]*>","")" /> 求解非线性最小二乘问题的实用型方法

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求解非线性最小二乘问题的实用型方法

薛毅,杨中华   

  1. 北京工业大学应用数学系!北京 100022;北京工业大学应用数学系!北京 100022
  • 出版日期:2000-03-20 发布日期:2000-03-20

薛毅,杨中华. 求解非线性最小二乘问题的实用型方法[J]. 数值计算与计算机应用, 2000, 21(3): 208-215.

PRACTICAL METHOD FOR SOWING NONLINEAR LEAST SQUARE PROBLEM

  1. Xue Yi,Yang Zhong-hua (Beijing Polytechnic University, Beijing 100022, China)
  • Online:2000-03-20 Published:2000-03-20
The practical method is proposed in this papers which is based on the iterative method for solving linear system of equations. The normal equations are solved directly by the algorithm and a minimum norm solution can be obtained when coefficient matrix of normal equation is singular, so that the sequence generated by the algorithm may be convergent. The numerical examples illustrate the algorithm is very efficient for singular problem or ill-condition problem.
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[1]陈志,薛毅,求解线性方程组的一类新算法,高校计算数学学报,14:3(1992),247-252.
[2]席少霖,非线性最优化方法,高等教育出版社,1992.
[3] More, J.J., Grabow, B.S., Hillstrom, K.E., Testing Unconstrained Optimization Software,ACM Trans-action on Mathematical Software, Vol 7 (1981), 17-41.
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