Second-order asymptotic analysis for noncoercive convex optimization (Q684131)
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scientific article; zbMATH DE number 6836890
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Second-order asymptotic analysis for noncoercive convex optimization |
scientific article; zbMATH DE number 6836890 |
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Second-order asymptotic analysis for noncoercive convex optimization (English)
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9 February 2018
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The author uses second-order asymptotic analysis to deal with the minimization problem of a noncoercive convex function in a reflexive Banach space. To that end, the author first introduces the definition of a second-order asymptotic cone, and its respective function, based on previous results for the finite-dimensional case. Necessary and sufficient conditions for the existence of solutions for noncoercive convex minimization problems are provided.
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asymptotic cones and functions
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second-order asymptotic functions
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convex optimization
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optimality conditions
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