Derivatives of the diameter and the area of a connected component of the pseudospectrum

Gorka Armentia, Juan-Miguel Gracia, Francisco E. Velasco
2011 The Electronic Journal of Linear Algebra  
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.
doi:10.13001/1081-3810.1487 fatcat:ycjuvkawkfaqnbc4za25eu53uq