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 …

Based on an inverse function theorem for a system of semismooth equations, this paper
establishes several necessary and sufficient conditions for an isolated solution of a …

This article deals with linear complementarity problems over symmetric cones. Our objective
here is to characterize global uniqueness and solvability properties for linear …

Motivated by the similarities between the properties of Z-matrices on R^ n _+ and Lyapunov
and Stein transformations on the semidefinite cone S^ n_+, we introduce and study Z …

Generalizing the P-property of a matrix, Gowda et al.[Gowda, MS, R. Sznajder, J. Tao. 2004.
Some P-properties for linear transformations on Euclidean Jordan algebras. Linear Algebra …

In this article, we introduce the concepts of P and P 0 properties for a nonlinear
transformation defined on a Euclidean Jordan algebra and study existence of solution in the …

The complementarity problem over a symmetric conic (that we call the Symmetric Conic
Complementarity Problem, or the SCCP) has received much attention of researchers in the …

Given a closed convex cone C in a finite dimensional real Hilbert space H, a weakly
homogeneous map f:\, C → H f: C→ H is a sum of two continuous maps h and g, where h is …

We study a smoothing Newton method for solving a nonsmooth matrix equation that
includes semidefinite programming and the semidefinite complementarity problem as …

We introduce a Cartesian P-property for linear transformations between the space of
symmetric matrices and present its applications to the semidefinite linear complementarity …