Perturbations of functions of diagonalizable matrices
ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 303-313.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: Let A and à be n $\times n$ diagonalizable matrices and f be a function defined on their spectra. In the present paper, bounds for the norm of f (A) - f ( à ) are established. Applications to differential equations are also discussed.
Classification : 15A54, 15A45, 15A60
Mots-clés : matrix valued functions, perturbations, similarity of matrices, diagonalizable matrices 
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     author = {Gil, Michael I.},
     title = {Perturbations of functions of diagonalizable matrices},
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     pages = {303--313},
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     year = {2010},
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     url = {https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a32/}
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Gil, Michael I. Perturbations of functions of diagonalizable matrices. ELA. The Electronic Journal of Linear Algebra, Tome 20 (2010), pp. 303-313. https://geodesic-test.mathdoc.fr/item/EEJLA_2010__20__a32/