Confluent Form of the Multistep ɛ‐Algorithm, and the Relevant Integrable System

In this paper, the confluent form of the multistep ɛ‐algorithm is proposed. The molecule solution of this system is derived by using determinantal identities. A new continuous prediction algorithm based on this confluent form is constructed. It also shows that this algorithm is a special case of the extended Lotka–Volterra system.