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| 非线性方程组求解的新方法 | |
| 引用本文： | 李涛,刘华伟,陈耀元.非线性方程组求解的新方法[J].武汉理工大学学报(交通科学与工程版),2009,33(3):569-572. |
| 作者姓名： | 李涛 刘华伟 陈耀元 |
| 作者单位： | 1. 哈尔滨工程大学船舶工程学院,哈尔滨,150001;驻哈尔滨地区舰船配套军事代表室,哈尔滨,150046 2. 哈尔滨工程大学核科学与技术学院,哈尔滨,150001;武汉第二船舶设计研究所,武汉,430064 3. 武汉第二船舶设计研究所,武汉,430064 |
| 摘 要： | 提出了一种求解非线性方程组的方法.将非线性方程组的求解问题转化为最优化问题,对经典BFGS变尺度法进行改进:采用高精度通用数值算法求解函数梯度,采用新的数值解析法进行一维探索,进而有效地提高了BFGS变尺度法的效率和程序通用性;对遗传算法进行了改进.将改进的BFGS变尺度法与改进的遗传算法进行混合杂交,得到一种全局优化算法,数值测试表明该算法是可靠的. |
| 关 键 词： | 非线性方程组 最优化 变尺度法 遗传算法 数值 仿真 |
New Method for Nonlinear Systems of Equations Solution |
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| Li Tao,Liu Huawei,Chen Yaoyuan.New Method for Nonlinear Systems of Equations Solution[J].journal of wuhan university of technology(transportation science&engineering),2009,33(3):569-572. | |
| Authors: | Li Tao Liu Huawei Chen Yaoyuan |
| Institution: | College of Shipbuilding Engineering;Harbin Engineering University;Harbin 150001;Military Depute Office of Warship Outfit in Harbin Area;Harbin 150046;College of Nuclear Science and Technology;Harbin 150001;Wuhan Second Ship Design and Research Institute;Wuhan 430064 |
| Abstract: | A new method is presented for nonlinear systems of equations.The problem of solving nonlinear systems of equations is transformed into an optimization problem.The classical BFGS Quasi-Newton method is ameliorated to hold better efficiency and currency capability of program by adopting current algorithm for function grads and new numerical analytic method for one-dimensional search;a new improved genetic algorithm is advanced.The improved BFGS Quasi-Newton method and improved genetic algorithm are hybridized... |
| Keywords: | nonlinear systems of equations optimization Quasi-Newton method genetic algorithm numerical simulation |
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