NEP swMATH ID: 41147 Software Authors: Campos, Carmen; Roman, Jose E. Description: NEP. A module for the parallel solution of nonlinear eigenvalue problems in SLEPc. 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 eigenvalue problems. These problems can be defined by means of a matrix-valued function that depends nonlinearly on a single scalar parameter. We do not consider the particular case of polynomial eigenvalue problems (which are implemented in a different module in SLEPc) and focus here on rational eigenvalue problems and other general nonlinear eigenproblems involving square roots or any other nonlinear function. The article discusses how the NEP module has been designed to fit the needs of applications and provides a description of the available solvers, including some implementation details such as parallelization. Several test problems coming from real applications are used to evaluate the performance and reliability of the solvers. Homepage: https://arxiv.org/abs/1910.11712 Keywords: eigenvalue computations; SLEPc; message-passing parallelization; nonlinear eigenvalue problem Related Software: NLEIGS; SLEPc; DLMF; deal.ii; NEP-PACK; FEAST; PETSc Cited in: 2 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year NEP. A module for the parallel solution of nonlinear eigenvalue problems in SLEPc. Zbl 07467954Campos, Carmen; Roman, Jose E. 2021 Cited by 4 Authors 2 Campos, Carmen 2 Román, Jose E. 1 Araújo C., Juan C. 1 Engström, Christian Cited in 2 Serials 1 Journal of Computational Physics 1 ACM Transactions on Mathematical Software Cited in 3 Fields 1 Numerical analysis (65-XX) 1 Optics, electromagnetic theory (78-XX) 1 Statistical mechanics, structure of matter (82-XX) Citations by Year