Minimum norm solution to the positive semidefinite linear complementarity problem

Optimization ◽  
2012 ◽  
Vol 63 (3) ◽  
pp. 359-369 ◽  
Author(s):  
Panos M. Pardalos ◽  
Saeed Ketabchi ◽  
Hossein Moosaei
Keyword(s):  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Positive Semidefinite ◽  
Linear Complementarity ◽  
Minimum Norm ◽  
Minimum Norm Solution ◽  
Semidefinite Linear Complementarity Problem

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

2017 ◽  
Vol 27 (2) ◽  
pp. 135-151
Author(s):  
I. Jeyaraman ◽  
Kavita Bisht ◽  
K.C. Sivakumar
Keyword(s):  
Linear Transformation ◽  
Linear Complementarity Problem ◽  
Complementarity Problem ◽  
Complementarity Problems ◽  
Linear Complementarity Problems ◽  
Linear Complementarity ◽  
Linear Transformations ◽  
Semidefinite Linear Complementarity Problems ◽  
Semidefinite Linear Complementarity Problem

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

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