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19 results for “Iteration Methods”
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Research ArticleOpen accessIn the keywordsOn the Successive Overrelaxation MethodI. K. YoussefProblem statement: A new variant of the Successive Overrelaxation (SOR) method for solving linear algebraic systems, the KSOR method was introduced. The treatment depends on the assumption that the current component can be used simultaneously in the evaluation in addition to the use the most recent calculated components as in the SOR method. Approach: Using the hidden explicit characterization of … …Journal of Mathematics and Statistics, Vol. 8, Issue 2 · 22 Feb 2012 · 12,799 accessesView PDFCite
Research ArticleOpen accessIn the keywordsStrong Convergence Theorems for Fixed Points of Asymptotically Nonexpansive Mappings in Uniformly Smooth Banach SpacesOlusegun Olawale OwojoriIn this work, we establish strong convergence of the improved modified three-step iteration methods for asymptotically nonexpansive operators in uniformly smooth and convex Banach spaces. Our results generalize the previous results of Schu [10], Osilike and Aniagbosor [5], Xu and Noor [13], as well as Owojori and Imoru [7] among others. …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 5,992 accessesView PDFCite
Research ArticleOpen accessIn the keywordsApproximation Methods for Fixed Points of Quasi-contractive Mappings in Arbitrary Real Banach SpacesOlusegun O. OwojoriOwojori and Imoru [1] introduced some iteration methods and investigated its convergence for pseudocontractive and accretive operators in arbitrary Banach spaces. In this work, strong convergence results are established for fixed points of a general type of quasicontractive mappings in arbitrary real Banach spaces. Our results here represent some improvements on the earlier results of Owojori and Imoru [1], Naimpally … …Journal of Mathematics and Statistics, Vol. 1, Issue 2 · 30 Jun 2005 · 6,155 accessesView PDFCite
Research ArticleOpen accessIn the abstractSufficient 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 accessIn the abstractPerturbation Iteration Transform Method for the Solution of Newell-Whitehead-Segel Model EquationsGrace O. Akinlabi, Sunday O. EdekiIn this study, a computational method referred to as Perturbation Iteration Transform Method (PITM), which is a combination of the conventional Laplace Transform Method (LTM) and the Perturbation Iteration Algorithm (PIA) is applied for the solution of Newell-Whitehead-Segel Equations (NWSEs). Three unique examples are considered and the results obtained are compared with their exact solutions graphically. Also, the results agree … …Journal of Mathematics and Statistics, Vol. 13, Issue 1 · 20 Feb 2017 · 6,987 accessesView PDFCite
Research ArticleOpen accessIn the abstractThermodynamic Model of Calcium Carbonate System of Soil SolutionAbdulmalik A. Batukaev, Anatoliy P. Endovitsky, Andrey G. Andreev et al.Carbonate system determines the basic processes of soil formation and evolution. The aim of research was to show the importance of chemical Carbonate Calcium Equilibrium (CCE) in soil solutions. CCE causes a degree of soil solution’s saturation with CaCO3 as a factor of carbonate geochemical cycle. CCE depends on chemical composition, pH, Eh, buffering properties of liquid phase, dissolution, migration, … …American Journal of Agricultural and Biological Sciences, Vol. 11, Issue 2 · 18 May 2016 · 7,978 accessesView PDFCite
Research ArticleOpen accessIn the abstractA VARIANT OF POLLARD'S RHO ATTACK ON ELLIPTIC CURVE CRYPTOSYSTEMSSiham Ezzouak, Mohammed Elamrani, Abdelmalek AziziElliptic Curve cryptosystems appear to be more secure and efficient when requiring small key size to implement than other public key cryptosystems. Its security is based upon the difficulty of solving Elliptic Curve Discrete Logarithm Problem (ECDLP). This study proposes a variant of generic algorithm Pollard's Rho for finding ECDLP using cycle detection with stack and a mixture of cycle … …Journal of Computer Science, Vol. 10, Issue 8 · 9 Apr 2014 · 7,269 accessesView PDFCite
Research ArticleOpen accessIn the abstractHYBRID SEARCH AND DELIVERY OF LEARNING OBJECTS SYSTEMAnthony N. Ilukwe, Yevgen BiletskyRetrieving learning material from the internet is a tedious process that has begged for a solution to filter out of the cluster of data and irrelevant material on the internet and deliver material that is relevant to a specific user. The Hybrid Search and Delivery of Learning Objects (HSDLO) system, put forward in this study, facilitates the personalized search and … …Journal of Computer Science, Vol. 10, Issue 6 · 25 Jan 2014 · 6,600 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Tool for Generation and Minimization of Test Suite by Mutant Gene AlgorithmSelvakumar Subramanian, Ramaraj NatarajanProblem statement: This study proposes a new idea for generation of minimized test suite in the test case generation using the mutant gene algorithm, which not only identifies the best test cases but also reduces the number of test cases generated, selects test cases optimally there improving the performance in testing of software. Test cases are generated by using branch … …Journal of Computer Science, Vol. 7, Issue 10 · 9 Aug 2011 · 7,164 accessesView PDFCite
Research ArticleOpen accessIn the abstractVariational Homotopy Perturbation Method for the Zakharove-Kuznetsov EquationsMashaallah Matinfar, Maryam GhasemiProblem statement: In this research, the Variational Homotopy Perturbation Method (VHPM) which is a combination of Variational Iteration Method (VIM) and Homotopy Perturbation Method (HPM) used for the Zakharove-Kuznetsov equations (ZK-equations). Approach: These two methods are proposed by chinese researcher J.H.He. M.A.Noor improved these two methods and established the VHPM. The numerical solution of ZK-equation is of great importance dut … …Journal of Mathematics and Statistics, Vol. 6, Issue 4 · 24 Dec 2010 · 7,254 accessesView PDFCite