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

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
Vectorized Approach for Computing Eigenvalues from the List of 3x3 Real Symmetric Matrices
Original language description
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 "eig" 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.
Czech name
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Czech description
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Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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