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
Review49 (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.