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A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics

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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.

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Authors and Affiliations

  1. IREMIA, University of La Reunion, 97400, Saint-Denis, France

    Khalid Addi & D. Goeleven

  2. INRIA, Bipop Team-Project, 38334, Saint-Ismier, France

    B. Brogliato

Authors
  1. Khalid Addi
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  2. B. Brogliato
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  3. D. Goeleven
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Correspondence to Khalid Addi.

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Addi, K., Brogliato, B. & Goeleven, D. A qualitative mathematical analysis of a class of linear variational inequalities via semi-complementarity problems: applications in electronics. Math. Program. 126, 31–67 (2011). https://doi.org/10.1007/s10107-009-0268-7

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  • DOI: https://doi.org/10.1007/s10107-009-0268-7

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