# Improving the convergence of iterative methods

Aplikace matematiky (1983)

- Volume: 28, Issue: 3, page 215-229
- ISSN: 0862-7940

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topZítko, Jan. "Improving the convergence of iterative methods." Aplikace matematiky 28.3 (1983): 215-229. <http://eudml.org/doc/15298>.

@article{Zítko1983,

abstract = {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.},

author = {Zítko, Jan},

journal = {Aplikace matematiky},

keywords = {method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure; method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure},

language = {eng},

number = {3},

pages = {215-229},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Improving the convergence of iterative methods},

url = {http://eudml.org/doc/15298},

volume = {28},

year = {1983},

}

TY - JOUR

AU - Zítko, Jan

TI - Improving the convergence of iterative methods

JO - Aplikace matematiky

PY - 1983

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 28

IS - 3

SP - 215

EP - 229

AB - 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.

LA - eng

KW - method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure; method of successive approximations; acceleration of convergence; Hilbert space; iterative process; extrapolation procedure

UR - http://eudml.org/doc/15298

ER -

## References

top- G. Maess, 10.1002/zamm.19760560210, ZAMM 56 (1976), 121 - 122. (1976) MR0426417DOI10.1002/zamm.19760560210
- G. Maess, Iterative Lösung linearer Gleichungssysteme, Deutsche Akademie der Naturforscher Leopoldina Halle (Saale), 1979. (1979) Zbl0416.65029MR0558164
- I. Marek J. Zítko, Ljusternik Acceleration and the Extrapolated S.O.R. Method, Apl. mat. 22 (1977), 116-133. (1977) Zbl0367.65016MR0431667
- A. E. Taylor, Introduction to Functional Analysis, J. Wiley Publ. New York 1958. (1958) Zbl0081.10202MR0098966
- D. M. Young, Iterative Solution of Large Linear Systems, Academic Press, New York-London 1971. (1971) Zbl0231.65034MR0305568

## Citations in EuDML Documents

top- Jan Zítko, Combining the preconditioned conjugate gradient method and a matrix iterative method
- Jan Zítko, Two step extrapolation and optimum choice of relaxation factor of the extrapolated S.O.R. method
- Jan Zítko, Convergence of extrapolation coefficients
- Jan Zítko, Using successive approximations for improving the convergence of GMRES method

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