# A fast iteration for uniform approximation

Aplikace matematiky (1988)

- Volume: 33, Issue: 4, page 269-276
- ISSN: 0862-7940

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topKálovics, Ferenc. "A fast iteration for uniform approximation." Aplikace matematiky 33.4 (1988): 269-276. <http://eudml.org/doc/15542>.

@article{Kálovics1988,

abstract = {The paper gives such an iterative method for special Chebyshev approxiamtions that its order of convergence is $\ge 2$. Somewhat comparable results are found in [1] and [2], based on another idea.},

author = {Kálovics, Ferenc},

journal = {Aplikace matematiky},

keywords = {Chebyshev system; extremal points; iterative algorithm; Chebyshev approximations; numerical examples; $Q$-order of a convergent iterative method; Chebyshev system; extremal points; iterative algorithm; Chebyshev approximations; numerical examples},

language = {eng},

number = {4},

pages = {269-276},

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

title = {A fast iteration for uniform approximation},

url = {http://eudml.org/doc/15542},

volume = {33},

year = {1988},

}

TY - JOUR

AU - Kálovics, Ferenc

TI - A fast iteration for uniform approximation

JO - Aplikace matematiky

PY - 1988

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

VL - 33

IS - 4

SP - 269

EP - 276

AB - The paper gives such an iterative method for special Chebyshev approxiamtions that its order of convergence is $\ge 2$. Somewhat comparable results are found in [1] and [2], based on another idea.

LA - eng

KW - Chebyshev system; extremal points; iterative algorithm; Chebyshev approximations; numerical examples; $Q$-order of a convergent iterative method; Chebyshev system; extremal points; iterative algorithm; Chebyshev approximations; numerical examples

UR - http://eudml.org/doc/15542

ER -

## References

top- K. Glasshoff S. A. Gustafson, Linear Optimization and Approximation, Springer-Verlag, New York, 1983. (1983) MR0697234
- F. Kálovics, An agorithm for best Chebyshev approxmations, Annales. Univ. Sci. Budapestinensis, Sectio Computatorica, 6(1985), 19-25. (1985) MR0915220
- J. M. Ortega W. C. Rheinboldt, Iterative Solutions of Nonlinear Equations in Several Variables, Academic Press, New York, 1970. (1970) MR0273810

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