On the P'2 and P2-properties in the semidefinite linear complementarity problem

Chandrashekaran, A. ; Parthasarathy, T. ; Vetrivel, V. (2010) On the P'2 and P2-properties in the semidefinite linear complementarity problem Linear Algebra and its Applications, 432 (1). 134-143 . ISSN 0024-3795

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Official URL: http://linkinghub.elsevier.com/retrieve/pii/S00243...

Related URL: http://dx.doi.org/10.1016/j.laa.2009.07.031

Abstract

Motivated by the so-called P2-property in the semidefinite linear complementarity problems, in this article, we introduce the concept of P'2-property for a linear transformation on the space of real n×n symmetric matrices. While these two properties turn out to be different, we show that they are equivalent for the Lyapunov transformation LA, double-sided multiplicative transformation MA and a particular class of Stein transformations. We also show that P'2 implies the SSM and Q-properties.

Item Type:Article
Source:Copyright of this article belongs to Elsevier Science.
Keywords:Semidefinite Linear Complementarity Problem (SDLCP); P2-property; Motivatedbytheso-called{P}_{2}-property
ID Code:36518
Deposited On:11 Apr 2011 13:15
Last Modified:11 Apr 2011 13:15

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