Journal of Physics A: Mathematical and Theoretical. Vol. 42. 2009.
New bifurcation theorems via the second-order optimality conditions
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. © 2009 Elsevier Inc. All rights reserved.
Authors
Arutyunov A.V. 1 , Izmailov A.F. 2 , Jaćimović V. 3
Publisher
Academic Press Inc.
Issue number
2
Language
English
Pages
752-764
State
Published
Link
Volume
359
Year
2009
Organizations
- 1 Peoples Friendship University, Miklukho-Maklaya Str. 6, 117198 Moscow, Russian Federation
- 2 Moscow State University, Faculty of Computational Mathematics and Cybernetics, Department of Operations Research, Leninskiye Gori, GSP-2, 119992 Moscow, Russian Federation
- 3 Faculty of Natural Sciences, University of Montenegro, Cetinjski put bb, 81000 Podgorica, Montenegro, Montenegro
Keywords
2-normality; Bifurcation; Constant solution; Constrained optimization; Parametric nonlinear equation; Second-order optimality conditions
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Other records
Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol. 5764 LNCS. 2009. P.. 143-153