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Approximate greatest common divisor of many polynomials and pseudo-spectrum

Fatouros, S., Karcanias, N., Christou, D. & Papadopoulos, P. (2013). Approximate greatest common divisor of many polynomials and pseudo-spectrum. System, Structure and Control, 46(2), pp. 623-628. doi: 10.3182/20130204-3-fr-2033.00113


The paper is concerned with establishing the links between the approximate GCD of a set of polynomials and the notion of the pseudo-spectrum defined on a set of polynomials. By examining the pseudo-spectrum of the structured matrix we will derive estimates of the area of the approximate roots of the initial polynomial set. We will relate the strength of the GCD to the weighted strength of the pseudo-spectra and we investigate under which conditions the roots of the approximate GCDs are a subset of the pseudo-spectra.

Publication Type: Article
Publisher Keywords: Linear systems; approximate GCD; pseudo-spectrum; strength; algebraic computations
Subjects: Q Science > QA Mathematics
Departments: School of Science & Technology > Engineering
SWORD Depositor:
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