Extensions of P-property, R0-property and semidefinite linear complementarity problems

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 rec...

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Bibliographic Details
Main Authors: Jeyaraman I., Bisht Kavita, Sivakumar K.C.
Format: Article
Language:English
Published: University of Belgrade 2017-01-01
Series:Yugoslav Journal of Operations Research
Subjects:
Online Access:http://www.doiserbia.nb.rs/img/doi/0354-0243/2017/0354-02431700015J.pdf
Description
Summary: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
ISSN:0354-0243
1820-743X