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math.SP2021
Normal matrices
Gorka Armentia, Juan-Miguel Gracia, Francisco-Enrique Velasco
Let be a square complex matrix and a complex number. The distance, with respect to the spectral norm, from to the set of matrices which have as an eigenvalue is les…
math.SP2015★ 2 cited
Directional derivatives of the singular values of matrices depending on several real parameters
Juan-Miguel Gracia
In this document I recapitulate some results by Hiriart-Urruty and Ye (1995) concerning the properties of differentiability and the existence of lateral directional derivatives of…
math.SP2009
Multiplicities of the structured pseudoeigenvalues
Juan-Miguel Gracia
The structured pseudospectra of a matrix A are sets of complex numbers that are eigenvalues of matrices X which are near to A and have the same entries as A at a fixed set of place…