P. R. Graves-Morris

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The performance of the vector epsilon algorithm 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(More)
We consider the use of functional (i.e. function-valued) Padé approximants to accelerate the convergence of Neumann series of linear integral equations and to estimate their characteristic values and eigenfunctions. We apply our methods to the Neumann series solution for the linear integral equation $$\phi (x) = 1 + \lambda \int_{ - 1}^1 {K(x,y)\phi (y)(More)
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