Jeyaraman, I.Bisht, K.Sivakumar, K.C.2020-03-312020-03-312017Yugoslav Journal of Operations Research, 2017, Vol.27, 2, pp.135-152https://idr.nitk.ac.in/handle/123456789/11238In 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) are 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.Article