Projection methods in conic optimization
  There exist efficient algorithms to project a point onto the intersection of a convex cone and an affine subspace. Those conic projections are in turn the work-horse of a range of algorithms in conic optimization, having a variety of applications in science, finance and engineering. This chapter reviews some of these algorithms, emphasizing the so-called regularization algorithms for linear conic optimization, and applications in polynomial optimization. This is a presentation of the material of several recent research articles; we aim here at clarifying the ideas, presenting them in a general framework, and pointing out important techniques. 
Didier Henrion (LAAS, CTU/FEE), J\'er\^ome Malick (INRIA Rh\^one-Alpes   / LJK Laboratoire Jean Kuntzmann)
math.OC