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26 results for “Newton Method”

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Research ArticleOpen accessEvery word in the titleAdapted Newton-Kantorovich Methods for Nonlinear Integral EquationsMostefa Nadir, Amina KhiraniFor this work, the main idea is to make an adapted modification to the Newton-Kantorovich method destined to solve a nonlinear integral equations, so that by this technical method we obtain a simple application to this solution. Moreover, we compare the numerical results obtained by this method against ones obtained by another authors. This comparison showed the efficiency of this … …Journal of Mathematics and Statistics, Vol. 12, Issue 3 · 2 Jul 2016 · 7,294 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleExtended Kalman Filter versus Newton-Lowe's Method for Robot Pose EstimationMohammad Ehab RagabIn this work, we study the pose estimation problem of anautonomous mobile robot. Particularly, we compare the Extended Kalman Filter (EKF) to Lowe's method based on the iterative Newton's method for solving a system of nonlinear equations. Although the EKF is recursive which renders it suitable for the real-time problem at hand, Lowe's method has much less dimensionality. This is … …Journal of Computer Science, Vol. 11, Issue 7 · 5 Nov 2015 · 6,937 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleA New Newton's Method with Diagonal Jacobian Approximation for Systems of Nonlinear EquationsM. Y. Waziri, W. J. Leong, M. A. Hassan, M. MonsiProblem statement: The major weaknesses of Newton method for nonlinear equations entail computation of Jacobian matrix and solving systems of n linear equations in each of the iterations. Approach: In some extent function derivatives are quit costly and Jacobian is computationally expensive which requires evaluation (storage) of n×n matrix in every iteration. Results: This storage requirement became unrealistic when n … …Journal of Mathematics and Statistics, Vol. 6, Issue 3 · 30 Sep 2010 · 8,538 accessesView PDFCite
Research ArticleOpen accessEvery word in the titleBlock Methods based on Newton Interpolations for Solving Special Second Order Ordinary Differential Equations DirectlyYap Lee Ken, Fudziah Ismail, Mohamed Suleiman, Suriah Md. AminThis study focused mainly on the derivation of the 2 and 3-point block methods with constant coefficients for solving special second order ordinary differential equations directly based on Newton-Gregory backward interpolation formula. The performance of the new methods was compared with the conventional 1-point method using a standard set of test problems. Numerical results were presented to illustrate the effectiveness … …Journal of Mathematics and Statistics, Vol. 4, Issue 3 · 30 Sep 2008 · 8,120 accessesView PDFCite
Research ArticleOpen accessIn the keywordsA MODIFIED METHOD FOR SOLVING SYSTEM OF NONLINEAR EQUATIONSKanittha ChompuvisedSolving systems of nonlinear equation is a great important which arises in various branches of science and engineering. In the last decades, several numerical techniques were proposed to solve these problems. In this study, we propose a modified of iterative method which is based on the idea of Newton method and Fixed point iteration method. The proposed method has been … …Journal of Mathematics and Statistics, Vol. 9, Issue 1 · 15 Mar 2013 · 6,770 accessesView PDFCite
Research ArticleOpen accessIn the keywordsMemoryless Modified Symmetric Rank-One Method for Large-Scale Unconstrained OptimizationFarzin Modarres, Malik Abu Hassan, Wah June LeongProblem statement: Memoryless QN methods have been regarded effective techniques for solving large-scale problems that can be considered as one step limited memory QN methods. In this study, we present a scaled memoryless modified Symmetric Rank-One (SR1) algorithm and investigate the numerical performance of the proposed algorithm for solving large-scale unconstrained optimization problems. Approach: The basic idea is to apply … …American Journal of Applied Sciences, Vol. 6, Issue 12 · 31 Dec 2009 · 7,981 accessesView PDFCite
Research ArticleOpen accessIn the keywordsHigher-Order Newton-Cotes FormulasPedro Americo Almeida Magalhaes Junior, Cristina Almeida MagalhaesProblem statement: The present work offers equations of Newton-Cotes Integration until twenty segments. Approach: It shows Newton-Cotes closed and open integration formulas. The new type Newton-Cotes semi-closed or semi-open was proposed. Results: An analysis of error in the technique was made. To estimate the error of integration in discrete data, we propose apply different rules or mix several rules. Conclusion/Recommendations: … …Journal of Mathematics and Statistics, Vol. 6, Issue 2 · 30 Jun 2010 · 9,750 accessesView PDFCite
Research ArticleOpen accessIn the abstractThe Study of the Dynamics of a Cebâşev ManipulatorRelly Victoria Virgil PetrescuThe paper presents a new method for determining the dynamic parameters of a Cebâşev conveyor mechanism, solvable in two steps. In the first step, the classic method of preserving the kinetic energy of the entire mechanism is used to determine the rotating mass of the Cebâşev mechanism denoted by J*, this being the dynamic rotating mass of the entire mechanism … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 28 Nov 2022 · 5,663 accessesView PDFCite
Research ArticleOpen accessIn the abstractGeometrical Approach to a New Hybrid Grid-Based Gravitational Clustering AlgorithmFaisal Bin Al Abid, A.N.M. Rezaul Karim, Golam Rahman ChowdhuryIn the past years, several clustering algorithms have been developed, for example, K-means, K-medoid. Most of these algorithms have the common problem of selecting the appropriate number of clusters and these algorithms are sensitive to noisy data and would cause less accurate clustering of the data set. Therefore, this paper introduces a new Hybrid Grid-based Gravitational Clustering Algorithm (HGGCA) geometrically, … …Journal of Computer Science, Vol. 17, Issue 3 · 9 Mar 2021 · 6,783 accessesView PDFCite
Research ArticleOpen accessIn the abstractApplication of Newton Raphson Algorithm for Optimizing Transmission Control Protocol PerformanceJ. Viji Priya, S. SuppiahWireless networks are growing rapidly. TCP is the most widely-used protocol on Internet and so optimizing TCP performance is very important for fast efficient data transfer. The different existing TCP variants and solutions they have not been analyzed together to identify the bottlenecks in wireless networks. TCP has a major problem in its congestion control algorithm which does not allow … …Journal of Computer Science, Vol. 9, Issue 5 · 20 May 2013 · 6,302 accessesView PDFCite