The purpose of this paper is to develop a spectral analysis of the Hessenberg matrix obtained by the GMRES algorithm used for solving a linear system with a singular matrix. We pr...
In this paper, a new method for the approximation of discrete time state-affine systems is proposed. The method is based on the diagonalization of proposed generalized controllabi...
We derive closed formulas for the condition number of a linear function of the total least squares solution. Given an over determined linear systems Ax = b, we show that this condi...
The aim of this paper is to address computational aspects of the total energy singular vector analysis of atmospheric chemical transport models. We discuss the symmetry of the tang...
Abstract. When applying methods of optimal control to motion planning or stabilization problems, some theoretical or numerical difficulties may arise, due to the presence of specif...