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Zítko, Jan
Improving the convergence of iterative methods. (English). Aplikace matematiky, vol. 28 (1983), issue 3, pp. 215-229
MSC: 47A50, 65B99, 65J10 | MR 0701740 | Zbl 0528.65029 | DOI: 10.21136/AM.1983.104028
Keywords:
method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure
Summary:
The author considers the operator equation $x=Tx+b$. Methods for acceleration of convergence of the iterative process $x_{n+1)}=Tx_n+b$ are investigated.
References:
[1] G. Maess: Extrapolation bei Iterationsverfahren. ZAMM 56 (1976), 121 - 122. DOI 10.1002/zamm.19760560210 | MR 0426417
[2] G. Maess: Iterative Lösung linearer Gleichungssysteme. Deutsche Akademie der Naturforscher Leopoldina Halle (Saale), 1979. MR 0558164 | Zbl 0416.65029
[3] I. Marek J. Zítko: Ljusternik Acceleration and the Extrapolated S.O.R. Method. Apl. mat. 22 (1977), 116-133. MR 0431667
[4] A. E. Taylor: Introduction to Functional Analysis. J. Wiley Publ. New York 1958. MR 0098966 | Zbl 0081.10202
[5] D. M. Young: Iterative Solution of Large Linear Systems. Academic Press, New York-London 1971. MR 0305568 | Zbl 0231.65034
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