论文标题
部分可观测时空混沌系统的无模型预测
Generalized solutions of Polynomial and Transcendental Equations by the strong method of (Generalized Iterative Method approximation of Roots (GRIM) )
论文作者
论文摘要
在本文中，我们解释了一个新的迭代方法固定点，并开发其收敛理论，用于在Banach空间的环境中找到非线性方程的近似解。首先，根据广义定理[1] [1]，我们将方程分为衍生的函数，讨论我们方法的收敛分析，以求解多项式和超验方程。求解方程（无论是多项式还是先验性）仅通过对根部进行分类而不是通过单个间隔进行搜索的某些过程来解决，并且过去所有现有方法都遵循这种方式。但是过去开发的方法仅限于孤立的间隔，而无需一般接受。最后，通过牛顿加快根源发现的方法来加强该方法。在分析结束时，我们给出了该方法应用的几个示例。
In this paper, we explain a new Iterative Method-Fixed Point and develop its convergence theory for finding approximate solutions of nonlinear equations in the setting of Banach spaces. First, we discuss the convergence analysis of our method by separating the equation into functions from which it is derived and the remaining part of the equation, according to the Generalized Theorem[1] for solving polynomial and transcendental equations. Solving an equation, either polynomial or transcendental, is solved only by categorizing the roots and not by some procedure of searching in individual intervals and this way was followed in the past by all existing methods. But the methods developed in the past are limited to isolated intervals without general acceptance. Finally, the method is strengthened by Newton's method to speed up the finding of the roots. At the end of the analysis, we give several examples of the application of the method.
