| Abstract: | Recently [1, 2] the new convexity principle has beenvalidated. It states that a nonlinear image of a small ball in aHilbert space is convex, provided that the map isC1,1 and the center of the ball is aregular point of the map. This result has numerous applicationsin linear algebra, optimization and control.Dedicated to IMPA on the occasion of its 50th anniversary |
