Two-sided methods for the nonlinear eigenvalue problem

Campos, Carmen; Roman, Jose E.

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Two-sided methods for the nonlinear eigenvalue problem

Autor(es) y otros:

Campos, Carmen; Roman, Jose E.

Fecha de publicación:

2021

Editorial:

Servicio de Publicaciones de la Universidad de Oviedo

Citación:

Campos, Carmen y Roman, Jose E. (2021) Two-sided methods for the nonlinear eigenvalue problem. En Gallego, R. y Mateos, M.(editores) Proceedings of the XXVI Congreso de Ecuaciones Diferenciales y Aplicaciones. XVI Congreso de Matemática Aplicada (pp. 97-104). Oviedo : Universidad de Oviedo, Servicio de Publicaciones

Descripción física:

p. 97-104

Resumen:

We discuss solvers for the general nonlinear eigenvalue problem that are able to compute both left and right eigenvectors. A possible application is the approximation of the resolvent of a matrix-valued function. Our focus is on large-scale problems, in the context of SLEPc, the Scalable Library for Eigenvalue Problem Computations. We present two-sided variants of the NLEIGS and SLP methods. For the latter, we have implemented a nonequivalence deflation scheme. The accuracy and performance of the methods are analyzed for several problems coming from real applications.