DC复合优化问题的Lagrange对偶及Farkas引理
Lagrange Duality and Farkas’ Lemma for DC Composite OptimizationProblems
DOI: 10.12677/AAM.2026.159380, PDF,   
作者: 吴陈茜:吉首大学数学与统计学院,湖南 吉首
关键词: DC复合优化零对偶强对偶Farkas 引理DC Composite Optimization Zero Duality Strong Duality Farkas’ Lemma
摘要: 通过引入新的约束规范条件,等价刻画了DC 复合优化问题与其Lagrange对偶问题之间的弱对偶、零对偶、强对偶及Farkas引理,推广和改进了前人的相关结论。
Abstract: By introducing a new constraint qualification, we equivalently characterize weak duality, zero duality, strong duality and Farkas’ lemma between a DC composite optimization problem and its Lagrange dual problem, which generalizes and improves the relevant conclusions in existing literature.
文章引用:吴陈茜. DC复合优化问题的Lagrange对偶及Farkas引理[J]. 应用数学进展, 2026, 15(9): 137-149. https://doi.org/10.12677/AAM.2026.159380

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