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Differentiable families of traceless matrix triples

Author
Garcia-Planas, M.I.; Klymchuk, T.
Type of activity
Journal article
Journal
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas
Date of publication
2019-12-06
Volume
114
Number
11
First page
1
Last page
8
DOI
10.1007/s13398-019-00754-w
Repository
http://hdl.handle.net/2117/174673 Open in new window
URL
https://link.springer.com/journal/volumesAndIssues/13398 Open in new window
Abstract
Analysis of spectra of families of sets of matrices verifying certain properties is not simple because phenomena as singularities and bifurcations appear. An excellent tool for the analysis can be making use of versal deformations because of the spectrum of the family coincides with the spectrum of its versal deformation. Disposing of a versal deformation is advantageous since any perturbation of an element can be described up to equivalence by its versal deformation, and it gives the possibilit...
Citation
Garcia-Planas, M.I.; Klymchuk, T. Differentiable families of traceless matrix triples. "Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas", 6 Desembre 2019, vol. 114, núm. 11, p. 1-8.
Keywords
Families of sets of matrices, Traceless matrix, Versal deformation
Group of research
SCL-EG - Linear Control Systems: a Geometric Approach

Participants