Extensions of P-property, R0-property and semidefinite linear complementarity problems
I. Jeyaraman, Kavita Bisht, K. C. Sivakumar · Yugoslav journal of operations research · 2017
In this manuscript, we present some new results for the semidefinite linear complementarity problem, in the context of three notions for linear transformations, viz., pseudo w-P property, pseudo Jordan w-P property and pseudo SSM property. Interconnections with the P#-property (proposed recently in the literature) is presented. We also study the R#-property of a linear transformation, extending the rather well known notion of an R0-matrix. In particular, results are presented for the Lyapunov, Stein, and the multiplicative transformations