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Matrices related to interpolatory quadratures. (English) Zbl 0439.41017


MSC:

41A55 Approximate quadratures
65D32 Numerical quadrature and cubature formulas
65F15 Numerical computation of eigenvalues and eigenvectors of matrices
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References:

[1] Golub, G.H.: Some modified matrix eigenvalue problems. SIAM Review15, 318-334 (1973) · Zbl 0254.65027 · doi:10.1137/1015032
[2] Golub, G.H., Welsch, J.W.: Calculation of Gauss quadrature rules. Math. Comput.23, 220-230 (1969) · Zbl 0179.21901
[3] Shohat, J.A.: On a certain formula of mechanical quadratures with non-equidistant ordinates. Trans. Amer. Math. Soc.31, 448-463 (1929) · JFM 55.0307.04 · doi:10.1090/S0002-9947-1929-1501493-0
[4] Stancu, D.D., Stroud, A.H.: Quadrature formulas for simple Gaussian nodes and multiple fixed notes. Math. Comput.17, 384-394 (1963) · Zbl 0233.65013 · doi:10.1090/S0025-5718-1963-0157485-3
[5] Wilf, H.S.: Mathematics for the physical sciences. New York: Wiley, 1962 · Zbl 0105.26803
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