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Title: Sequence transformations and linear recurrences of higher order (English)
Author: Mátyás, Ferenc
Language: English
Journal: Acta Mathematica et Informatica Universitatis Ostraviensis
ISSN: 1211-4774
Volume: 9
Issue: 1
Year: 2001
Pages: 45-51
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Category: math
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MSC: 11B37
MSC: 11B39
MSC: 65B05
MSC: 65B99
idZBL: Zbl 1026.11023
idMR: MR1879640
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Date available: 2009-01-30T09:08:48Z
Last updated: 2013-10-22
Stable URL: http://hdl.handle.net/10338.dmlcz/120569
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Reference: [1] Brezinski C.: Accélération de convergence en Analyse Numérique.Publication du Laboratoire de Calcul, Universitédes Sciences et Techniques de Lille, (1973).
Reference: [2] Jamieson M. J.: Fibonacci numbers and Aitken sequences revisited.Amer. Math. Monthly, 97 (1990), 829-831. Zbl 0735.11007, MR 1080391, 10.2307/2324750
Reference: [3] Mátyás F.: Linear recurrences and rootfindig methods.Acta Acad. Paed. Agriensis Sect. Mat, 28 (2001). MR 1875557
Reference: [4] McCabe J. H., Phillips G. M.: Aitken sequences and generalized Fibonacci numbers.Math, Comp., 45 (1985), 553-558. Zbl 0581.10005, MR 0804944, 10.1090/S0025-5718-1985-0804944-8
Reference: [5] Muskat J. B.: Generalized Fibonacci and Lucas sequences and rootfinding methods.Math. Comp., 61 (1993), 365-372. Zbl 0781.11006, MR 1192974, 10.1090/S0025-5718-1993-1192974-3
Reference: [6] Phillips G. M.: Aitken sequences and Fibonacci numbers.Amer. Math. Monthly, 91 (1984), 354-357. Zbl 0545.65004, MR 0750521, 10.2307/2322139
Reference: [7] Taher R. B., Rachidi M.: Application of the e-algirithm to the ratio of r-generalized Fibonacci sequences.The Fibonacci Quarterly, 39 (2001), 22-26. MR 1812616
Reference: [8] Zhang Z.: A class of sequences and the Aitken transformation.The Fibonacci Quarterly, 36 (1998), 68-71. Zbl 0910.11003, MR 1605357
Reference: [9] Zhang Z.: Generalized Fibonacci sequences and a Generalization of the Q- Matrix.The Fibonacci Quarterly, 37 (1999), 203-207. Zbl 1007.11007, MR 1709577
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