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

L. R. Huang
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L. R. Huang: South China Normal University

Journal of Optimization Theory and Applications, 2005, vol. 125, issue 1, No 13, 246 pages

Abstract: Abstract 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).

Keywords: Optimization; necessary and sufficient conditions; directional derivatives; second-order directional derivatives (search for similar items in EconPapers)
Date: 2005
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Citations: View citations in EconPapers (2)

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DOI: 10.1007/s10957-004-1726-2

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