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Dynamic Polynomial Combinants and Generalised Resultants

Galanis, Giorgos. 2010. Dynamic Polynomial Combinants and Generalised Resultants. The Bulletin of the Hellenic Mathematical Society, 57, pp. 229-250. [Article]

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Abstract or Description

The theory of constant polynomial combinants has been well developed and it is linked to the linear part of the constant Determinantal Assignment problem that provides the unifying description of the pole and zero assignment problems in Linear Systems. Considering the case of dynamic pole, zero assign- ment problems leads to the emergence of dynamic polynomial combinants. This paper aims to demonstrate the origin of dynamic polynomial combinants from Linear Systems, and develop the fundamentals of the relevant theory by estab- lishing their link to the theory of Generalised Resultants and examining issues of their parameterization according to the notions of order and degree. The paper provides a description of the key spectral assignment problems, derives the con- ditions for arbitrary assignability of spectrum and introduces a parameterization of combinants according to their order and degree.

Item Type:

Article

Related URLs:

Departments, Centres and Research Units:

Institute of Management Studies

Dates:

DateEvent
2010Published

Item ID:

22312

Date Deposited:

04 Dec 2017 12:48

Last Modified:

09 Jul 2018 15:16

Peer Reviewed:

Yes, this version has been peer-reviewed.

URI:

http://research.gold.ac.uk/id/eprint/22312

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