This article, which covers some of the material presented in a minicourse at the MTNS, surveys some recent advances in the area of inverse eigenvalue problems. Those advances were mainly based on several theorems of algebraic geometry. In order to explain this connection and to make the article self-contained, we summarize in the next section the notions and results needed from algebraic geometry. In the sequel we give a series of examples which explain the kind of problems which we would like to treat in a unified way.

Rosenthal, J; Wang, X (1997). *Inverse eigenvalue problems for multivariable linear systems.* In: Byrnes, C I; Datta, B N; Martin, C F; Gilliam, D S. Systems and control in the twenty-first century (St. Louis, MO, 1996). Boston, MA: Birkhäuser, 289-311.

## Abstract

This article, which covers some of the material presented in a minicourse at the MTNS, surveys some recent advances in the area of inverse eigenvalue problems. Those advances were mainly based on several theorems of algebraic geometry. In order to explain this connection and to make the article self-contained, we summarize in the next section the notions and results needed from algebraic geometry. In the sequel we give a series of examples which explain the kind of problems which we would like to treat in a unified way.

## Citations

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## Additional indexing

Item Type: | Book Section, refereed, original work |
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Communities & Collections: | 07 Faculty of Science > Institute of Mathematics |

Dewey Decimal Classification: | 510 Mathematics |

Language: | English |

Date: | 1997 |

Deposited On: | 16 Mar 2010 10:58 |

Last Modified: | 05 Apr 2016 13:26 |

Publisher: | Birkhäuser |

Series Name: | Progress in Systems and Control Theory |

Number: | 22 |

ISBN: | 0-8176-3881-4 |

Official URL: | http://www.springer.com/birkhauser/mathematics/book/978-0-8176-3881-8 |

Related URLs: | http://www.ams.org/mathscinet-getitem?mr=1427789 http://www.ams.org/mathscinet-getitem?mr=1427773 |

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