We study analyticity, differentiability, and semismoothness of Löwner's operator and spectral
functions under the framework of Euclidean Jordan algebras. In particular, we show that …

We study the continuous trajectories for solving monotone nonlinear mixed complementarity
problems over symmetric cones. While the analysis in [L. Faybusovich, Positivity, 1 (1997) …

This paper extends the regularized smoothing Newton method in vector complementarity
problems to symmetric cone complementarity problems (SCCP), which includes the …

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 …

This paper makes a survey on SOC complementarity functions and related solution methods
for the second-order cone programming (SOCP) and second-order cone complementarity …

Abstract Recently Tseng (Math Program 83: 159–185, 1998) extended a class of merit
functions, proposed by Luo and Tseng (A new class of merit functions for the nonlinear …

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 …

Spectral sets (functions) in Euclidean Jordan algebras are generalizations of permutation
invariant sets (respectively, functions) in R n. In this article, we study properties of such sets …

In this paper, we extend the one-parametric class of merit functions proposed by Kanzow
and Kleinmichel [C. Kanzow, H. Kleinmichel, A new class of semismooth Newton-type …