| Title:
|
A fast iteration for uniform approximation (English) |
| Author:
|
Kálovics, Ferenc |
| Language:
|
English |
| Journal:
|
Aplikace matematiky |
| ISSN:
|
0373-6725 |
| Volume:
|
33 |
| Issue:
|
4 |
| Year:
|
1988 |
| Pages:
|
269-276 |
| Summary lang:
|
English |
| Summary lang:
|
Russian |
| Summary lang:
|
Czech |
| . |
| Category:
|
math |
| . |
| Summary:
|
The paper gives such an iterative method for special Chebyshev approxiamtions that its order of convergence is $\geq 2$. Somewhat comparable results are found in [1] and [2], based on another idea. (English) |
| Keyword:
|
Chebyshev system |
| Keyword:
|
extremal points |
| Keyword:
|
iterative algorithm |
| Keyword:
|
Chebyshev approximations |
| Keyword:
|
numerical examples |
| Keyword:
|
$Q$-order of a convergent iterative method |
| MSC:
|
41A50 |
| MSC:
|
49D35 |
| MSC:
|
65D15 |
| idZBL:
|
Zbl 0664.65013 |
| idMR:
|
MR0949248 |
| DOI:
|
10.21136/AM.1988.104308 |
| . |
| Date available:
|
2008-05-20T18:34:51Z |
| Last updated:
|
2020-07-28 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/104308 |
| . |
| Reference:
|
[1] K. Glasshoff S. A. Gustafson: Linear Optimization and Approximation.Springer-Verlag, New York, 1983. MR 0697234 |
| Reference:
|
[2] F. Kálovics: An agorithm for best Chebyshev approxmations.Annales. Univ. Sci. Budapestinensis, Sectio Computatorica, 6(1985), 19-25. MR 0915220 |
| Reference:
|
[3] J. M. Ortega W. C. Rheinboldt: Iterative Solutions of Nonlinear Equations in Several Variables.Academic Press, New York, 1970. MR 0273810 |
| . |
