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 R2m+3 of a large subset of these interpolating functions.
Original language | English |
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Pages (from-to) | 175-197 |
Number of pages | 23 |
Journal | Linear Algebra and Its Applications |
Volume | 539 |
DOIs | |
State | Published - 15 Feb 2018 |
Keywords
- Convex invertible cones
- Interpolation
- Nevanlinna–Pick interpolation
- Positive real rational functions
ASJC Scopus subject areas
- Algebra and Number Theory
- Numerical Analysis
- Geometry and Topology
- Discrete Mathematics and Combinatorics