| 凸约束非线性方程组投影L—M算法的收敛速度 |
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| 引用本文： | 郭楠,陈卫忠.凸约束非线性方程组投影L—M算法的收敛速度[J].苏州市职业大学学报,2008,19(2):100-102. |
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| 作者姓名： | 郭楠 陈卫忠 |
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| 作者单位： | 1. 南京工程学院,基础部,江苏,南京,211167
2. 苏州市职业大学,基础部,江苏,苏州,215104 |
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| 摘 要： | 提出了一种非单调投影L-M方法求解凸约束非线性方程组，证明了在弱于非奇异条件的局部误差条件下，此算法具有局部二阶收敛速度。
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| 关 键 词： | 非线性方程组 凸约束 投影L—M方法 |
The Convergence of the Non-monotone Projected L-M Method for Convex Constrained Non-linear Equations |
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| GUO Nan,CHEN Wei-zhong.The Convergence of the Non-monotone Projected L-M Method for Convex Constrained Non-linear Equations[J].Journal of Suzhou Vocational University,2008,19(2):100-102. |
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| Authors: | GUO Nan CHEN Wei-zhong |
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| Institution: | GUO Nan, CHEN Wei-zhong(1.Nanjing Institute of Technology, Nanjing 211167, China; 2.Suzhou Vocational University, Suzhou 215104, China) |
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| Abstract: | The paper presents a new class of non-monotone projected Levenberg-Marquardt method for convex constrained nonlinear equations. It is proved that if provided a local error bound, which is weaker than the condition of nonsingularity for the system of non-linear equations, the sequence generated by the new L-M method converges to a point of solution that is set quadratically. |
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| Keywords: | non-linear equations convex constraints projected L-M method |
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