一类非线性算子的迭代求解

Convergence and Study on Algorithm of Iterative Series for a Class of Nonlinear Operator

应用简单迭代法,研究了工程技术上一类非线性方程f(x)=x+1/ksinf(x)(k>1)的收敛性,对算法进行了研究,并用c语言编出了算法程序,并进行了误差分析和估计。研究的结果改进并拓广了前人的工作。

A simple iterative method is applied to study the convergence of a class of nonlinear equations on engineering and technology：f（x） = x ＋ 1/ksinf（x） （k 〉 1）. The algorithms are discussed;the program on algorithms is worked out; the errors are estimated and analyzed, which improves the former work done by others.