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Eigenvalue Asymptotics of Layered Media and Their Applications to the Inverse Problem

โœ Scribed by Athanassoulis, Gerasimos A.; Papanicolaou, Vassilis G.

Book ID
118195173
Publisher
Society for Industrial and Applied Mathematics
Year
1997
Tongue
English
Weight
378 KB
Volume
57
Category
Article
ISSN
0036-1399

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We consider properties of a null space of an analytically perturbed matrix. In particular, we obtain Taylor expansions for the eigenvectors which constitute a basis for the perturbed null space. Furthermore, we apply these results to the calculation of Puiseux expansion of the perturbed eigenvectors