We give an upper bound in O(d(n+1)/2 ) for the number of critical points of a normal random polynomial. The number of minima (resp. maxima) is in O(d(n+1)/2 )Pn, where Pn is the (...
A class of trust-region algorithms is developed and analyzed for the solution of minimization problems with nonlinear inequality constraints. Based on composite-step trust region ...
In this paper we study the human eye movement and the head movement system as a simple mechanical control system. Most of the time, eye movements obey Listing's constraint, wh...
We consider a class of continuous-time cooperative systems evolving on the positive orthant Rn +. We show that if the origin is globally attractive, then it is also globally stabl...
In this paper, we study the problem of non-orthogonal joint diagonalisation of a set of real symmetric matrices. A family of block Jacobitype methods are proposed to optimise two ...