A Fresh Variational-Analysis Look at the Positive Semidefinite Matrices World |
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Authors: | Jean-Baptiste Hiriart-Urruty Jérôme Malick |
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Affiliation: | 1.Institut de Mathématiques,Université Paul Sabatier,Toulouse,France;2.Lab. J. Kuntzmann,CNRS,Grenoble,France |
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Abstract: | Engineering sciences and applications of mathematics show unambiguously that positive semidefiniteness of matrices is the most important generalization of non-negative real numbers. This notion of non-negativity for matrices has been well-studied in the literature; it has been the subject of review papers and entire chapters of books. |
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