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Avtomatika i Telemekhanika, 1978, Issue 6, Pages 116–125 (Mi at9755)  
Developing Systems

On decomposition of linear functional problems. I. Linear programming in a Hilbertian space

V. I. Charnyi

Moscow
Full-text PDF (1420 kB)
Abstract: The paper is concerned with search for a feasible solution of a functional linear programming problem (FLPP); a decompsitional approach is proposed in which the FLPP is interpreted as a problem of finding the intersectional point of two convex sets of a certain functional space, and than solved by the method of successing design or its modification. The problem of mapping on one of the sets is decomposed into a specified number of independent subproblems and the one of mapping on another set is solved in a finite form.

Received: 25.03.1977
Bibliographic databases:
Document Type: Article
UDC: 519.82
Language: Russian
Citation: V. I. Charnyi, “On decomposition of linear functional problems. I. Linear programming in a Hilbertian space”, Avtomat. i Telemekh., 1978, no. 6, 116–125; Autom. Remote Control, 39:6 (1978), 874–882
Citation in format AMSBIB
\Bibitem{Cha78}
\by V.~I.~Charnyi
\paper On decomposition of linear functional problems. I. Linear programming in a Hilbertian space
\jour Avtomat. i Telemekh.
\yr 1978
\issue 6
\pages 116--125
\mathnet{http://mi.mathnet.ru/at9755}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=519898}
\zmath{https://zbmath.org/?q=an:0432.90082}
\transl
\jour Autom. Remote Control
\yr 1978
\vol 39
\issue 6
\pages 874--882
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