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88 articles for “Iteration”

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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 keywordsNumerical Solution for 2D European Option Pricing Using Quarter-Sweep Modified Gauss-Seidel MethodKoh Wei Sin, Jumat Sulaiman, Rasid MailProblem statement: This study presents the numerical solution of two-dimensional European option pricing problem based on Quarter-Sweep Modified Gauss-Seidel (QSMGS) iterative method. In fact, the pricing of European option with two-underlying assets can be governed by two-dimensional Black-Scholes Partial Differential Equation (PDE). Approach: The PDE needs to be discretized by using full-, half- and quarter-sweep second-order Crank-Nicolson schemes to generate … …Journal of Mathematics and Statistics, Vol. 8, Issue 1 · 8 Feb 2012 · 7,773 accessesView PDFCite
Research ArticleOpen accessIn the keywordsAsymptotic Analysis and Convergence of Recursively Defined SequencesPaul BrackenThe asymptotic properties and limiting behavior of several distinct real sequences are determined. These sequences are defined by means of recurrence relations. Divergent and convergent sequences are discussed. It is shown methods can be found to treat both kinds producing definite knowledge with regard to the sequence. In the case of divergence, a related convergent subsequence can often be found … …Journal of Mathematics and Statistics, Vol. 22, Issue 1 · 1 Oct 2026 · 538 accessesView PDFCite
Research ArticleOpen accessIn the keywordsParallel Two-Dimensional Quicksort Algorithm (PTSA)Hamed Al Rjoub, Ahmad Odat, Abdullah AudatIn this research, a Parallel Two-Dimensional Sorting Algorithm (PTSA) is presented that has better performance than the classical Quicksort, to sort a data vector of size n = r (rows) × c(columns). PTSA algorithm divides the input vector into n/r sub-vectors, which represents tow-dimensional vector of Slave Processor Elements (VPE ), the maximum number of VPE for parallel sorting is … …Journal of Computer Science, Vol. 4, Issue 1 · 31 Jan 2008 · 6,859 accessesView PDFCite
Research ArticleOpen accessIn the abstractEnhanced Lifetime Maximization Using Metaheuristics-Based Unequal Clustering With Routing Protocol on Wireless Sensor NetworksN. E. Kanaghadhara, R. SubanThe Wireless Sensor Network (WSN) consists of spatially distributed autonomous sensors that monitor environmental or physical factors such as sound, pressure, or temperature, and pass the information directly through the network to a sink or central location. Clustering and routing are essential in WSNs to optimize their longevity, scalability, and efficiency. Clustering includes grouping Sensor Nodes (SN) into clusters, each … …Journal of Computer Science, Vol. 22, Issue 7 · 21 Jul 2026 · 682 accessesView PDFCite
Research ArticleOpen accessIn the abstractA Vision-Based Approach to Real-Time Trust Evaluation within Multiagent SystemsAlan Kruger, Sun YiAs robotic autonomy increases, single-agent systems are evolving into more complex multiagent systems that require more factors for successful implementation. In exchange for this complexity, applications such as autonomous delivery services and reconnaissance swarms become possible when they are infeasible with only one agent. By incorporating Trust into the multiagent system, the complexity of the agent-to-agent relationships can be managed … …Journal of Mechatronics and Robotics, Vol. 9, Issue 1 · 21 Mar 2025 · 7,937 accessesView PDFCite
Research ArticleOpen accessIn the abstractData Analytics for the Cyber Security of an Information System Based on a Markov Decision Process ModelLidong Wang, Randy Jones, Terril C. FallsIntrusion detection is an important research topic in information systems and cyber security. Both a defender and an attacker detect and learn about each other during an intrusion process. The defender can expel the attacker as soon as the attacker is detected or wait and observe to know more about the attacker for the detection and prevention of other attacks … …American Journal of Engineering and Applied Sciences, Vol. 15, Issue 4 · 7 Dec 2022 · 5,431 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 abstractModified ACS Centroid Memory for Data ClusteringAyad Mohammed Jabbar, Ku Ruhana Ku-Mahamud, Rafid SagbanAnt Colony Optimization (ACO) is a generic algorithm, which has been widely used in different application domains due to its simplicity and adaptiveness to different optimization problems. The key component that governs the search process in this algorithm is the management of its memory model. In contrast to other algorithms, ACO explicitly utilizes an adaptive memory, which is important to … …Journal of Computer Science, Vol. 15, Issue 10 · 11 Oct 2019 · 7,641 accessesView PDFCite
Research ArticleOpen accessIn the abstractTracking Pointer and Look Ahead Matching Strategy to Evaluate Iceberg Driven QueryKale Sarika Prakash, P.M. Joe PrathapIceberg driven query is important and common in many applications of data mining and data warehousing. Main property of iceberg driven query is it extracts small set of data from huge database. It works on aggregation function followed by GROUP BY and HAVING clause. Due to involvement of aggregation function execution of iceberg driven query becomes tedious and complex work. … …Journal of Computer Science, Vol. 13, Issue 3 · 17 Apr 2017 · 7,296 accessesView PDFCite