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Optimally conditioned Vandermonde matrices. (English) Zbl 0316.65005

MSC:
65F35Matrix norms, conditioning, scaling (numerical linear algebra)
15A12Conditioning of matrices
90C30Nonlinear programming
References:
[1]Björck, Å., Elfving, T.: Algorithms for confluent Vandermonde systems. Numer. Math.21, 130-137 (1973) · Zbl 0255.65018 · doi:10.1007/BF01436299
[2]Gautschi, W.: Norm estimates for inverses of Vandermonde matrices. Numer. Math.23, 337-347 (1975) · Zbl 0304.65031 · doi:10.1007/BF01438260
[3]Luttmann, F. W., Rivlin, T. J.: Some numerical experiments in the theory of polynomial interpolation. IBM J. Res. Develop.9, 187-191 (1965) · doi:10.1147/rd.93.0187
[4]McCabe, J. H., Phillips, G. M.: On a certain class of Lebesgue constants. BIT13, 434-442 (1973) · Zbl 0274.41002 · doi:10.1007/BF01933407
[5]Powell, M. J. D.: On the maximum errors of polynomial approximations defined by interpolation and by least squares criteria. Comput. J.9, 404-407 (1967)