Abstract
Based on a topological property of a certain map, it is established that when the (n plus 1)-point Nevanlinna-Pick problem is solvable, then for any dissipation polynomial of degree n or less, there corresponds an interpolating function with dimension at most n. The results provide a topological proof for the sufficiency of Pick's criterion for the solvability of the Nevanlinna-Pick problem.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 315-319 |
| Number of pages | 5 |
| Journal | Proceedings of the IEEE Conference on Decision and Control |
| State | Published - Dec 1 1984 |