Geodesic
Perturbations of functions of diagonalizable matrices
The electronic journal of linear algebra, Tome 20 (2010), pp. 303-313.

Voir la notice de l'article provenant de la source 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
Keywords: 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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     year = {2010},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a32/}
}
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Gil, Michael I. Perturbations of functions of diagonalizable matrices. The electronic journal of linear algebra, Tome 20 (2010), pp. 303-313. http://geodesic.mathdoc.fr/item/ELA_2010__20__a32/