On sequential optimality conditions for smooth constrained optimization
On sequential optimality conditions for smooth constrained optimization
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DOI：
10.1080/02331930903578700
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发表时间：
2011-01
期刊：
影响因子：
2.2
通讯作者：
R. Andreani;G. Haeser;J. Martínez
中科院分区：
文献类型：
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作者：
R. Andreani;G. Haeser;J. Martínez
序列最优性条件为非线性规划求解器的停止准则提供了充分的理论工具。本文分析了近似Karush-Kuhn-Tucker投影条件和近似梯度投影条件。这些条件不一定是等价的。不同的条件和反例之间的影响将显示。将讨论化学后果。
Sequential optimality conditions provide adequate theoretical tools to justify stopping criteria for nonlinear programming solvers. Approximate Karush–Kuhn–Tucker and approximate gradient projection conditions are analysed in this work. These conditions are not necessarily equivalent. Implications between different conditions and counter-examples will be shown. Algorithmic consequences will be discussed.