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三维延拓Kantorovich法的迭代不收敛现象(PDF)

《温州职业技术学院学报》[ISSN:1006-6977/CN:61-1281/TN]

期数:
2016年03期
页码:
47-50
栏目:
应用技术
出版日期:
2016-09-25

文章信息/Info

Title:
Iteration Non-Convergence Phenomenon of Three-Dimensional Extended Kantorovich Method
作者:
林永静
温州职业技术学院建筑工程系；
Author(s):
LIN Yongjing
Architecture Engineering Department, Wenzhou Vocational & Technical College, Wenzhou, 325035, China
关键词:
三维延拓Kantorovich法; 简单形式; 迭代不收敛
Keywords:
Three-dimensional extended Kantorovich method;  Simple form;  Iteration non-convergence
分类号:
O241.8
DOI:
10.13669/j.cnki.33-1276/z.2016.060
文献标识码:
A
摘要:
将二维延拓Kantorovich法推广到三维延拓Kantorovich法时,通过大量数值算例发现了一个新现象,即如果采用简单形式的三维延拓Kantorovich法,那么会遇到迭代不收敛的数值困难。对此数值现象进行定性分析,可得出结论:三维延拓Kantorovich法并不是二维延拓Kantorovich法的简单推广,二者有着本质的不同。更多还原
Abstract:
When two-dimensional extended Kantorovich method is introduced to three-dimensional ex?tended Kantorovich method, a large number of numerical examples reveals a new phenomenon: if the simple three-dimensional extended Kantorovich method is used, the numerical difficulty of iteration non-convergence will occur. Qualitative analysis on this numerical phenomenon indicates that three-dimensional extended Kantorovich method is not a simple introduction of two-dimensional extended Kantorovich method, and they are different in nature.

参考文献/References

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备注/Memo

备注/Memo:
【基金】 浙江省教育厅一般科研项目(Y201225911);温州市科技计划项目(S20110002)
更新日期/Last Update: 2016-07-30