Bounded rank perturbations of regular pencils over arbitrary fields
Sign Up to like & getrecommendations! Published in 2020 at "Linear Algebra and its Applications"
DOI: 10.1016/j.laa.2020.05.015
Abstract: Abstract In this paper we solve the bounded rank perturbation problem for regular pencils over arbitrary fields. The solution is obtained by reducing the problem to a row completion problem for matrix pencils. The result… read more here.
Keywords: regular pencils; rank perturbations; bounded rank; pencils arbitrary ... See more keywords
A geometric method for eigenvalue problems with low-rank perturbations
Sign Up to like & getrecommendations! Published in 2017 at "Royal Society Open Science"
DOI: 10.1098/rsos.170390
Abstract: We consider the problem of finding the spectrum of an operator taking the form of a low-rank (rank one or two) non-normal perturbation of a well-understood operator, motivated by a number of problems of applied… read more here.
Keywords: rank perturbations; method eigenvalue; geometric method; eigenvalue problems ... See more keywords