussefProblem statement: Segmentation of 3D range images is widely used in computer vision as an essential pre-processing step before the methods of high-level vision can be applied. Segmentation aims to study and recognize the features of range image such as 3D edges, connected surfaces and smooth regions. Approach: This study presents new improvements in segmentation of terrestrial 3D range images … …Journal of Computer Science, Vol. 7, Issue 4 · 4 Apr 2011 · 19,597 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleA New Spectral Conjugate Gradient Method for Nonlinear Unconstrained OptimizationIbtisam A. Masmali, Zabidin Salleh, Ahmad AlhawaratTheconjugate gradient method is widely used to solve large scale unconstrainedoptimization problems. However, the rate of convergence conjugate gradient method is linearunless it restarted. In this study, we present a new spectral conjugategradient modification formula with restart property obtains the globalconvergence and descent properties.In addition, we proposed a new restart condition for Fletcher-Reeves conjugate gradient formula. The numerical resultsdemonstrated that … …Journal of Computer Science, Vol. 17, Issue 6 · 5 Jul 2021 · 6,658 accessesView PDFCite
Research ArticleOpen accessPhrase in the titleInclusion Identification by Inverse Application of Boundary Element Method, Genetic Algorithm and Conjugate Gradient MethodMahmud Khodadad, Mohsen Dashti ArdakaniCharacterization of the interior of an inhomogeneous body using displacement measurements obtained by conducting a simple tension test was investigated. A homogeneous elastic solid body is assumed to have another solid body with arbitrary shape hidden inside it. The shape and physical properties of this inclusion were unknown. The Boundary Element Method (BEM) coupled with a mete heuristic Genetic Algorithm … …American Journal of Applied Sciences, Vol. 5, Issue 9 · 30 Sep 2008 · 6,761 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleConjugate 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 · 6,894 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSperm DNA Fragmentation and Apoptosis Levels: A Comparison of the Swim up and the Density Gradient Centrifugation Methods for Sperm PreparationSilvia W. Lestari, Triyana Sari, Dwi A. PujiantoThis study investigated the efficiency of two sperm preparation methods, namely, density gradient centrifugation and the swim-up method, in selecting spermatozoa based on the DNA fragmentation index and the apoptosis levels. Fifteen semen samples from infertile couples underwent sperm preparation in this study. The Makler® counting chamber and Eosin Y staining were used to analyse the sperm concentration, motility and … …OnLine Journal of Biological Sciences, Vol. 16, Issue 4 · 14 Nov 2016 · 7,422 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleSelf-Generation ART-1 Neural Network with Gradient-Descent Method Aid for Latin Alphabet RecognitionMbaïtiga ZacharieProblem statement: In this study a self-generation ART-1 neural network that is an efficient algorithm that emulates the self-organizing pattern recognition developed to avoid the stability-plasticity dilemma in competitive networks learning, is presented for Latin alphabet recognition to use in a vision system for road sings recognition. Approach: The first step of our approach deals with the training process where … …Journal of Computer Science, Vol. 4, Issue 8 · 31 Aug 2008 · 6,568 accessesView PDFCite
Research ArticleOpen accessIn the keywordsDiscretized Scheme Examining Convergence and Geometric Ratio Profiles for Control Problem Constrained by Evolution EquationO. OlotuProblem statement: Here, we develop a discretized scheme using only the penalty method without involving the multiplier parameter to examine the convergence and geometric ratio profiles. Approach: This approach reduces computational time arising from less data manipulation. Objectively, we wish to obtain a numerical solution comparing favourably with the analytic solution.. Methodologically, we discretize the given problem, obtain an unconstrained … …Journal of Mathematics and Statistics, Vol. 7, Issue 2 · 18 May 2011 · 7,374 accessesView PDFCite