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International Journal of Pure and Apllied Mathematics
Article . 2014 . Peer-reviewed
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International Journal of Pure and Apllied Mathematics
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q-RADIUS STABILITY OF MATRIX POLYNOMIALS

descriptionPublicationkeyboard_double_arrow_right Article 14 Aug 2014 English Publisher:Academic PublicationsJournal:International Journal of Pure and Apllied Mathematics, volume 94 (issn: 1311-8080, eissn: 1314-3395, Copyright policy )
Authors: B. Yousefi; Y. Jahanshahi;

doi: 10.12732/ijpam.v94i5.13

q-RADIUS STABILITY OF MATRIX POLYNOMIALS

Abstract

In this paper, the q−radius stability of a matrix polynomial P(λ) relative to an open region of the complex plane and its relation to the q−numerical range of P(λ) are investigated. Also, we obtain a lower bound that involves the distance of to the connected components of the q−numerical range of P(λ).

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citations
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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