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Vector Orthogonal Polynomials of Dimension -d

  • C. Brezinski
  • J. Van Iseghem
Part of the ISNM International Series of Numerical Mathematics book series (ISNM, volume 119)

Abstract

Vector orthogonal polynomials of dimension -d where d is a nonzero positive integer are defined. They are proved to satisfy a recurrence relation with d + 2 terms. A Shohat-Favard type theorem and a QD like algorithm are given.

Keywords

Orthogonal polynomials biorthogonality recurrence relations 

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References

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Copyright information

© Birkhäuser 1994

Authors and Affiliations

  • C. Brezinski
    • 1
  • J. Van Iseghem
    • 2
  1. 1.Laboratoire d’Analyse Numérique et d’Optimisation, UFR IEEA-M3Université des Sciences et Technologies de LilleVilleneuve d’Ascq cedexFrance
  2. 2.U.F.R. de Mathématiques Pures et AppliquéesUniversité des Sciences et Technologies de LilleVilleneuve d’Ascq cedexFrance

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