QPmR - Quasi-Polynomial Root-Finder: Algorithm Update and Examples
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F14%3A00208787" target="_blank" >RIV/68407700:21220/14:00208787 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1007/978-3-319-01695-5_22" target="_blank" >http://dx.doi.org/10.1007/978-3-319-01695-5_22</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1007/978-3-319-01695-5_22" target="_blank" >10.1007/978-3-319-01695-5_22</a>
Alternative languages
Result language
angličtina
Original language name
QPmR - Quasi-Polynomial Root-Finder: Algorithm Update and Examples
Original language description
An updated QPmR algorithm implementation for computation and analysis of the spectrum of quasi-polynomials is presented. The objective is to compute all the zeros of a quasi-polynomial located in a given region of the complex plane. The root-finding task is based on mapping the quasi-polynomial in the complex plane. Consequently, utilizing spectrum distribution diagram of the quasi-polynomial, the asymptotic exponentials of the retarded chains are determined. If the quasi-polynomial is of neutral type, the spectrum of associated exponential polynomial is assessed, supplemented by determining the safe upper bound of its spectrum. Next to the outline of the computational tools involved in QPmR, its Matlab implementation is presented. Finally, the algorithm is demonstrated by three examples.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
BC - Theory and management systems
OECD FORD branch
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Result continuities
Project
<a href="/en/project/LH12066" target="_blank" >LH12066: Spectral methods for vibration suppression and control design of mechanical systems with feedback delays</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Delay Systems: From Theory to Numerics and Applications
ISBN
978-3-319-01694-8
ISSN
2197-117X
e-ISSN
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Number of pages
14
Pages from-to
299-312
Publisher name
Springer
Place of publication
New York
Event location
Boston, MA
Event date
Jun 22, 2012
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000337342300023