BIT Numerical Mathematics

, Volume 22, Issue 3, pp 339–352

The number of positive weights of a quadrature formula

  • G. Sottas
  • G. Wanner
Part II Numerical Mathematics

DOI: 10.1007/BF01934447

Cite this article as:
Sottas, G. & Wanner, G. BIT (1982) 22: 339. doi:10.1007/BF01934447

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.

Copyright information

© BIT Foundations 1982

Authors and Affiliations

  • G. Sottas
    • 1
  • G. Wanner
    • 1
  1. 1.Section de mathématiquesUniversité de GenèveGenève 24Switzerland