Матричная выпуклость

The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.”

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Bibliographische Detailangaben
Datum:1995
1. Verfasser: Остапенко, В.В.
Format: Artikel
Sprache:Russian
Veröffentlicht: Інститут математики НАН України 1995
Schriftenreihe:Український математичний журнал
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Назва журналу:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Zitieren:Матричная выпуклость / В.В. Остапенко // Український математичний журнал. — 1995. — Т. 47, № 1. — С. 64–69. — Бібліогр.: 5 назв. — рос.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine
Beschreibung
Zusammenfassung:The notion of a convex set is generalized. In the definition of ordinary convexity, sums of products of vectors and numbers are used. In the generalization considered in this paper, the role of numbers is played by matrices; this is why we call it “matrix convexity.”