A Newton-type method for non-linear eigenproblems
Kirill Vyacheslavovich Demyanko, Yu. M. Nechepurenko, Miloud Sadkane · Russian Journal of Numerical Analysis and Mathematical Modelling · 2017
Abstract This work is devoted to computations of invariant pairs associated with separated groups of finite eigenvalues of large regular non-linear matrix pencils. It is proposed to combine the method of successive linear problems with a Newton-type method designed for partial linear eigenproblems and a deflation procedure. This combination is illustrated with a typical hydrodynamic spatial stability problem.