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求解非线性方程的蛛网-迭代算法 被引量:2

Cobweb-iterative algorithm for solving nonlinear equations
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摘要 用蛛网迭代算法求解非线性方程,只要求函数在定义域内存在反函数;由定理及其证明可知,不动点迭代是该迭代方法的特殊情况;通过数值实验进一步证明了该方法的有效性和实用性。 Cobweb-iterative algorithm is used to solve nonlinear equations. This paper requires that inverse functions exist in the function field. The theorem can prove that fixed point iteration is a special circumstance of cobweb iterative algorithm.The effectiveness and practicality of this method are further testified by numerical experiments.
出处 《计算机工程与应用》 CSCD 北大核心 2015年第15期28-31,共4页 Computer Engineering and Applications
基金 国家自然科学基金(No.61170317) 河北省自然科学基金(No.A2011209046)
关键词 蛛网模型 迭代 非线性方程 cobweb model iterative nonlinear equation
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