Abstract
In this short note, the existence of a super-quadratic convergence sequence in the Aitken Δ2 process is shown, when the original sequence is generated by the fixed-point iteration with the iteration function of the formT(x) = (r x + s)/(px +q), wherep, q, r ands are constants satisfying ps — q r ≠ 0 andp ≠ 0.
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Ozawa, K. Super-quadratic convergence in Aitken Δ2 process. Japan J. Indust. Appl. Math. 21, 289–298 (2004). https://doi.org/10.1007/BF03167584
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DOI: https://doi.org/10.1007/BF03167584