# Polynomial Eigenvalue Problem Solver - PEP

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() or PEPSetType()).

Examples

acoustic_wave_1d.c: Quadratic eigenproblem from an acoustics application (1-D).
acoustic_wave_2d.c: Quadratic eigenproblem from an acoustics application (2-D).
butterfly.c: Quartic polynomial eigenproblem with T-even structure.
damped_beam.c: Quadratic eigenproblem from the vibrarion analysis of a beam.
loaded_string.c: Finite element model of a loaded vibrating string.
pdde_stability.c: Stability analysis of a discretized partial delay-differential equation.
planar_waveguide.c: FEM solution of the propagation constants in a six-layer planar waveguide.
sleeper.c: Oscillations of a rail track resting on sleepers.
spring.c: FEM model of a damped mass-spring system.
wiresaw.c: Vibration analysis of a wiresaw.