Kautsky, Jaroslav Matrices related to interpolatory quadratures. (English) Zbl 0439.41017 Numer. Math. 36, 309-319 (1981). Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 ReviewCited in 5 Documents MSC: 41A55 Approximate quadratures 65D32 Numerical quadrature and cubature formulas 65F15 Numerical computation of eigenvalues and eigenvectors of matrices Keywords:interpolatory quadratures; matrices; Gauss-Lobatto quadratures PDFBibTeX XMLCite \textit{J. Kautsky}, Numer. Math. 36, 309--319 (1981; Zbl 0439.41017) Full Text: DOI EuDML 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 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.