刘天宝

个人信息Personal Information

副教授

硕士生导师

教师拼音名称:liutianbao

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所在单位:数学与统计学院

学历:博士研究生毕业

性别:男

学位:博士学位

在职信息:在职

毕业院校:吉林大学

论文成果

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【ScI】A New Family of Iterative Methods Based on an Exponential Model for Solving Nonlinear Equations

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所属单位:数学与统计学院

教研室:数学教研室

发表刊物:Journal of Applied Mathematics

项目来源:其他课题

关键字:Newton’s method;Iterative Method;Nonlinear Equation;Exponential Model

摘要:We present two new families of iterative methods for obtaining simple roots of nonlinear equations.The first family is developed by fitting the model to the function and its derivative at a point. In order to remove the second derivative of the first methods, we construct the second family of iterative methods by approximating the equation around the point by the quadratic equation. Analysis of convergence shows that the new methods have thirdorderor higher convergence. Numerical experiments show that new iterative methods are effective and comparable to those of the well-known existing methods.

第一作者:刘天宝

论文类型:期刊论文

卷号:2013

期号:2013

页面范围:1

字数:2

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发表时间:2013-11-02