Vectorized Approach for Computing Eigenvalues from the List of 3x3 Real Symmetric Matrices

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27120%2F23%3A10254048" target="_blank" >RIV/61989100:27120/23:10254048 - isvavai.cz</a>

Výsledek na webu

<a href="https://pubs.aip.org/aip/acp/article-abstract/2849/1/310001/2909176/Vectorized-approach-for-computing-eigenvalues-from?redirectedFrom=fulltext" target="_blank" >https://pubs.aip.org/aip/acp/article-abstract/2849/1/310001/2909176/Vectorized-approach-for-computing-eigenvalues-from?redirectedFrom=fulltext</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1063/5.0162194" target="_blank" >10.1063/5.0162194</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Vectorized Approach for Computing Eigenvalues from the List of 3x3 Real Symmetric Matrices

Popis výsledku v původním jazyce

The paper deals with the eigenvalue computation of real symmetric matrices of size three. This problem is usually a part of student exams in the basic linear algebra courses and the solution by the characteristic polynomial belongs to crucial skills of successful graduates. However, in practical applications, e.g., numerical solution of elastoplasticity problems by finite element method, this basic solution process is not applicable and the problem is solved numerically. For instance, Matlab provides the &quot;eig&quot; command for the eigenvalue computation but the sequential calling of this function through all of the integration points can became easily the bottleneck. In our contribution, we provide and examine the vectorized approach of the solution process, which can be easily implemented in any scripting language, such as Matlab or Python.

Název v anglickém jazyce

Vectorized Approach for Computing Eigenvalues from the List of 3x3 Real Symmetric Matrices

Popis výsledku anglicky

The paper deals with the eigenvalue computation of real symmetric matrices of size three. This problem is usually a part of student exams in the basic linear algebra courses and the solution by the characteristic polynomial belongs to crucial skills of successful graduates. However, in practical applications, e.g., numerical solution of elastoplasticity problems by finite element method, this basic solution process is not applicable and the problem is solved numerically. For instance, Matlab provides the &quot;eig&quot; command for the eigenvalue computation but the sequential calling of this function through all of the integration points can became easily the bottleneck. In our contribution, we provide and examine the vectorized approach of the solution process, which can be easily implemented in any scripting language, such as Matlab or Python.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

V - Vyzkumna aktivita podporovana z jinych verejnych zdroju

Rok uplatnění

2023

Kód důvěrnosti údajů

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

Název statě ve sborníku

AIP Conference Proceedings

ISBN

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ISSN

0094-243X

e-ISSN

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Počet stran výsledku

4

Strana od-do

310001

Název nakladatele

American Institute of Physics

Místo vydání

New York

Místo konání akce

Rhodos

Datum konání akce

20. 9. 2021

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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