“Wrong” side interpolation by positive real rational functions Academic Article uri icon

abstract

  • Using polynomial interpolation, along with structural properties of the family of rational positive real functions, we here show that a set of m nodes in the open left half of the complex plane, can always be mapped to anywhere in the complex plane by rational positive real functions whose degree is at most m . Moreover we introduce an easy-to-find parametrization in R 2 m + 3 of a large subset of these interpolating functions.

publication date

  • January 1, 2018