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Norm estimates for inverses of Vandermonde matrices. (English) Zbl 0304.65031

MSC:
65F35 Numerical computation of matrix norms, conditioning, scaling
65F05 Direct numerical methods for linear systems and matrix inversion
15A60 Norms of matrices, numerical range, applications of functional analysis to matrix theory
15A09 Theory of matrix inversion and generalized inverses
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References:
[1] Bettis, D. G.: Numerical integration of products of Fourier and ordinary polynomials. Numer. Math.14, 421-434 (1970) · Zbl 0198.49601 · doi:10.1007/BF02163028
[2] Gautschi, W.: On inverses of Vandermonde and confluent Vandermonde matrices. Numer. Math.4, 117-123 (1962) · Zbl 0108.12501 · doi:10.1007/BF01386302
[3] Singhal, K., Vlach, J.: Accuracy and speed of real and complex interpolation. Computing11, 147-158 (1973) · Zbl 0263.65009 · doi:10.1007/BF02252904
[4] Szeg?, G.: Orthogonal polynomials, 2nd rev. ed., Amer. Math. Soc. Colloq. Publ., Vol.23, Amer. Math. Soc., Providence, R. I., 1959 · Zbl 0089.27501
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