### 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) |
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Pages (from-to) | 315-319 |

Number of pages | 5 |

Journal | Proceedings of the IEEE Conference on Decision and Control |

State | Published - Dec 1 1984 |

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## Cite this

Georgiou, T. T. (1984). TOPOLOGICAL VIEW OF THE NEVANLINNA-PICK PROBLEM: SOLUTIONS OF DIMENSION N.

*Proceedings of the IEEE Conference on Decision and Control*, 315-319.