The number of positive weights of a quadrature formula |
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| Authors: | G. Sottas G. Wanner |
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| Affiliation: | (1) Section de mathématiques, Université de Genève, Case postale 124, CH-1211 Genève 24, Switzerland |
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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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