On the \(P_2'\) and \(P_2\)-properties in the semidefinite linear complementarity problem
The authors consider several classes of linear transformations for semidefinite linear complementarity problems (SDLCPs) and investigate the equivalence of some matrix properties within the SDLCP setting. Namely, they introduce a new \(P'_2\)-property and show its equivalence to \(P_2\) for Lyapunov, multiplicative, and some classes of Stein transformations. Some relationships for \(P'_2\)-, \(Q\)-, and \(P\)-properties and examples which confirm the sharpness of the results are also given.
scientific article; zbMATH DE number 5650025
scientific article