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)|
|Number of pages||5|
|Journal||Proceedings of the IEEE Conference on Decision and Control|
|State||Published - Dec 1 1984|