Cross rules and non-Abelian lattice equations for the discrete and confluent non-scalar ε-algorithms

In this paper, we give the cross rules of the discrete and confluent vector, topological and matrix e-algorithms. Then, from the rules of these confluent algorithms, we derive non-Abelian lattice equations, in particular some extensions of the Lotka–Volterra system, in the style of the equation related to the confluent form of the scalar e-algorithm.

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