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A new series of conjectures and open questionsin optimization and matrix analysis

Published online by Cambridge University Press:  24 June 2008

Jean-Baptiste Hiriart-Urruty
Jean-Baptiste Hiriart-Urruty*
Affiliation:
Institut de Mathématiques de Toulouse, Université Paul Sabatier, 118 route de Narbonne, 31062 Toulouse Cedex 9, France. jbhu@cict.fr
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Abstract

We present below a new series of conjectures and openproblems in the fields of (global) Optimization and Matrix analysis, in thesame spirit as our recently published paper [J.-B. Hiriart-Urruty, Potpourri of conjectures and open questions in Nonlinear analysis and Optimization. SIAMReview49 (2007) 255–273]. With each problem come a succinct presentation, a list of specificreferences, and a view on the state of the art of the subject.

Keywords

Convex setspositive (semi)definite matricesvariational problemsenergy functionsglobal optimizationpermanentfunctionbistochastic matricesnormal matrices
Type
Research Article
Information
ESAIM: Control, Optimisation and Calculus of Variations , Volume 15 , Issue 2 , April 2009 , pp. 454 - 470
Copyright
© EDP Sciences, SMAI, 2008

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