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计算数学  1992 

A SEPARATING METHOD FOR GENERALIZED NONLINEAR LEAST SQUARES PROBLEMS
广义非线性最小二乘问题的一个分离解法

Keywords: GNLS问题,分离解法,混合GN-BFGS法

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Abstract:

This paper presents a hybrid GN-BFGS method for the solution of gener alized nonlinearleast squares problems. The first order necessary condition of a stationary points is used toeliminate the dependence of the variable vec~+or in the objective function, giving a lower di-mensional separated problem. Then the subproblem is solved using the hybrid GN-BFGS me-thod which combines the better features of both the Gauss-Newton and BFGS methods.

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