| 求解非线性最小二乘全局解基于最速下降法和遗传算法的混合算法 |
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| 引用本文： | 赵明旺.求解非线性最小二乘全局解基于最速下降法和遗传算法的混合算法[J].系统工程与电子技术,1997(8). |
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| 作者姓名： | 赵明旺 |
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| 基金项目： | 武汉市科委“晨光计划”的资助课题 |
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| 摘 要： | 本文通过在遗传算法中嵌入一个最速下降算子,并定义适应度函数、选择算子和数据结构,从而得到可结合遗传算法和最速下降法两者长处,既有较快收敛性,又能以较大概率求得非线性最小二乘问题全局解的混合算法.数值计算表明该方法显著优于遗传算法和最速下降法.
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| 关 键 词： | 算法 算子 非线性方程 |
A Hybrid Algorithm for Globally Nonlinear Least-Squares Solution Based on Genertic Algorithm and Steepest Decent Method |
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| Abstract: | In this paper, through a Newton operator embedded into the genetic algorithm and a fitness function, a selecting operator, and a numerical structure, a hybrid algorithm for solving the global solution of the nonlinear least-squares problem, is got with the faster con-vergence and the greater prpbability for the global solution. The method combines the ad-vances of both the genetic algorithm and the Newton algorithm, and the numerical computing results show that it is distinctly superior to the two algorithm above. |
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| Keywords: | Computational intelligent Genetic algorithm Newton algorithm Nonlinear leastsquares problem Fitness |
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