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.
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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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

[1] K. Glasshoff S. A. Gustafson: Linear Optimization and Approximation. Springer-Verlag, New York, 1983. | MR

[2] F. Kálovics: An agorithm for best Chebyshev approxmations. Annales. Univ. Sci. Budapestinensis, Sectio Computatorica, 6(1985), 19-25. | MR

[3] J. M. Ortega W. C. Rheinboldt: Iterative Solutions of Nonlinear Equations in Several Variables. Academic Press, New York, 1970. | MR

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