Failure of the alternating algorithm for best approximation of multivariate functions

DOI10.1016/0021-9045(83)90120-XzbMath0546.41024MaRDI QIDQ797762

E. W. Cheney, Manfred von Golitschek

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

zbMATH Keywords

alternating methodmultivariate functionsalternating algorithm

Mathematics Subject Classification ID

Best approximation, Chebyshev systems (41A50) Algorithms for approximation of functions (65D15)

Related Items

The Chebyshev solution of the linear matrix equation \(AX+YB=C\), Extremal signatures for bivariate Chebyshev approximation problems

Cites Work

• Optimal cycles in doubly weighted graphs and approximation of bivariate functions by univariate ones
• A straightforward generalization of Diliberto and Straus' algorithm does not work
• On the approximation of a function of several variables by the sum of functions of fewer variables
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