The Handbook of Linear Algebra provides comprehensive coverage of linear algebra
concepts, applications, and computational software packages in an easy-to-use handbook …

Tensors are multidimensional analogs of matrices. In this paper, based on degree-theoretic
ideas, we study homogeneous nonlinear complementarity problems induced by tensors. By …

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

We consider a continuous-time linear time-invariant dynamical system that admits an
invariant cone. For the case of a self-dual and homogeneous cone we show that if the …

Roughly speaking, an infinite matrix is a twofold table A D. ai; j/, i; j 2 N, of real or complex
numbers. A general theory for infinite matrices commenced with Henri Poincaré in 1844 …

Recent advances have shown that the L 2-gain of positive systems is fully determined by the
static gain matrix, and hence the linear matrix inequality (LMI) characterizing their H∞ …

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 …

A positive map between Euclidean Jordan algebras is a (symmetric cone) order preserving
linear map. We show that the norm of such a map is attained at the unit element, thus …

This paper deals with some inertia theorems in Euclidean Jordan algebras. First, based on
the continuity of eigenvalues, we give an alternate proof of Kaneyuki's generalization of …

Using duality, complementarity ideas, and Z-transformations, in this chapter we discuss
equivalent ways of describing the existence of common linear/quadratic Lyapunov functions …