Derivatives of the diameter and the area of a connected component of the pseudospectrum
View/ Open
Date
2011-01-01Author
Armentia Galán, Gorka
Gracia Melero, Juan Miguel
Velasco Angulo, Francisco Enrique
Metadata
Show full item record
Electronic Journal of Linear Algebra 22 :1004-1019 (2011)
Abstract
The paper concerns the relation between the following two quantities.
(i) The Hölder condition number of an eigenvalue λ of a square complex matrix.
(ii) The rate of growth of the diameter and the area of the connected component of the
ε-pseusospectrum containing λ.