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改进的单纯形法及其在非线性参数估计中的应用
引用本文:李春风,许承权,蒲文利.改进的单纯形法及其在非线性参数估计中的应用[J].海洋测绘,2009,29(6):14-16.
作者姓名:李春风  许承权  蒲文利
作者单位:1. 天津开发区测量队,天津,300457
2. 闽江学院,地理科学系,福建,福州,350108
摘    要:采用了改进的单纯形法,该算法利用遗传算法的变异操作来增强单纯形法的全局搜索能力,既兼顾了全局收敛性,又具有高效的局部搜索能力。并通过实例验证了该算法的优越性,以及应用于测量上的非线性最小二乘估计的可行性。

关 键 词:导线测量  单纯形法  非线性参数估计  全局优化

Improved Simplex Method for Nonlinear Least Squares Estimation
LI Chun-feng,XU Cheng-quan,PU Wen-li.Improved Simplex Method for Nonlinear Least Squares Estimation[J].Hydrographic Surveying and Charting,2009,29(6):14-16.
Authors:LI Chun-feng  XU Cheng-quan  PU Wen-li
Institution:1. Surveying Party of Tianjin Economic-Technological Development Area,Tianjin,300457; 2. Department of Geography Science, Minjiang University, Fuzhou, Fujian,350108 )
Abstract:In this paper, an improved algorithm on the simplex method for nonlinear least squares estimation is presented. This improved simplex method combined the advances of fast convergence and great probability for global optimization. Two examples are set to justify that the method is excellent simplex method in global optimization, and it' s suitable for nonlinear funtion optimization in survey technology.
Keywords:traverse survey  simplex method  nonlinear least squares estimation  global optimization
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