Geodesic
Improving the convergence of iterative methods
Applications of Mathematics, Tome 28 (1983) no. 3, pp. 215-229
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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.
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.
DOI : 10.21136/AM.1983.104028
Classification : 47A50, 65B99, 65J10
Keywords: method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure 
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Zítko, Jan. Improving the convergence of iterative methods. Applications of Mathematics, Tome 28 (1983) no. 3, pp. 215-229. doi: 10.21136/AM.1983.104028

[1] G. Maess: Extrapolation bei Iterationsverfahren. ZAMM 56 (1976), 121 - 122. | DOI | MR

[2] G. Maess: Iterative Lösung linearer Gleichungssysteme. Deutsche Akademie der Naturforscher Leopoldina Halle (Saale), 1979. | MR | Zbl

[3] I. Marek J. Zítko: Ljusternik Acceleration and the Extrapolated S.O.R. Method. Apl. mat. 22 (1977), 116-133. | MR

[4] A. E. Taylor: Introduction to Functional Analysis. J. Wiley Publ. New York 1958. | MR | Zbl

[5] D. M. Young: Iterative Solution of Large Linear Systems. Academic Press, New York-London 1971. | MR | Zbl

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