Coope, Ian D.Graves-Morris, P.R.2015-10-162015-10-161992http://hdl.handle.net/10092/11191The performance of the vector epsilon is governed by two important mathematical theorems which are briefly reviewed in context. We note that the performance of the vector epsilon algorithm is inevitably qualitatively incorrect for sequences whose generating functions have poles near unity. This difficulty is avoided by the use of hybrid vector Pade approximants.enCopyright Ian D. CoopeDiscussion / Working PapersField of Research::01 - Mathematical Sciences