Applied Mathematics and Optimization, Vol.45, No.2, 169-184, 2002
Permanently going back and forth between the "quadratic world" and the "convexity world" in optimization
The objective of this work is twofold. Firstly, we propose a review of different results concerning convexity of images by quadratic mappings, putting them in a chronological perspective. Next, we enlighten these results from a geometrical point of view in order to provide new and comprehensive proofs and to immerse them in a more general and abstract context.