一种求解约束非线性方程组的非单调修正LM算法

赵琪

doi:10.12184/wspfzjyxWSP2634-793813.20250603

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Volume 6, Issue 3

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一种求解约束非线性方程组的非单调修正LM算法
一种求解约束非线性方程组的非单调修正LM算法
淮北理工学院，安徽淮北 235000
Vol. 6, Issue 3, Pages: 50-53(2025)
Published：30 March 2025
DOI：10.12184/wspfzjyxWSP2634-793813.20250603
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赵琪.一种求解约束非线性方程组的非单调修正LM算法[J].发展教育学,2025,06(03):50-53.

赵琪. 一种求解约束非线性方程组的非单调修正LM算法[J]. Development pedagogy, 2025, 6(3): 50-53.
赵琪.一种求解约束非线性方程组的非单调修正LM算法[J].发展教育学,2025,06(03):50-53. DOI： 10.12184/wspfzjyxWSP2634-793813.20250603.

赵琪. 一种求解约束非线性方程组的非单调修正LM算法[J]. Development pedagogy, 2025, 6(3): 50-53. DOI： 10.12184/wspfzjyxWSP2634-793813.20250603.

摘要

本文运用绝对值松弛变量函数将约束非线性方程转化为一个半光滑方程组，然后对其进行光滑化处理. 针对此非线性方程组，提出一种融合非单调线搜索技术与信赖域技术的修正LM算法.在特定假设下，该算法具有全局收敛性.数值实验结果表明，该算法具有可行性和有效性。

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