摘要
本文在MATLAB环境下采用一种大范围收敛的算法同伦算法,研究了非线性方程组的数值解法,由于同伦算法对初始值没有严格限制,计算工作量较小,算法较简单,而且成功率较高,再结合Matlab编制同伦算法的求解软件,显现出极大的优越性,使用时只需编制相应的M文件,简便快捷,克服了同伦算法编程复杂的缺点,采用这种方法求解非线性方程问题,效果较好,为同伦算法的应用和推广奠定了基础,具有重要的理论意义和实际应用价值.
In this paper,the algorithm is a widely convergent homotopy algorithm in the MATLAB environment.It studies the numerical solution of nonlinear equations,and the homotopy algorithm is not restricted to the initial,less computation.The algorithm is relatively simple,but the success rate is high.It is combined with the software Matlab for preparation of homotopy algorithm,showed great superiority,uses only the corresponding M file,simple and quick,and overcomes the shortcomings of complex homotopy algorithm programming,Using this method for solving nonlinear equations,we get good effect,has laid the foundation for the application and popularization of the homotopy algorithm,and has the important theoretical significance and practical application value.
出处
《白城师范学院学报》
2013年第3期9-12,共4页
Journal of Baicheng Normal University
基金
吉林省教育科学"十一五"社会科学课题研究项目(吉教科之合字[2010]516)
