On a generalization of the ϵ-algorithm

AbstractSalam, A., On a generalization of the ϵ-algorithm, Journal of Computational and Applied Mathematics 46 (1993) 455–464.The ϵ-algorithm is a quite powerful algorithm for accelerating the convergence of some classes of sequences. It was generalized in two different ways some years ago. In this paper, a determinantal formula for its second generalization is obtained. Then its kernel (the set of sequences which are transformed into a constant sequence) is given as the solution of a difference equation