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The number of positive weights of a quadrature formula

  • Part II Numerical Mathematics
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Abstract

In this paper we show that the number of positive weights of a quadrature formula is related to the number of rotations of a certain path in the plane. Necessary and sufficient conditions for all weights to be positive can then be obtained. Also, much of classical theory appears in a new light.

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Authors and Affiliations

  1. Section de mathématiques, Université de Genève, Case postale 124, CH-1211, Genève 24, Switzerland

    G. Sottas & G. Wanner

Authors
  1. G. Sottas
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  2. G. Wanner
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Sottas, G., Wanner, G. The number of positive weights of a quadrature formula. BIT 22, 339–352 (1982). https://doi.org/10.1007/BF01934447

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  • DOI: https://doi.org/10.1007/BF01934447

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