Bounded rank perturbations of regular pencils over arbitrary fields

[EN] 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 generalizes the main result of [1], where a solution to the problem was given requiring a condition on the underlying field. (C) 2020 Elsevier Inc. All rights reserved.The authors would like to thank the referee for the comments and suggestions that have improved the presentation of the paper. This work was done within the activities of CEAFEL and was partially supported by Fundacao para a Ciencia e a Tecnologia, project UIDB/04721/2020 (M.D.), by "Ministerio de Economia, Industria y Competitividad (MINECO)" of Spain and Fondo Europeo de Desarrollo Regional (FEDER)" of EU through grants MTM2017-83624-P (I.B., A.R.), MTM2017-90682-REDT (I.B., A.R.), by UPV/EHU through grant GIU16/42 (I.B.), and by the Ministry of Education, Science and Technological Development of the Republic of Serbia, project no. 174020 (M.D.) and no. 174012 (M.S.).Baragana, I.; Dodig, M.; Roca Martinez, A.; Stosic, M. (2020). Bounded rank perturbations of regular pencils over arbitrary fields. Linear Algebra and its Applications. 601:180-188. https://doi.org/10.1016/j.laa.2020.05.01518018860