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 |
. |
Category:
|
math |
. |
MSC:
|
11B37 |
MSC:
|
11B39 |
MSC:
|
65B05 |
MSC:
|
65B99 |
idZBL:
|
Zbl 1026.11023 |
idMR:
|
MR1879640 |
. |
Date available:
|
2009-01-30T09:08:48Z |
Last updated:
|
2013-10-22 |
Stable URL:
|
http://hdl.handle.net/10338.dmlcz/120569 |
. |
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 |
. |