Enclosing all zeros of a system of analytic functions

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68378271%3A_____%2F19%3A00501693" target="_blank" >RIV/68378271:_____/19:00501693 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1016/j.amc.2018.08.041" target="_blank" >http://dx.doi.org/10.1016/j.amc.2018.08.041</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1016/j.amc.2018.08.041" target="_blank" >10.1016/j.amc.2018.08.041</a>

Result language
angličtina
Original language name
Enclosing all zeros of a system of analytic functions
Original language description
We present a rigorous numerical method for location of simple zeros of a system of two analytic functions in a rectangular cuboid domain based on the logarithmic integral. We compare this to a simpler, also rigorous, method based on bisection. The latter is determined to be more efficient in the examples considered. This is mainly due to inefficient methods for computing the logarithmic integral occurring in the former method.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
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OECD FORD branch
10305 - Fluids and plasma physics (including surface physics)

Project
<a href="/en/project/EF15_008%2F0000162" target="_blank" >EF15_008/0000162: ELI - EXTREME LIGHT INFRASTRUCTURE - phase 2</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)<br>I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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