Convergence of discrete asynchronous iterations

Abstract

A convergence theorem of asynchronous iterations of discrete systems partitioned into blocks is given. The mathematical model developed generalizes several classical block discrete models: parallel (Jacobi), series (Gauss-Seidel) and chaotic. Numerical applications with boolean networks show convergences predicted by this theorem.

Keywords:

• Discrete asynchronous iterations
• discrete dynamic systems
• contraction function
• numerical simulations

C.R. Categories:

• G.1.3

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Notes

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