Abstract
We investigate a number of methods of measuring convergence rates of sequences. We clarify the relationships between these different measures of convergence rates. We present eight such measurement methods and demonstrate almost all relations among them (with two open problems remaining). We also present the notion of convergence-order profiles for sequences.
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The work upon which this report is based was done at the Los Alamos National Laboratory, Theoretical Division. It was supported by the U.S. Department of Energy and by grants to the second author from Associated Western Universities, Inc. and from the University of Louisville.
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Beyer, W.A., Ebanks, B.R. & Qualls, C.R. Convergence rates and convergence-order profiles for sequences. Acta Appl Math 20, 267–284 (1990). https://doi.org/10.1007/BF00049571
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DOI: https://doi.org/10.1007/BF00049571