Vector valued Thiele-Werner-type osculatory rational interpolants

  • Authors:
  • Jinbo Wang;Chuanqing Gu

  • Affiliations:
  • Department of Mathematics, Shanghai University, Shanghai 200436, PR China;Department of Mathematics, Shanghai University, Shanghai 200436, PR China

  • Venue:
  • Journal of Computational and Applied Mathematics - Special issue on proceedings of the international symposium on computational mathematics and applications
  • Year:
  • 2004

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Abstract

A method of solving vector-valued osculatory rational interpolation problems is presented by using the Samelson inverse of vectors. The rational interpolants are constructed in the form of Thiele-Werner-type continued fraction expression. Its interpolation structures are analyzed and important characteristic properties are obtained.