Consider a finite set of identical computational entities that can move freely in the Euclidean plane operating in Look-Compute-Move cycles. Let p(t) denote the location of entity p at time t; entityâ€¦ (More)

A special instance of the algebraic Riccati equation XCXâˆ’XEâˆ’AX+B = 0 where the n Ã— n matrix coefficients A,B,C,E are rank structured matrices is considered. Relying on the structural properties ofâ€¦ (More)

In this paper, we aim to study in an unified fashion several quadratic vector and matrix equations with nonnegativity hypotheses. Specific cases of such problems have been studied extensively in theâ€¦ (More)

We propose a new matrix geometric mean satisfying the ten properties given by Ando, Li and Mathias [Linear Alg. Appl. 2004]. This mean is the limit of a sequence which converges superlinearly withâ€¦ (More)

Consider a finite set of identical entities, called robots, which can move freely in the Euclidean plane. Let p(t) denote the location of robot p at time t; a robot p can see robot q at time t if atâ€¦ (More)

We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems where the coefficient matrix is Cauchy-like. Moreover, this new algorithm makes a moreâ€¦ (More)

Markov-modulated fluid queues are popular stochastic processes frequently used for modelling real-life applications. An important performance measure to evaluate in these applications is theirâ€¦ (More)

We propose a new O(n)-space implementation of the GKO-Cauchy algorithm for the solution of linear systems with Cauchy-like matrix. Despite its slightly higher computational cost, this new algorithmâ€¦ (More)

We derive a new representation of Lagrangian subspaces in the form ImÎ T [ I X ] , where Î is a symplectic matrix which is the product of a permutation matrix and a real orthogonal diagonal matrix,â€¦ (More)