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Gautschi, Walter

The condition of Vandermonde-like matrices involving orthogonal polynomials. (English) Zbl 0522.33005

Linear Algebra Appl. 52-53, 293-300 (1983).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0522.33005

Cited in 29 Documents

MSC:

33C45 Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.)
42C05 Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis

Keywords:

Frobenius norm; Vandermonde-like matrices

Software:

Algorithm 500
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Full Text: DOI

References:

[1] Nevai, P. G., Orthogonal polynomials, (Mem. Amer. Math. Soc., 18 (1979), Amer. Math. Soc: Amer. Math. Soc Providence, R.I), No. 213 · Zbl 0509.30029
[2] Posse, C., Sur les quadratures, Nouv. Ann. Math., 14, 2, 49-62 (1875) · JFM 07.0156.02
[3] Shanno, D. F.; Phua, K. H., Remark on Algorithm 500, ACM Trans. Math. Software, 6, 618-622 (1980)
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