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Controllability of a nonlinear hybrid system
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High-performance floating-point computing on reconfigurable circuits
Due to their potential performance and unmatched flexibility, FPGA-based accelerators are part of more and more high-performance computing systems. However, exploiting... -
A scenario for symmetry breaking in Caffarelli-Kohn-Nirenberg inequalities
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Convergence of the D-iteration algorithm: convergence rate and asynchronous d...
In this paper, we define the general framework to describe the diffusion operators associated to a positive matrix. We define the equations associated to diffusion... -
Viscosity Approximation Methods for Fixed-Points Problems
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A partial complement method for approximating solutions of a primal dual fixe...
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A proximal iterative approach to a non-convex optimization problem
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On the convergence of splitting proximal methods for equilibrium problems in ...
International audience -
A Variable Krasnoselski-Mann Algorithm for a New Class of Fixed Point Problems
International audience -
Strong convergence of an iterative method for hierarchical fixed point problems
International audience -
Well-posedness for a one-dimensional fluid-particle interaction model
The fluid-particle interaction model introduced by the three last authors in [J. Differential Equations, 245 (2008), pp. 3503-3544] is the object of our study. This... -
Asymptotic behavior of compositions of under-relaxed nonexpansive operators
In general there exists no relationship between the fixed point sets of the composition and of the average of a family of nonexpansive operators in Hilbert spaces. In... -
Three Brouwer fixed point theorems for homeomorphisms of the plane
We prove three theorems giving fixed points for orientation preserving homeomorphisms of the plane following forgotten results of Brouwer. -
Kadanoff sandpiles
Sandpile models are a subclass of Cellular Automata. Bak et al. introduced them in 1987 for they exemplify the intuitive notion of Self-Organized Criticality.The... -
Analysis and Synthesis of the Finite Word Length Implementation of linear con...
These thesis, done in industrial context with PSA Peugeot-Citroën and IRCCyN, deals with the numerical aspect of the implementation of filters or controllers in...
