Gauss quadratures and Jacobi matrices for weight functions not of one sign

Authors:
J. Kautsky and S. Elhay

Journal:
Math. Comp. **43** (1984), 543-550

MSC:
Primary 65D32; Secondary 41A55, 65F15

MathSciNet review:
758201

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Abstract: Construction of Gauss quadratures with prescribed knots via Jacobi matrices is extended to the case where not all orthogonal polynomials exist due to the weight function changing sign. An algorithm is described and is demonstrated by calculating the knots of Kronrod schemes and other Gauss quadratures with prescribed knots.

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DOI:
https://doi.org/10.1090/S0025-5718-1984-0758201-8

Article copyright:
© Copyright 1984
American Mathematical Society