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解决非线性最小二乘问题的两种方法 被引量:4

Two methods solving non-linear least square problem
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摘要 给出非线性最小二乘问题的两种计算方法,利用非线性最小二乘法处理化学过程产量问题,得到非线性估计参数。结果表明:非线性最小二乘法收敛性较好,残差平方和较小。 In this paper,the author gives two kinds of calculation methods on non linear least square problem.The output problem in chemistry process is solved and non-liner least estimation parameters are got by applying non-liner least square method.The result shows not only clearly good convergence of non-iner least square method,but also little residual square sum.
作者 张春晓
机构地区 青海大学基础部
出处 《青海大学学报(自然科学版)》 2003年第5期60-64,共5页 Journal of Qinghai University(Natural Science)
关键词 最小二乘法 牛顿法 拟牛顿法 least square method Gauss-Newton method Stable Factorized Gauss-Newton method
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参考文献5

  • 1Howtley H O. The modified Gauss - Newdon Method for the Fitting of Non - linear Regression Functions by least squares[J]. Technometrics, 1961(3) :269- 280.
  • 2Marquardt D W.An algurithm for least squares estimation of nonlinear psrameters[J].Journal of the society for Industrial and Applied Mathemstics.1963, (11) :431-441.
  • 3Ma Xiaofang,Fung Richard Ying Kid.Chen xian-xu.Stable Factorized qussi-Newton Methods for nonlinear least-aquares problems[J]. Journal of computational and Mathematics,2001, (129):1 - 14.
  • 4Colub G H, Van Loan C F. Matrix Computations[M].Bdtimore:The Johns Hopkins Univensity Press,1983.
  • 5Neter John. William Wasserman, Kutner Michael H . Applied Liner Regression Models[ M]. Richchard: D. IRWIN. INC, 1983.539 - 541.

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