4 articles for “Conjugate Gradient Method (CGM)”

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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 · 7,370 accessesView PDF Cite

Research ArticleOpen accessIn the abstractQuadratic Convergence Ratio of Constrained Optimal Control ProblemsO. OlotuProblem statement: Earlier Researchers developed algorithms for solving quadratic control problems, but did not address the quadratic convergence ratio profile. Approach: Hence, the objective of this work is using our developed scheme, Discretized Continuous Algorithm (DCA), to examine both convergence profile and quadratic ratio profile demonstrating the effectiveness and efficiency of the scheme. Methodologically, we obtained generalized unconstrained formulation of … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,372 accessesView PDF Cite

Research ArticleOpen accessIn the abstractImbedding the Multiplier in a Discretized Optimal Control Problem With Real Coefficients Via the Penalty and Multiplier MethodsO. OlotuProblem statement: Many earlier schemes, particularly the Function Space Algorithm (FSA) which sidetracks the knowledge of operator, for solving quadratic optimal control problems have been computationally involving and iteratively high. Approach: Though, some of these earlier schemes developed operators consisting of complicated integrals still very difficult to evaluate. Here, objectively, a new scheme, Discretized Continuous Algorithm (DCA), is proposed with … …Journal of Mathematics and Statistics, Vol. 6, Issue 1 · 31 Mar 2010 · 7,041 accessesView PDF Cite

Research ArticleOpen accessIn the abstractInclusion 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 · 6,758 accessesView PDF Cite