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具有参数超平方收敛的抛物线法公式类 被引量:1

A Class of Parametric Parabola Method Formulas of Super-quadratic Convergence
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摘要 在有记忆单点迭代的Muller法中,通过引入多点迭代思想,提出了一类具有参数有记忆两点迭代的抛物线法公式,其收敛阶为1+2,达到了超平方收敛.并且给出了该类方法的最佳迭代参数,使其收敛阶达到3.30.数值试验表明该类方法优于Muller法和Newton法. By introducing multipoint iteration into the memory single-point Muller's method,the research hsd established parametric memory two-point iterative parabola method formulas,proving their order of convergence,giving the optimum iteration parameter of 3.30 order of convergence.Numerical examples show that these new methods are more efficient than Muller's method and Newton's method.
作者 杨明波
出处 《河南师范大学学报(自然科学版)》 CAS CSCD 北大核心 2011年第5期16-19,共4页 Journal of Henan Normal University(Natural Science Edition)
基金 河南省精品课程项目资助
关键词 非线性方程 NEWTON法 Muller法 最佳迭代参数 nonlinear equation Newton's method Muller's method optimum iteration parameter
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