计算机工程与应用 ›› 2009, Vol. 45 ›› Issue (28): 41-42.DOI: 10.3778/j.issn.1002-8331.2009.28.012
• 研究、探讨 • 上一篇 下一篇
阳万安，曾安平
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YANG Wan-an，ZENG An-ping
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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。
关键词: 非线性方程组, 粒子群优化, 初值, Levenberg-Marquardt算法
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.
Key words: nonlinear equation group, particle swarm optimization, initial guess, Levenberg-Marquardt（LM） algorithm
中图分类号:
TP301.6
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.
YANG Wan-an，ZENG An-ping. New method of solving complicated nonlinear equation group[J]. Computer Engineering and Applications, 2009, 45(28): 41-42.
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http://cea.ceaj.org/CN/Y2009/V45/I28/41
