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Juan-Miguel Gracia

3 papers hereh-index 5134 citations26 works total

Matching runs newest-first, so older work may not be attached to this profile yet.

author position
  • sole author2
  • middle author1

Across the 3 of 3 papers where every author was matched, so the position is known.

fields
  • math.SP3

identity via Semantic Scholar / OpenAlex

activity
20092021
most citedDirectional derivatives of the singular values of matrices depending on several real parameters

2 citations · 2 across the 3 of their papers we have counts for

collaborators

3 papers

math.SP2021

Normal matrices

Gorka Armentia, Juan-Miguel Gracia, Francisco-Enrique Velasco

Let A be a square complex matrix and z a complex number. The distance, with respect to the spectral norm, from A to the set of matrices which have z 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…

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Not affiliated with arXiv. Researcher data from Semantic Scholar (ODC-BY) and OpenAlex.