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Index-doubling in sequences by Aitken extrapolation |
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| Authors: | Roger Alexander |
| Institution: | Department of Mathematics, 400 Carver Hall, Iowa State University, Ames, Iowa 50011 |
| Abstract: | Aitken extrapolation, applied to certain sequences, yields the even-numbered subsequence of the original. We prove that this is true for sequences generated by iterating a linear fractional transformation, and for some sequences of convergents of the regular continued fractions of certain quadratic irrational numbers. |
| Keywords: | Aitken extrapolation linear fractional transformation periodic continued fraction |
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