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Note on the Second-Order Convergence of Optimization Algorithms Using BarrierFunctions

机译：关于使用BarrierFunction的优化算法的二阶收敛性的注记

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It has long been known that barrier algorithms for constrained optimization canproduce a sequence of iterates converging to a critical point satisfying weak second-order necessary optimality conditions, when their inner iterations ensures that second-order necessary conditions hold at each barrier minimizer. The authors show that, despite this, strong second-order necessary conditions may fail to be attained at the limit, even if the barrier minimizers satisfy second-order sufficient optimality conditions.

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作者
Gould, N. I. M.; Toint, P. L.;
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年度 1997
页码 1-10
总页数 10
原文格式 PDF
正文语种 eng
中图分类工业技术;
关键词
Barrier functions; Optimization algorithms; Constrained optimization;

机译：障碍函数;优化算法;约束优化;

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2. A note on the convergence of barrier algorithms to second-order necessary points [J] . Gould NIM., Toint PL. Mathematical Programming . 1999,第2期

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Note on the Second-Order Convergence of Optimization Algorithms Using BarrierFunctions

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