Geodesic
Derivatives of the diameter and the area of a connected component of the pseudospectrum
The electronic journal of linear algebra, Tome 22 (2011), pp. 1004-1019.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: The paper concerns the relation between the following two quantities.$(i)$ The Hölder condition number of an eigenvalue $\lambda $of a square complex matrix. $(ii)$ The rate of growth of the diameter and the area of the connected component of the $\epsilon $-pseusospectrum containing $\lambda $.
Classification : 15A12, 15A18, 15A60, 65F35
Keywords: matrices, pseudospectra, condition number, eigenvalues, derivatives 
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     author = {Armentia, Gorka and Gracia, Juan-Miguel and Velasco, Francisco E.},
     title = {Derivatives of the diameter and the area of a connected component of the pseudospectrum},
     journal = {The electronic journal of linear algebra},
     pages = {1004--1019},
     publisher = {mathdoc},
     volume = {22},
     year = {2011},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2011__22__a12/}
}
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Armentia, Gorka; Gracia, Juan-Miguel; Velasco, Francisco E. Derivatives of the diameter and the area of a connected component of the pseudospectrum. The electronic journal of linear algebra, Tome 22 (2011), pp. 1004-1019. http://geodesic.mathdoc.fr/item/ELA_2011__22__a12/