非线性方程组数值方法的研究进展  

Progress in the Research of Nonlinear Equations Via Numerical Methods

作　　者：夏林林[1] 户晗蕾[1] 吴开腾[2] 

机构地区：[1]四川师范大学数学与软件科学学院,四川成都610066 [2]内江师范学院 四川省高等学校数值仿真重点实验室,四川内江641100

出　　处：《内江师范学院学报》2013年第10期12-17,共6页Journal of Neijiang Normal University

基　　金：国家自然科学基金(10872085);四川省教育厅创新团队计划项目(13TD00001)

摘　　要：首先综述了非线性方程组数值解法的研究现状、应用领域,并简述了其发展趋势,再着重介绍了迭代法、大范围收敛法、人工智能算法等实用性较强的方法.分析了当前的研究概况和水平,结合目前国内外研究成果总结了有待解决的问题.First, a review is made of the research progress in the field of nonlinear equations numerical methods and a brief introduction of its development trend is given. Then our attention is focused on the elaboration of iterative method, largescale convergence methods, artificial intelligence algorithms which are of great practical use. Finally, analysis is made of the current research situation and level and in combination with the research achievements home and abroad the problems unresolved are summed up.

关 键 词：研究现状 发展趋势 迭代法 大范围收敛法 

分 类 号：O241.7[理学—计算数学]