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
Number of issue
3
Language
English
Pages
349-360
Status
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
Date of creation
19.10.2018
Date of change
19.10.2018
Short link
https://repository.rudn.ru/en/records/article/record/3265/
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Memorias do Instituto Oswaldo Cruz. Vol. 102. 2007. P. 242-243