Separate Necessary and Sufficient Conditions for the Local Minimum of a Function

被引:0
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作者
L. R. Huang
机构
[1] South China Normal University,Professor, Department of Mathematics
关键词
Optimization; necessary and sufficient conditions; directional derivatives; second-order directional derivatives;
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中图分类号
学科分类号
摘要
This paper develops two necessary conditions for a local minimum of an arbitrary extended real-valued function (Theorem 2.2) and, quite separately, two conditions, each sufficient for such a function to have a strict local minimum (Theorem 2.3).
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页码:241 / 246
页数:5
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