摘要
就一些理论与计算问题中经常考察的单点迭代序列x_1=a,x_(n+1)=f(x_n)(n=1,2,……),探讨在迭代序列收敛的条件下,估计其收敛的阶.通过推算得到一些较为精确的结论,并给出了一种如何讨论迭代序列收敛阶估计的方法.
To study natural phenomena and social phenomena, or to solve engineering problems, often encounter in nonlinear equations. The iterative method for solving nonlinear equations is an important algorithm. Now, the iterative method of solving nonlinear problems is increasingly becoming the core of the merits of choice and iter- ative convergence order of the estimated direct impact on the results of various non-linear problem solving, good or bad, so the convergence and convergence order estimates studies are of great scientific value and practical meaning. In this paper, some theoretical and computational problems in the regular surveys of single-point iterative sequence are discussed as to draw some more accurate conclusions and find methods of it.
出处
《临沂师范学院学报》
2010年第3期68-72,共5页
Journal of Linyi Teachers' College
关键词
迭代序列
收敛
阶
iterative sequences
convergence
order
