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Averaged iterative algorithms and linear dynamics
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DOI：10.1016/j.chaos.2026.118467.png)
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Abstract
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• Principal modes and properties of the Koopman operator of a discrete dynamical system. • Spectral matrix theory and stability of a dynamical system. • Averaged iterative algorithms to compute all the eigenvalues of a matrix. • New iterative methods based on averages for the solution of linear systems of equations, associated with classical methods like Jacobi or Richardson. • Conditions on the matrix for the convergence of these algorithms.
Keywords:
Koopman operator
spectral matrix theory
averaged iterative algorithms
linear systems of equations
convergence conditions
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