| 求解非线性方程组的一种新方法及应用 |
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| 引用本文： | 朱铁锋. 求解非线性方程组的一种新方法及应用[J]. 齐齐哈尔轻工业学院学报, 2012, 0(1): 86-88,91 |
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| 作者姓名： | 朱铁锋 |
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| 作者单位： | 内蒙古师范大学青年政治学院计算机系,呼和浩特010051 |
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| 基金项目： | 内蒙占师范大学青年政治学院2011年度科研项目（zc1101） |
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| 摘 要： | 针对非线性方程组求解问题提出一种变异量子粒子群算法，该算法首先把非线性方程组的求解转化为约束优化问题，然后根据可行性规则，引入约束违反度函数，结合变异算子，不断地寻找更优可行解，逐渐达到搜索全局最优解。数值实验表明，所设计变异量子粒子群算法是可行的、有效的，是求解非线性组的一种成功算法。
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| 关 键 词： | 非线性方程组 量子粒子群算法 约束优化 可行性 |
A new method for solving systems of nonlinear equations and application |
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| ZHU Tie-feng. A new method for solving systems of nonlinear equations and application[J]. , 2012, 0(1): 86-88,91 |
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| Authors: | ZHU Tie-feng |
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| Affiliation: | ZHU Tie-feng Department of Computer Science, Youth College of Political Science of Inner Mongolia Normal University, Hohhot 010051, China ) |
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| Abstract: | This paper presents a mutation quantum behaved particle swarm optimization for solving the nonlinear equations problems, which is first transformed to constrained optimization, and is based on constraint-handing mechanism,constrained voilation function,and mutation operator, and can continuously find better feasible solutions, gradually leading the search near the true optimum solution. Numerical result show that mutation QPSO is feasible and efficient,and is a successful approach in solving systems of nonlinear equations. |
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| Keywords: | systems of nonlinear equations QPSO algorithm constrained optimization feasibility |
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