|
|||||
|
|
Second-order conditions in extremal problems. The abnormal points |
|
| Authors: | A V Arutyunov |
| Institution: | Department of Differentional Equations and Functional Analysis, Peoples Friendship University of Russia, Moscow 117198, Mikluka-Maklai, 6, Russia |
| Abstract: | In this paper we study a minimization problem with constraints and obtain first- and second-order necessary conditions for a minimum. Those conditions - as opposed to the known ones - are also informative in the abnormal case. We have introduced the class of 2-normal constraints and shown that for them the ``gap" between the sufficient and the necessary conditions is as minimal as possible. It is proved that a 2-normal mapping is generic. |
| Keywords: | Abnormal point Lagrange multipliers second-order necessary conditions index of quadratic form 2-normal mapping |
| 点击此处可从《Transactions of the American Mathematical Society》浏览原始摘要信息 | |
| 点击此处可从《Transactions of the American Mathematical Society》下载免费的PDF全文 | |