| 求矩阵复特征值的双种群改进遗传算法 |
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| 引用本文： | 刘向虎,李艳芳,何登旭.求矩阵复特征值的双种群改进遗传算法[J].计算机应用与软件,2009,26(8):52-55. |
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| 作者姓名： | 刘向虎 李艳芳 何登旭 |
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| 作者单位： | 1. 运城学院应用数学系,山西,运城,044000
2. 广西民族大学数学与计算机科学学院,广西,南宁,530006 |
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| 基金项目： | 国家民委科学基金项目，广西自然科学基金 |
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| 摘 要： | 针对矩阵复特征值的特点,提出采用双种群改进遗传算法并行求解复特征值的近似值.该算法中双种群采用实数编码,在遗传过程中每个种群都根据适应度自动选择其交叉概率和变异概率,使个体对环境变化具有自适应调节能力.变异中采用了柯西变异,可以使个体很快跳出局部极小.仿真结果表明,此算法可以达到一定的精度,具有一定的通用性,并给求矩阵复特征值提供了一种快速的方法.
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| 关 键 词： | 复特征值 双种群 自适应遗传算法 柯西变异 圆盘定理 |
IMPROVED DOUBLE POPULATIONS GENETIC ALGORITHM FOR SOLVING COMPLEX EIGENVALUE OF MATRIX |
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| Liu Xianghu,Li Yanfang,He Dengxu.IMPROVED DOUBLE POPULATIONS GENETIC ALGORITHM FOR SOLVING COMPLEX EIGENVALUE OF MATRIX[J].Computer Applications and Software,2009,26(8):52-55. |
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| Authors: | Liu Xianghu Li Yanfang He Dengxu |
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| Affiliation: | Department of Applied Mathematics;Yuncheng University;Yuncheng 044000;Shanxi;China;College of maths and Computer Science;Guangxi University for Nationalities;Nanning 530006;Guangxi;China |
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| Abstract: | In light of the character of complex eigenvalue of matrix,an improved double population genetic algorithm is proposed to use for solving the approximation of complex eigenvalue.In this algorithm the double populations use real-coding,each individual population selects its probability of crossover and mutation automatically according to its fitness,to make each individual owns the ability of self-adaption to the variation of the environment.Cauchy mutation is adopted in mutation,which enables the individual ... |
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| Keywords: | Complex eigenvalue Double population Self-adaptive genetic algorithm Cauchy mutation Circular disk theorem |
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