Konveksnost in realna algebraična geometrija

author: Janez Povh, Fakulteta za matematiko in fiziko, Univerza v Ljubljani
published: Dec. 8, 2017,   recorded: October 2017,   views: 817
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V članku Matrix Convex Hulls of Free Semialgebraic Sets in knjigi Optimization of polynomials in non-commuting variables je prof. dr. Igor Klep formuliral in dokazal več fundamentalnih izrekov nekomutativne realne algebraične geometrije. Le-ta se ukvarja s polinomskimi neenačbami v matričnih prostorih. Članek se ukvarja s teoretičnimi osnovami, npr. konveksnostjo. Predstavi, kako lahko z dimenzijskimi razširitvami učinkovito iščemo konveksne lupine. Knjiga je namenjena širšemu spektru bralcev, saj se ukvarja predvsem z algoritmičnimi vidiki in uporabo, npr. v kvantni fiziki in matematični optimizaciji.

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