Aufsatz
Computational aspects of the symmetric eigenvalue problem of second order tensors
Citation
In: Technische Mechanik. Magdeburg : Inst. für Mechanik. 23. 2003, H. 2/4, S. 283-294Citation
@article{urn:nbn:de:hebis:34-2007061518699,
author={Hartmann, Stefan},
title={Computational aspects of the symmetric eigenvalue problem of second order tensors},
year={2003}
}
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2007-06-15T12:08:33Z 2007-06-15T12:08:33Z 2003 0232-3869 urn:nbn:de:hebis:34-2007061518699 http://hdl.handle.net/123456789/2007061518699 120373 bytes application/pdf eng Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg Urheberrechtlich geschützt https://rightsstatements.org/page/InC/1.0/ 620 Computational aspects of the symmetric eigenvalue problem of second order tensors Aufsatz open access In: Technische Mechanik. Magdeburg : Inst. für Mechanik. 23. 2003, H. 2/4, S. 283-294 Hartmann, Stefan The symmetric eigenvalue problem of second order tensors or 3 x 3 matrices, respectively, is a frequently treated topic in the field of Computational Mechanics because there exist analytical solutions. However, there are several known difficulties in the numerical computation of the analytical formulae which are recapitulated in this article. In order to show this, a sensitivity analysis is applied and a comparison of different procedures to calculate the eigenvalues, eigenvectors and eigendyades is carried out.
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