Gauss quadratures and Jacobi matrices for weight functions not of one sign
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- by J. Kautsky and S. Elhay PDF
- Math. Comp. 43 (1984), 543-550 Request permission
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.References
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Additional Information
- © Copyright 1984 American Mathematical Society
- Journal: Math. Comp. 43 (1984), 543-550
- MSC: Primary 65D32; Secondary 41A55, 65F15
- DOI: https://doi.org/10.1090/S0025-5718-1984-0758201-8
- MathSciNet review: 758201