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| 递推数列x_(n+1)=f(x_n)的单调性与收敛性讨论 | |
| 引用本文： | 吴延东. 递推数列x_(n+1)=f(x_n)的单调性与收敛性讨论[J]. 大学数学, 2009, 25(3) |
| 作者姓名： | 吴延东 |
| 作者单位： | 淮阴工学院,计算科学系,江苏,淮安,223001 |
| 摘 要： | 利用函数单调递增对递推数列xn+1=f(xn)单调性进行讨论,在对递推数列收敛性作分析的基础上,得到使得递推数列收敛的初始迭代值的区域,讨论的方法可以用于类似问题的研究. |
| 关 键 词： | 递推数列 收敛性 不动点 |
A Discuss on Monotonicity and Convergence of Iterative Sequences x_(n+1)=f(x_n) |
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| WU Yan-dong. A Discuss on Monotonicity and Convergence of Iterative Sequences x_(n+1)=f(x_n)[J]. College Mathematics, 2009, 25(3) | |
| Authors: | WU Yan-dong |
| Affiliation: | Department of Computing Science Huaiyin Institute of Technology;Huaian;Jiangsu 223001;China |
| Abstract: | We use the method of function monotony increase to discuss sequence monotonicity,and gain the iterative sequence convergence district about first value.The method is useful to research parallelism problem. |
| Keywords: | iterative sequence convergence fixed point |
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