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Avtomatika i Telemekhanika, 1985, Issue 3, Pages 98–103 (Mi at6910)  
Simulation of Behavior and Intelligence

An algebraic criterion for local nondomination

Yu. V. Remizov

Moscow
Full-text PDF (1113 kB)
Abstract: The notion of a version locally noninferior by a binary relation is introduced that is an extension of the notion of local maximum to vectorial mappings. Differential conditions for local noninferiority are studied. For a class of smooth general functions of general position existence of an algebraical criterion of local noninf eriority of the verrsion is proved in the case of a binary relation specified by a field of semi-algebraical order cones.

Received: 15.03.1984
Bibliographic databases:
Document Type: Article
UDC: 62-505
Language: Russian
Citation: Yu. V. Remizov, “An algebraic criterion for local nondomination”, Avtomat. i Telemekh., 1985, no. 3, 98–103; Autom. Remote Control, 46:3 (1985), 363–368
Citation in format AMSBIB
\Bibitem{Rem85}
\by Yu.~V.~Remizov
\paper An algebraic criterion for local nondomination
\jour Avtomat. i Telemekh.
\yr 1985
\issue 3
\pages 98--103
\mathnet{http://mi.mathnet.ru/at6910}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=807459}
\zmath{https://zbmath.org/?q=an:0578.90042}
\transl
\jour Autom. Remote Control
\yr 1985
\vol 46
\issue 3
\pages 363--368
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