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On a linear interpolation problem for n-dimensional vector polynomials

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.

preprint2015arXivOpen access
Mikhail KudryavtsevSergio PalafoxLuis O. Silva
math.CA
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Open access3 authors1 topic
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Mikhail KudryavtsevSergio PalafoxLuis O. Silva

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