Dual Methods in Entropy Maximization. Application to Some Problems in Crystallography

• DOI: 10.1137/0802010
• Publication Date: 2005-02-23T05:50:01Z
• Authors: Andrée Decarreau; Danielle Hilhorst; Claude Lemaréchal; Jorge Navaza
• Keywords: Entropy maximization; Duality (order theory); Maximization

This paper is devoted to some infinite-dimensional optimization problems with finitely many constraints. These deal entropy maximization, and this particularly concerned those originating from Fourier analysis. have a structure that makes them amenable dual methods, for theoretical as well numerical solutions. Existence results are recalled, the use of duality construct suitable efficient algorithms demonstrated. Finally, so-called phase-problem crystallographers, which crucial importance in biology pharmacology, studied. Although it nonconvex problem, solution algorithm also based on proposed illustrations given.