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| 一种新的基于Matlab环境的同伦路径跟踪算法 | |
| 引用本文： | 惠兴杰,李霞,陈一鸣. 一种新的基于Matlab环境的同伦路径跟踪算法[J]. 东北大学学报(自然科学版), 2007, 28(5): 620-622. DOI: - |
| 作者姓名： | 惠兴杰 李霞 陈一鸣 |
| 作者单位： | 东北大学,秦皇岛分校,河北秦皇岛,066004;燕山大学,理学院,河北秦皇岛,066004 |
| 摘 要： | 由于同伦延拓算法不需要初始值就能求出非线性方程组的解,但计算量大,为此利用Matlab平台和它里面的函数“”,采用割线预估和牛顿校正,提出了一种新的路径跟踪算法基于Matlab环境的同伦路径跟踪算法.算例证明:该算法正确、简便易行、可靠性高,为同伦算法提供了简便的实现方法. |
| 关 键 词： | 同伦延拓算法 " ＼" 割线预估 Matlab 跟踪 |
| 文章编号： | 1005-3026（2007）05-0620-03 |
| 收稿时间： | 2006-05-15 |
| 修稿时间： | 2006-05-15 |
A New Homotopic Path-Tracking Algorithm Based on Matlab |
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| HUI Xing-jie,LI Xia,CHEN Yi-ming. A New Homotopic Path-Tracking Algorithm Based on Matlab[J]. Journal of Northeastern University(Natural Science), 2007, 28(5): 620-622. DOI: - | |
| Authors: | HUI Xing-jie LI Xia CHEN Yi-ming |
| Affiliation: | 1. Branch of Qinhuangdao, Northeastern University, Qinhuangdao 066004, China; 2. School of Sciences Yanshan University, Qinhuangdao 066004, China |
| Abstract: | The homotopy continuation algorithm can solve non-linear equations without initial values,but lots of computation shall be done.Therefore,a new homotopic path-tracking algorithm based on Matlab and its function"" is proposed using secant-prediction and Newton-correction.Examples showed that the algorithm is correct,simple,convenient and reliable,thus offering a way to implement easily the homotopy algorithm. |
| Keywords: | Matlab |
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