FINDING ZEROS OF ANALYTIC FUNCTIONS AND LOCAL EIGENVALUE ANALYSIS USING CONTOUR INTEGRAL METHOD IN EXAMPLES
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27240%2F17%3A10238501" target="_blank" >RIV/61989100:27240/17:10238501 - isvavai.cz</a>
Alternative codes found
RIV/61989100:27740/17:10238501
Result on the web
<a href="http://advances.utc.sk/index.php/AEEE/article/view/2252/1240" target="_blank" >http://advances.utc.sk/index.php/AEEE/article/view/2252/1240</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.15598/aeee.v15i2.2252" target="_blank" >10.15598/aeee.v15i2.2252</a>
Alternative languages
Result language
angličtina
Original language name
FINDING ZEROS OF ANALYTIC FUNCTIONS AND LOCAL EIGENVALUE ANALYSIS USING CONTOUR INTEGRAL METHOD IN EXAMPLES
Original language description
A numerical method for computing zeros of analytic complex functions is presented. It relies on Cauchy's residue theorem and the method of Newton's identities, which translates the problem to finding zeros of a polynomial. In order to stabilize the numerical algorithm, formal orthogonal polynomials are employed. At the end the method is adapted to finding eigenvalues of a matrix pencil in a bounded domain in the complex plane. This work is based on a series of papers of Professor Sakurai and collaborators. Our aim is to make their work available by means of a systematic study of properly chosen examples.
Czech name
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Czech description
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Classification
Type
J<sub>SC</sub> - Article in a specialist periodical, which is included in the SCOPUS database
CEP classification
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OECD FORD branch
10102 - Applied mathematics
Result continuities
Project
—
Continuities
S - Specificky vyzkum na vysokych skolach
Others
Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Name of the periodical
Advances in Electrical and Electronic Engineering
ISSN
1336-1376
e-ISSN
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Volume of the periodical
15
Issue of the periodical within the volume
2
Country of publishing house
CZ - CZECH REPUBLIC
Number of pages
10
Pages from-to
286-295
UT code for WoS article
000409044400020
EID of the result in the Scopus database
2-s2.0-85025623282