Smooth positive extensions and nonlinear programming
| Autor: | N. B. Waite |
|---|---|
| Rok vydání: | 1994 |
| Předmět: |
Discrete mathematics
Pure mathematics Control and Optimization Closed set Euclidean space Applied Mathematics Zero (complex analysis) Function (mathematics) Extension (predicate logic) Management Science and Operations Research Space (mathematics) Nonlinear programming Complement (set theory) Mathematics |
| Zdroj: | Journal of Optimization Theory and Applications. 80:537-549 |
| ISSN: | 1573-2878 0022-3239 |
| DOI: | 10.1007/bf02207779 |
| Popis: | We establish a smooth positive extension theorem: Given any closed subset of a finite-dimensional real Euclidean space, a function zero on the closed set can be extended to a function smooth on the whole space and positive on the complement of the closed set. This result was stimulated by nonlinear programming. We give several applications of this result to nonlinear programming. |
| Databáze: | OpenAIRE |
| Externí odkaz: |
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