The Polynomial Eigenvalue Problem (PEP) solver is the object provided by SLEPc for specifying a polynomial eigenvalue problem. Apart from the specific solvers for this type of problems, there is an EPS-based solver, i.e., it uses a solver from EPS to solve a generalized eigenproblem obtained after linearization.
As in the other solver objects, users can set various options at runtime via the options database (e.g., -pep_nev 4 -pep_type linear).
Options can also be set directly in application codes by calling the corresponding routines (e.g., PEPSetDimensions() / PEPSetType()).
ex16.c: Simple quadratic eigenvalue problem
ex16f.F90: Simple example that solves a quadratic eigensystem with PEP.
ex17.c: Solves a polynomial eigenproblem P(l)x = 0 with matrices loaded from a file
ex28.c: A quadratic eigenproblem defined using shell matrices
ex38.c: Spectrum slicing on quadratic symmetric eigenproblem
ex40.c: Checking the definite property in quadratic symmetric eigenproblem
ex50.c: User-defined split preconditioner when solving a quadratic eigenproblem