Geometric Product for Multidimensional Dynamical Systems - Laplace Transform and Geometric Algebra
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F49777513%3A23520%2F18%3A43957978" target="_blank" >RIV/49777513:23520/18:43957978 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/EECS.2018.00018" target="_blank" >http://dx.doi.org/10.1109/EECS.2018.00018</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/EECS.2018.00018" target="_blank" >10.1109/EECS.2018.00018</a>
Alternative languages
Result language
angličtina
Original language name
Geometric Product for Multidimensional Dynamical Systems - Laplace Transform and Geometric Algebra
Original language description
This contribution describes a new approach to a solution of multidimensional dynamical systems using the Laplace transform and geometrical product, i.e. using inner product (dot product, scalar product) and outer product (extended cross-product). It leads to a linear system of equations Ax=0 or Ax=b which is equivalent to the outer product if the projective extension of the Euclidean system and the principle of duality are used. The paper explores property of the geometrical product in the frame of multidimensional dynamical systems. The proposed approach enables to avoid division operation and extents numerical precision as well. It also offers applications of matrix-vector and vector-vector operations in symbolic manipulation, which can lead to new algorithms and/or new formula. The proposed approach can be applied also for stability evaluation of dynamical systems. In the case of numerical computation, it supports vector operation and SSE instructions or GPU can be used efficiently.
Czech name
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Czech description
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Classification
Type
D - Article in proceedings
CEP classification
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OECD FORD branch
10201 - Computer sciences, information science, bioinformathics (hardware development to be 2.2, social aspect to be 5.8)
Result continuities
Project
<a href="/en/project/GA17-05534S" target="_blank" >GA17-05534S: Meshless methods for large scattered spatio-temporal vector data visualization</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)
Others
Publication year
2018
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
2018 2nd European Conference on Electrical Engineering and Computer Science (EECS)
ISBN
978-1-72811-929-8
ISSN
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e-ISSN
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Number of pages
5
Pages from-to
45-49
Publisher name
IEEE
Place of publication
Piscataway
Event location
Bern
Event date
Dec 20, 2018
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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