POLYNOMIALS WITH THE SCHUR PROPERTY AND THEIR CHARACTERIZATIONS

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F17%3A00534532" target="_blank" >RIV/60162694:G43__/17:00534532 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
POLYNOMIALS WITH THE SCHUR PROPERTY AND THEIR CHARACTERIZATIONS
Original language description
The paper discusses a distribution of the zeros of the polynomial $$p(lambda) = lambda^k-alphalambda^(k-m)-beta$$ with respect to the unit circle. This problem is of a theoretical as well as practical importance which motivated many authors to formulate necessary and sufficient conditions guaranteeing the location of all the zeros of $p(lambda)$ inside the unit circle. Using various approaches, different forms of conditions ensuring this property have been obtained. We give here an overview and comparisons of these conditions, and show equivalence between some of them.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
16-th conference on applied mathematics, Aplimat 2017 proceedings
ISBN
978-80-227-4650-2
ISSN
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e-ISSN
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Number of pages
10
Pages from-to
730-739
Publisher name
Slovak University of Technology in Bratislava
Place of publication
Bratislava
Event location
Bratislava
Event date
Jan 31, 2017
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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