Characterizing Q-linear transformations for semidefinite linear complementarity problems

Artículo de publicación ISIIn this paper we introduce a new class, called F, of linear transformations defined from the space of real n x n symmetric matrices into itself. Within this new class, we show the equivalence between Q- and Q(b)-transformations. We also provide conditions under which a linear transformation belongs to F. Moreover, this class, when specialized to square matrices of size n, turns out to be the largest class of matrices for which such equivalence holds true in the context of standard linear complementary problems.CONICYT-Chile, via FONDECYT 3100131 1100919 1070297 1110888 FONDAP in Applied Mathematics BASAL Project (Centro de Modelamiento Matematico, Universidad de Chile