Matrix convexity

• Date: 1995
• Main Authors: Ostapenko, V. V., Остапенко, В. В.
• Format: Article
• Language: Russian; English
• Published: Institute of Mathematics, NAS of Ukraine 1995
• Online Access: https://umj.imath.kiev.ua/index.php/umj/article/view/5383
• Journal Title: Ukrains’kyi Matematychnyi Zhurnal

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.”