|
|||||
|
|
New bifurcation theorems via the second-order optimality conditions |
|
| Authors: | AV Arutyunov V Ja?imovi? |
| Institution: | a Peoples Friendship University, Miklukho-Maklaya Str. 6, 117198 Moscow, Russia b Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Operations Research, Leninskiye Gori, GSP-2, 119992 Moscow, Russia c Faculty of Natural Sciences, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro |
| Abstract: | We derive new sufficient conditions for bifurcation relying on subtle second-order necessary optimality conditions for abnormal equality-constrained optimization problems. We relate these conditions to the known ones, and demonstrate the cases when the new conditions are easier to verify. |
| Keywords: | Parametric nonlinear equation Constant solution Bifurcation Constrained optimization Second-order optimality conditions 2-normality |
| 本文献已被 ScienceDirect 等数据库收录！ | |