Averaged iterative algorithms and linear dynamics

M.A. Navascués

Chaos, Solitons & Fractals, 2026, vol. 209, issue P1

Abstract: The article considers some relations between spectral matrix theory and discrete dynamical systems. The stability of a hyperbolic equilibrium of a dynamical system depends crucially of the eigenvalues of a matrix. The paper proposes averaged algorithms to find eigenvalues and eigenvectors of linear transformations. Some spectral properties of the Koopman operator of a dynamical system are explored as well, computing explicitly its principal modes in the linear case.

Keywords: Linear systems; Discrete dynamical systems; Iterative methods; Power method; Eigenvalues; Koopman operator (search for similar items in EconPapers)
Date: 2026
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:209:y:2026:i:p1:s0960077926006089

DOI: 10.1016/j.chaos.2026.118467

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