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On the perturbation of semi-Fredholm relations with complemented ranges and null spaces

✍ Scribed by Teresa Álvarez

Publisher
Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2010
Tongue
English
Weight
201 KB
Volume
26
Category
Article
ISSN
1439-7617

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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