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Hermite indices and equivalence relations

✍ Scribed by I Baragaña; V Fernández; I Zaballa

Publisher
Elsevier Science
Year
2004
Tongue
English
Weight
203 KB
Volume
379
Category
Article
ISSN
0024-3795

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✦ Synopsis

The Hermite indices are invariant for the right equivalence of non-singular polynomial matrices and for the similarity of controllable matrix pairs. Nevertheless, they do not form a complete system of invariants.

The aim of this work is to define two equivalence relations, one in the set of non-singular polynomial matrices and the other one in the set of controllable matrix pairs for which the Hermite indices form a complete system of invariants.

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