dc.contributor
Universitat Politècnica de Catalunya. Departament de Matemàtiques
dc.contributor
Universitat Politècnica de Catalunya. SCL-EG - Sistemes de Control Lineals: estudi Geomètric
dc.contributor.author
Magret Planas, Maria dels Dolors
dc.date.issued
2017-06-26
dc.identifier
Magret, M. D. Perturbation of matrices preserving the Segre characteristics of the non-nilpotent Jordan blocks. A: "CEDYA 2017 -Communications Book". 2017, p. 429-432.
dc.identifier
978-84-944402-1-2
dc.identifier
http://www.cedya2017.org/archivos/libroComunicacionesDefinitivasCEDYA+CMA2017.pdf
dc.identifier
https://hdl.handle.net/2117/114874
dc.description.abstract
Abstract
We consider in the space of square matrices with complex co-
efficients the following equivalence relation: two matrices are
said to be equivalent if and only if the direct sum of the non-
nilpotent Jordan blocks in their canonical Jordan form are the
same (up to permutation of the blocks), and allowing the nilpo-
tent Jordan blocks to be different. This condition is equivalent
to having the same Drazin inverses. We study the structure of
the sets consisting of matrices which satisfy this condition (that
is to say, equivalence classes).
If we consider the sets of matrices which have the same Segre
characteristics for the non-zero eigenvalues, allowing their val-
ues to be different, we obtain a stratification. We also investi-
gate the effect of small perturbations, constructing closure hi-
erarchies and identifying more generic and more degenerated
nearby matrices to a given one.
dc.description.abstract
Peer Reviewed
dc.description.abstract
Postprint (author's final draft)
dc.format
application/pdf
dc.relation
http://www.cedya2017.org/archivos/libroComunicacionesDefinitivasCEDYA+CMA2017.pdf
dc.rights
http://creativecommons.org/licenses/by-nc-nd/3.0/es/
dc.rights
Restricted access - publisher's policy
dc.rights
Attribution-NonCommercial-NoDerivs 3.0 Spain
dc.subject
Àrees temàtiques de la UPC::Matemàtiques i estadística
dc.subject
Perturbation (Mathematics)
dc.subject
Stratification
dc.subject
space of matrices
dc.subject
Pertorbació (Matemàtica)
dc.subject
Matrius (Matemàtica)
dc.title
Perturbation of matrices preserving the Segre characteristics of the non-nilpotent Jordan blocks
dc.type
Part of book or chapter of book
