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Levenberg-Marquardt型非线性最小二乘算法的收敛性
THE CONVERGENCE OF LEVENBERG-MARQUARDT TYPE NONLINEAR LEAST SQUARES ALGORITHMS
【摘要】 <正> 在无约束最优化问题中,目标函数常常具有某些特殊的形式,最常见的一种是若干个函数的平方和形式,即
【Abstract】 In this paper, we prove the convergence of two Levenberg-Marquardt type nonli-near least squares algorithms. One was improved by Fletcher and the other was amodification to Meyer’s algorithm. In contrast to [6], the boundedness of dampingfactor series becomes a conclusion here instead of an assumption.
- 【文献出处】 计算数学 ,Mathematica Numerica Sinica , 编辑部邮箱 ,1982年02期
- 【被引频次】7
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