ROOT-FINDING

作品数：9被引量：4H指数：1
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A Fourth-Order Convergent Iterative Method by Means of Thiele's Continued Fraction for Root-Finding Problem
《Journal of Mathematical Research with Applications》2019年第1期10-22,共13页Shengfeng LI 
Supported by the National Natural Science Foundation of China(Grant No.11571071);the Natural Science Key Foundation of Education Department of Anhui Province(Grant No.KJ2013A183);the Project of Leading Talent Introduction and Cultivation in Colleges and Universities of Education Department of Anhui Province(Grant No.gxfxZD2016270);the Incubation Project of the National Scientific Research Foundation of Bengbu University(Grant No.2018GJPY04)
In this paper, we propose a new single-step iterative method for solving non-linear equations in a variable. This iterative method is derived by using the approximation formula of truncated Thiele's continued fraction...
关键词：NON-LINEAR equation Thiele’s continued FRACTION Viscovatov algorithm iterative method order of convergence 
Ray-triangular Bezier patch intersection using hybrid clipping algorithm被引量：1
《Frontiers of Information Technology & Electronic Engineering》2016年第10期1018-1030,共13页Yan-hong LIU Juan CAO Zhong-gui CHEN Xiao-ming ZENG 
Project supported by the National Natural Science Foundation of China （Nos. 61100105, 61572020, and 61472332）, the Natural Science Foundation of Fujian Province of China （No. 2015J01273）, and the Fundamental Research Funds for the Central Universities, China （Nos. 20720150002 and 20720140520）
In this paper, we present a novel geometric method for efficiently and robustly computing intersections between a ray and a triangular Bezier patch defined over a triangular domain, called the hybrid clipping （HC） a...
关键词：Ray tracing Triangular Bezier surface Ray-patch intersection ROOT-FINDING Hybrid clipping 
Polynomials Root-Finding Using a SLEFE-Based Clipping Method
《Communications in Mathematics and Statistics》2016年第3期311-322,共12页Ping Jiang Xingqiao Wu Zhi Liu 
the joint grant by National Natural Science Foundation ofChina(No.11471093);Thanks to the authors of references for the valuable ideas to this paper and thanksto the reviewers for their precious opinions proposed to this paper.
For finding the real roots of a polynomial,we propose a clipping algorithmcalled SLEFEclipping and an isolation algorithmcalled SLEFEisolation algorithm.Ateach iterative step,the SLEFEclipping algorithm generates two ...
关键词：POLYNOMIAL ROOT-FINDING SLEFE clipping Real root interval isolation 
New Fourth Order Iterative Methods Second Derivative Free
《Journal of Applied Mathematics and Physics》2016年第3期519-523,共5页Osama Y. Ababneh 
In a recent paper, Noor and Khan [M. Aslam Noor, & W. A. Khan, (2012) New Iterative Methods for Solving Nonlinear Equation by Using Homotopy Perturbation Method, Applied Mathematics and Computation, 219, 3565-3574], s...
关键词：Newton’s Method Fourth-Order Convergence Third-Order Convergence Non-Linear Equations ROOT-FINDING Iterative Method 
Solving Systems of Transcendental Equations Involving the Heun Functions
《American Journal of Computational Mathematics》2012年第2期95-105,共11页Plamen P. Fiziev Denitsa R. Staicova 
The Heun functions have wide application in modern physics and are expected to succeed the hypergeometrical functions in the physical problems of the 21st century. The numerical work with those functions, however, is ...
关键词：ROOT-FINDING ALGORITHM Müller ALGORITHM Two-Dimensional Müller ALGORITHM Regge-Wheeler EQUATION QUASINORMAL Modes Teukolsky MASTER EQUATION 
Improved Ostrowski-Like Methods Based on Cubic Curve Interpolation
《Applied Mathematics》2011年第7期816-823,共8页Janak Raj Sharma Rangan Kumar Guha Rajni Sharma 
In this paper, we derive two higher order multipoint methods for solving nonlinear equations. The methodology is based on Ostrowski’s method and further developed by using cubic interpolation process. The adaptation ...
关键词：Nonlinear EQUATIONS Ostrowski’s Method ROOT-FINDING Order of CONVERGENCE CUBIC INTERPOLATION 
A High-Order Newton-Like Method
《Wuhan University Journal of Natural Sciences》2011年第1期4-6,共3页WANG Xiuhua TANG Lijun KOU Jisheng 
Supported by the National Natural Science Foundation of China (10826082);the Key Disciplines Project of Shanghai Municipality (S30104);the Shanghai Leading Academic Discipline Project (J50101)
This paper gives a new iterative method to solve the non-linear equation. We prove that this method has the asymptotic convergent order. When the iterative times exceed 2,only one evaluation of the function and one of...
关键词：non-linear equation iterative method Newton＇s method ROOT-FINDING 
A Fourth-order Covergence Newton-type Method被引量：3
《Chinese Quarterly Journal of Mathematics》2008年第4期589-593,共5页WANG Xia ZHAO Ling-ling 
Foundation item： Supported by the National Science Foundation of China（10701066）; Supported by the National Foundation of the Education Department of Henan Province（2008A110022）
A fourth-order convergence method of solving roots for nonlinear equation, which is a variant of Newton＇s method given. Its convergence properties is proved. It is at least fourth-order convergence near simple roots ...
关键词：Newton iteration method root-finding method fourth-order convergence numerical test 
SPEED OF CONVERGENCE OF KUHN'S ROOT-FINDING ALGORITHM
《Chinese Science Bulletin》1983年第9期1284-,共1页徐森林 王则柯 
Suppose f（z） is a complex polynomial of degree n. H. W. Kuhn constructed the sequences (zjk,djk), j=1,…,n,k=1,2,…such
关键词：ROOT POLYNOMIAL CONSTANTS ROOTS 
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