Geodesic
A fast iteration for uniform approximation
Applications of Mathematics, Tome 33 (1988) no. 4, pp. 269-276.

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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.
DOI : 10.21136/AM.1988.104308
Classification : 41A50, 49D35, 65D15
Keywords: Chebyshev system; extremal points; iterative algorithm; Chebyshev approximations; numerical examples; $Q$-order of a convergent iterative method 
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     author = {K\'alovics, Ferenc},
     title = {A fast iteration for uniform approximation},
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     url = {http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104308/}
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Kálovics, Ferenc. A fast iteration for uniform approximation. Applications of Mathematics, Tome 33 (1988) no. 4, pp. 269-276. doi : 10.21136/AM.1988.104308. http://geodesic.mathdoc.fr/articles/10.21136/AM.1988.104308/

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