2014/01/17 by Mikhail Kudryavtsev, Kudryavtsev, Mikhail, Sergio Palafox +3
Mathematics · #30E05 #41A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #math.CA #msc:30E05 #msc:41A05
paper · pdf · doi:10.48550/arxiv.1401.5384
21 pages, no figures. Typographical errors corrected. References added
arxiv created 2015/06/23 · arxiv updated 2015/06/24
This work provides a complete characterization of the solutions of a linear interpolation problem for vector polynomials. The interpolation problem consists in finding n 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.