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ADCM
2007
93views more  ADCM 2007»
13 years 5 months ago
Spectral behaviour of GMRES applied to singular systems
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...
Laurent Smoch
CAINE
2001
13 years 6 months ago
Model Reduction Scheme of State-Affine Systems
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...
Samir A. Al-Baiyat
CORR
2010
Springer
102views Education» more  CORR 2010»
13 years 2 months ago
A contribution to the conditioning of the total least squares problem
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...
Marc Baboulin, Serge Gratton
ICCS
2005
Springer
13 years 10 months ago
Total Energy Singular Vectors for Atmospheric Chemical Transport Models
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...
Wenyuan Liao, Adrian Sandu
SIAMCO
2008
56views more  SIAMCO 2008»
13 years 4 months ago
Singular Trajectories of Control-Affine Systems
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...
Yacine Chitour, Frédéric Jean, Emman...