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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