Document ESAIM: COCV
DOI: 10.1051/cocv:2008040
A new series of conjectures and open questions in optimization and matrix analysis
Jean-Baptiste Hiriart-UrrutyInstitut de Mathématiques de Toulouse, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 9, France. jbhu@cict.fr
Received July 23, 2007. Revised February 4, 2008. Published online June 24, 2008.
Abstract
We present below a new series of conjectures and open
problems in the fields of (global) Optimization and Matrix analysis, in the
same spirit as our recently published paper [J.-B. Hiriart-Urruty, Potpourri of conjectures and open questions in Nonlinear analysis and Optimization. SIAM
Review 49 (2007) 255-273]. With each problem come a succinct presentation, a list of specific
references, and a view on the state of the art of the subject.
Mathematics Subject Classification. 15A, 26B, 49K, 65C, 65K, 90C
Key words: Convex sets, positive (semi)definite matrices, variational problems, energy functions, global optimization, permanent function, bistochastic matrices, normal matrices
© EDP Sciences, SMAI 2008