Abstract : The main object of this paper is to present a general mathematical theory applicable to the study of a large class of linear variational inequalities arising in electronics. Our approach uses recession tools so as to define a new class of problems that we call "semi-complementarity problems". Then we show that the study of semi-complementarity problems can be used to prove new qualitative results applicable to the study of linear variational inequalities of the second kind
https://hal.inria.fr/hal-00756295
Contributeur : Bernard Brogliato
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Soumis le : vendredi 20 mai 2016 - 14:07:21
Dernière modification le : mardi 23 octobre 2018 - 09:34:01
Document(s) archivé(s) le : dimanche 21 août 2016 - 10:13:48
Khalid Addi, Bernard Brogliato, Daniel Goeleven. A qualitative mathematical analysis of a class of variational inequalities via semi-complementarity problems: applications in electronics. Mathematical Programming, Springer Verlag, 2011, 126 (1), pp.31-67. 〈10.1007/s10107-009-0268-7〉. 〈hal-00756295〉
