Campos, Carmen; Jose E. Roman(Springer-Verlag, 2020-06)
[EN] Large-scale polynomial eigenvalue problems can be solved by Krylov methods operating on an equivalent linear eigenproblem (linearization) of size d center dot n where d is the polynomial degree and n is the problem ...
Araujo C., Juan C.; Campos, Carmen; Engstrom, Christian; Roman, Jose E.(Elsevier, 2020-04-15)
[EN] In this paper we consider scattering resonance computations in optics when the resonators consist of frequency dependent and lossy materials, such as metals at optical frequencies. The proposed computational approach ...
Campos González, María Carmen(Universitat Politècnica de València, 2013-03-10)
[ES] En el contexto de problemas de valores propios generalizados simétricos definidos, frecuentemente es necesario calcular todos los autovalores contenidos en un intervalo dado. En problemas de gran escala, el método ...
Campos González, María Carmen(Universitat Politècnica de València, 2017-09-01)
The polynomial eigenvalue problem appears in many areas of scientific and technical computing. It can be seen as a generalization of the linear eigenvalue problem in which the equation P(lambda)x = 0, that defines the ...
Jose E. Roman; Alvarruiz Bermejo, Fernando; Campos, Carmen; Dalcin, Lisandro; Jolivet, Pierre; Lamas Daviña, Alejandro(Association for Computing Machinery, 2023-09)
[EN] This short article describes the main newfeatures added to SLEPc, the Scalable Library for Eigenvalue Problem Computations, in the past two and a half years, corresponding to five release versions. The main novelty ...
Campos, Carmen; Román Moltó, José Enrique(John Wiley & Sons, 2020-08)
[EN] In the quadratic eigenvalue problem (QEP) with all coefficient matrices symmetric, there can be complex eigenvalues. However, some applications need to compute real eigenvalues only. We propose a Lanczos-based method ...
Campos, Carmen; Roman, Jose E.(Association for Computing Machinery, 2021-06)
[EN] SLEPc is a parallel library for the solution of various types of large-scale eigenvalue problems. Over the past few years, we have been developing a module within SLEPc, called NEP, that is intended for solving nonlinear ...
[EN] We present a framework to solve non-linear eigenvalue problems suitable for a Finite Element discretization. The implementation is based on the open-source finite element software GetDP and the open-source library ...
Campos González, Maria Camen; Román Moltó, José Enrique(Springer Verlag (Germany), 2012-06)
In the context of symmetric-definite generalized eigenvalue problems, it is often required to compute all eigenvalues contained in a prescribed interval. For large-scale problems, the method of choice is the so-called ...
Alvarruiz Bermejo, Fernando; Campos, Carmen; Roman, Jose E.(Elsevier, 2024-04)
[EN] The computation of the partial generalized singular value decomposition (GSVD) of large-scale matrix pairs can be approached by means of iterative methods based on expanding subspaces, particularly Krylov subspaces. ...