| 求解复杂非线性方程组的新方法 |
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| 引用本文： | 阳万安,曾安平. 求解复杂非线性方程组的新方法[J]. 计算机工程与应用, 2009, 45(28): 41-42. DOI: 10.3778/j.issn.1002-8331.2009.28.012 |
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| 作者姓名： | 阳万安 曾安平 |
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| 作者单位： | 宜宾学院 计算机与信息科学系，四川 宜宾 644000 |
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| 摘 要： | 提出了一种求解非线性方程组的数值方法，将求解非线性方程组的解转化为函数优化问题，应用粒子群优化算法求出一个近似解，将此解作为初始猜测值，进一步应用Levenberg-Marquardt（LM）算法求得更高精度的解，提高了时间效率。
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| 关 键 词： | 非线性方程组 粒子群优化 初值 Levenberg-Marquardt算法 |
| 收稿时间： | 2009-03-26 |
| 修稿时间： | 2009-5-18 |
New method of solving complicated nonlinear equation group |
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| YANG Wan-an,ZENG An-ping. New method of solving complicated nonlinear equation group[J]. Computer Engineering and Applications, 2009, 45(28): 41-42. DOI: 10.3778/j.issn.1002-8331.2009.28.012 |
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| Authors: | YANG Wan-an ZENG An-ping |
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| Affiliation: | Department of Computer and Information Science，Yibin University，Yibin，Sichuan 644000，China |
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| Abstract: | A numeric method of solving nonlinear equation group is proposed.The problem of solving nonlinear equation group is equivalently changed to the problem of function optimization，and then a solution is obtained by particle swarm optimization，considering it as the initial guess of Levenberg-Marquardt algorithm，a more accurate solution can be obtained，as a result，time efficiency is improved. |
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| Keywords: | nonlinear equation group particle swarm optimization initial guess Levenberg-Marquardt（LM） algorithm |
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