Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros

Result code in IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21220%2F09%3A00151840" target="_blank" >RIV/68407700:21220/09:00151840 - 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

Mapping Based Algorithm for Large-Scale Computation of Quasi-Polynomial Zeros

Original language description

A method for computing all zeros of a retarded quasi-polynomial that are located in a large region of the complex plane is presented. The method is based on mapping the quasi-polynomial and on utilizing asymptotic properties of the chains of zeros. First, the asymptotic exponentials of the chains are determined based on the distribution diagram of the quasi-polynomial. Secondly, large regions free of zeros are defined. Finally, the zeros are located as the intersection points of the zero-level curves ofthe real and imaginary parts of the quasi-polynomial, which are evaluated over the areas of the region outside those free of zeros.

Czech name

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Czech description

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Type

J_x - Unclassified - Peer-reviewed scientific article (Jimp, Jsc and Jost)

CEP classification

BC - Theory and management systems

OECD FORD branch

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Project

<a href="/en/project/1M0567" target="_blank" >1M0567: Centre for Applied Cybernetics</a><br>

Continuities

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year

2009

Confidentiality

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Name of the periodical

IEEE Transactions on Automatic Control

ISSN

0018-9286

e-ISSN

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Volume of the periodical

54

Issue of the periodical within the volume

1

Country of publishing house

US - UNITED STATES

Number of pages

7

Pages from-to

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UT code for WoS article

000262817100017

EID of the result in the Scopus database

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