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Title: Computational aspects of the symmetric eigenvalue problem of second order tensors
Authors: Hartmann, Stefan
???metadata.dc.subject.ddc???: 620 - Ingenieurwissenschaften (Engineering and allied operations)
Issue Date: 2003
Publisher: Institut für Mechanik, Otto-von-Guericke-Universität Magdeburg
Citation: In: Technische Mechanik. Magdeburg : Inst. für Mechanik. 23. 2003, H. 2/4, S. 283-294
URI: urn:nbn:de:hebis:34-2007061518699
ISSN: 0232-3869
???metadata.dc.description.everything???: 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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