| Автор | Ward, D.E. |
| Дата выпуска | 1994 |
| dc.description | Just as first-order directional derivatives can be associated with concepts of tangent cone, so second-order directional derivatives of parabolic type can be naturally and profitably associated with second-order tangent sets. In this paper, a chain rule is presented for second-order directional derivatives whose corresponding tangent sets satisfy a short list of properties. This chain rule subsumes and sharpens previous results from the calculus of first- and second-order directional derivatives. Corollaries include second-order necessary optimality conditions for nondifferentiable programs. |
| Формат | application.pdf |
| Издатель | Gordon and Breach Science Publishers |
| Копирайт | Copyright Taylor and Francis Group, LLC |
| Тема | Tangent Cone |
| Тема | Tangent Set |
| Тема | Approximate Subdifferential |
| Тема | Parabolic Second-Order Epiderivative |
| Тема | Metric Regularity |
| Название | A chain rule for parabolic second-order epiderivatives |
| Тип | research-article |
| DOI | 10.1080/02331939408843917 |
| Electronic ISSN | 1029-4945 |
| Print ISSN | 0233-1934 |
| Журнал | Optimization |
| Том | 28 |
| Первая страница | 223 |
| Последняя страница | 236 |
| Аффилиация | Ward, D.E.; Department of Mathematics and Statistics, Miami University |
| Выпуск | 3-4 |
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