Necessary optimality conditions for abnormal problems with geometric constraints

The abnormal minimization problem with a finite-dimensional image and geometric constraints is examined. In particular, inequality constraints are included. Second-order necessary conditions for this problem are established that strengthen previously known results. © Nauka/Interperiodica 2007.

Authors
Arutyunov A.V. 1 , Karamzin D.Yu. 2
Journal
Computational Mathematics and Mathematical Physics
Issue number
3
Language
English
Pages
349-360
State
Published
Link
External link
DOI
10.1134/S0965542507030025
Volume
47
Year
2007
Organizations
  • 1 Department of Differential Equations, Russian University of Peoples' Friendship, ul. Miklukho-Maklaya 6, Moscow, 119198, Russian Federation
  • 2 Dorodnicyn Computing Center, Russian Academy of Sciences, ul. Vavilova 40, Moscow, 119991, Russian Federation
Keywords
Abnormal problems; Geometric constraints; Index of a quadratic form; Second-order necessary conditions
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