Perturbation Analysis of Reduced Resolvents and Generalized Inverses
نویسندگان
چکیده
We investigate analytic perturbations of the reduced resolvent of a nite-dimensional linear operator (also known as Drazin inverse in the linear algebra literature). Our approach is based on spectral theory of linear operators as well as on a new notion of group reduced resolvent. It allows to treat regular and singular perturbations in a uniied framework. We provide an algorithm for computing the coeecients of the Laurent series of the perturbed reduced resolvent. In particular, the regular part coeecients can be calculated by simple recursive formulae. Finally, we apply these results to the perturbation analysis of Moore-Penrose generalized inverses.
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تاریخ انتشار 2001