The Q-property of a multiplicative transformation in semidefinite linear complementarity problems
نویسندگان
چکیده
The Q-property of a multiplicative transformation AXAT in semidefinite linear complementarity problems is characterized when A is normal.
منابع مشابه
Ela the Q-property of a Multiplicative Transformation in Semidefinite Linear Complementarity Problems∗
The Q-property of a multiplicative transformation AXAT in semidefinite linear complementarity problems is characterized when A is normal.
متن کاملSome Global Uniqueness and Solvability Results for Linear Complementarity Problems Over Symmetric Cones
This article deals with linear complementarity problems over symmetric cones. Our objective here is to characterize global uniqueness and solvability properties for linear transformations that leave the symmetric cone invariant. Specifically, we show that, for algebra automorphisms on the Lorentz space Ln and for quadratic representations on any Euclidean Jordan algebra, global uniqueness, glob...
متن کاملOn multiplicative (strong) linear preservers of majorizations
In this paper, we study some kinds of majorizations on $textbf{M}_{n}$ and their linear or strong linear preservers. Also, we find the structure of linear or strong linear preservers which are multiplicative, i.e. linear or strong linear preservers like $Phi $ with the property $Phi (AB)=Phi (A)Phi (B)$ for every $A,Bin textbf{M}_{n}$.
متن کاملThe Globally Uniquely Solvable Property of Second-Order Cone Linear Complementarity Problems
The globally uniquely solvable (GUS) property of the linear transformation of the linear complementarity problems over symmetric cones has been studied recently by Gowda et al. via the approach of Euclidean Jordan algebra. In this paper, we contribute a new approach to characterizing the GUS property of the linear transformation of the second-order cone linear complementarity problems (SOCLCP) ...
متن کاملSome P-Properties for Nonlinear Transformations on Euclidean Jordan Algebras
A real square matrix is said to be a P-matrix if all its principal minors are positive. It is well known that this property is equivalent to: the nonsign-reversal property based on the componentwise product of vectors, the order P-property based on the minimum and maximum of vectors, uniqueness property in the standard linear complementarity problem, (Lipschitzian) homeomorphism property of the...
متن کامل