On a linear interpolation problem for n-dimensional vector polynomials

• Mikhail Kudryavtsev ^[1] ; Sergio Palafox ^[2] ; Luis O. Silva ^[2]
  1. [1] B Verkin Institute for Low Temperature Physics and Engineering

     B Verkin Institute for Low Temperature Physics and Engineering

     Ucrania

     
  2. [2] Universidad Nacional Autónoma de México

     Universidad Nacional Autónoma de México

     México

     
• Localización: Journal of approximation theory, ISSN 0021-9045, Vol. 199, Nº 1 (November 2015), 2015, págs. 45-62
• Idioma: inglés
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• Resumen

  • This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding nn scalar polynomials such that an equation involving a linear combination of them is satisfied for each one of the N interpolation nodes. The results of this work generalize previous results on the so-called rational interpolation and have applications to direct and inverse spectral analysis of band matrices.