Geodesic
A new series of conjectures and open questions in optimization and matrix analysis
ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 2, pp. 454-470

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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.

DOI : 10.1051/cocv:2008040
Classification : 15A, 26B, 49K, 65C, 65K, 90C
Keywords: convex sets, positive (semi)definite matrices, variational problems, energy functions, global optimization, permanent function, bistochastic matrices, normal matrices 
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     title = {A new series of conjectures and open questions in optimization and matrix analysis},
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Hiriart-Urruty, Jean-Baptiste. A new series of conjectures and open questions in optimization and matrix analysis. ESAIM: Control, Optimisation and Calculus of Variations, Tome 15 (2009) no. 2, pp. 454-470. doi: 10.1051/cocv:2008040

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