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Convergence and combinatorics of the Reverse algorithm

open access: yesBulletin of the London Mathematical Society, Volume 58, Issue 9, September 2026.
Abstract We study the Reverse algorithm, a multidimensional continued fraction algorithm, which is not unimodular. We show that the Reverse algorithm is ergodic and, by proving that its second Lyapunov exponent is negative, that it is a.e. exponentially convergent.
Hiroaki Ito   +2 more
wiley   +1 more source

On characterizing optimality and existence of optimal solutions for Lyapunov type optimization problems

open access: yes, 1996
Necessary and sucient conditions for optimality, in the form of a duality result of Fritz-John type, are given for an abstract optimization problem of Lyapunov type. The introduction of a so-called integrand constraint qualication allows the duality result to take the form of a Kuhn-Tucker type result. Special applications include necessary and sucient
openaire   +1 more source

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