Geodesic
A characterization of strong regularity of interval matrices
The electronic journal of linear algebra, Tome 20 (2010), pp. 717-722.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: As the main result of this paper it is proved that an interval matrix [A c - $\Delta $, A $c + \Delta $] is strongly regular if and only if the matrix inequality M (I - |I - RA c | - |R|$\Delta ) \geq I$ has a solution, where M and R are real square matrices and M is nonnegative. Several consequences of this result are drawn.
Classification : 65G40
Keywords: interval matrix, strong regularity, spectral radius, matrix inequality, solvability 
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     author = {Rohn, Jiri},
     title = {A characterization of strong regularity of interval matrices},
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     url = {http://geodesic.mathdoc.fr/item/ELA_2010__20__a4/}
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Rohn, Jiri. A characterization of strong regularity of interval matrices. The electronic journal of linear algebra, Tome 20 (2010), pp. 717-722. http://geodesic.mathdoc.fr/item/ELA_2010__20__a4/