Finding Zeros of Nonlinear Functions Using the Hybrid Cell Mapping Method

机译：使用混合单元映射方法寻找非线性函数的零点

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This paper proposes a zero finding algorithm that combines the cell mapping and the subdivision method.Combined simple and generalized cell mapping is used for covering set finding in a coarse cell space.Subdivision is applied to enhance solution accuracy gradually.Damped Newton’s method is picked as the underlying dynamics to construct cell mapping.

机译：本文提出了一种将单元格映射和细分方法相结合的归零算法，将简单和广义的单元格映射相结合来覆盖粗糙单元空间中的集合发现，通过细分来逐步提高求解精度，采用阻尼牛顿法作为构建细胞映射的基础动力学。

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来源
《EVOLVE 2014 Proceedings: A Bridge between Probability, Set Oriented Numerics, and Evolutionary Computing》|2014年|1-6|共6页
会议地点 Beijing(CN)
作者
Fu-Rui Xiong; Zhi-Chang Qin; Oliver Schütze; Qian Ding; Jian-Qian Sun;
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作者单位

Department of Mechanics, Tianjin University, Tianjin, 300072, China;

Department of Mechanics, Tianjin University, Tianjin, 300072, China;

CINVESTAV-IPN, Depto de Computacion Mexico City, 07360, Mexico;

Department of Mechanics, Tianjin University, Tianjin, 300072, China;

School of Engineering, University of California, Merced, CA 95343, USA;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Zeros Finding; Cell Mapping; Subdivision; Newton's Method;

机译：零点查找；单元映射；细分；牛顿法;

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1. Finding zeros of nonlinear functions using the hybrid parallel cell mapping method [J] . Xiong Fu-Rui, Schuetze Oliver, Ding Qian, Communications in Nonlinear Science and Numerical Simulation . 2016,第MAY期

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2. A review of bracketing methods for finding zeros of nonlinear functions [J] . Somkid Intep Applied mathematical sciences . 2018,第1a4期

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3. The hybrid projection algorithm for finding the common fixed points of nonexpansive mappings and the zeroes of maximal monotone operators in Banach spaces [J] . Siwaporn Saewan, Poom Kumam, Preedaporn Kanjanasamranwong Optimization: A Journal of Mathematical Programming and Operations Research . 2014,第7a9期

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4. Finding Zeros of Nonlinear Functions Using the Hybrid Cell Mapping Method [C] . Fu-Rui Xiong, Zhi-Chang Qin, Oliver Schütze, Evolve International Conference . 2014

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5. Hybrid Monte Carlo - Deterministic Neutron Transport Methods Using Nonlinear Functionals. [D] . Wolters, Emily R. 2011

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6. Restricted helper function of F1 hybrid T cells positively selected to heterologous erythrocytes in irradiated parental strain mice. II. Evidence for restrictions affecting helper cell induction and T-B collaboration both mapping to the K-end of the H-2 complex [O] . 1978

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7. Erratum to “Projection-proximal methods for general variational inequalities” J. Math. Anal. Appl. 318 (2006) 53–62. Erratum to “The improved LaSalle-type theorems for stochastic functional differential equations” J. Math. Anal. Appl. 318 (2006) 134–154. Erratum to “Iterative approximation of fixed points of nonexpansive mappings” J. Math. Anal. Appl. 318 (2006) 288–295. Erratum to “On the stability of the orthogonal Pexiderized Cauchy equation” J. Math. Anal. Appl. 318 (2006) 211–223. Erratum to “On semilinear elliptic equations involving concave–convex nonlinearities and sign-changing weight function” J. Math. Anal. Appl. 318 (2006) 253–270 [O] . The Publisher 2006

机译：勘误表“一般变分不等式的投影近邻方法” J．数学。肛门应用318（2006）53-62。勘误“对随机泛函微分方程的改进的LaSalle型定理” J.数学。肛门应用318（2006）134–154。勘误表为“非膨胀映射的不动点的迭代逼近” J.数学。肛门应用318（2006）288–295。勘误表“关于正交Pexiderized Cauchy方程的稳定性” J.数学。肛门应用318（2006）211–223。参见“关于涉及凹凸非线性和符号变权函数的半线性椭圆方程”的勘误。数学。肛门应用318（2006）253–270
8. EFFICIENT METHODS FOR FINDING ZEROS OF FUNCTIONS WHOSE DERIVATIVES ARE EASY TO EVALUATE [R] . Richard Brent 1974

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Finding Zeros of Nonlinear Functions Using the Hybrid Cell Mapping Method

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