**slepc-3.10.1 2018-10-23**

## Eigenvalue Problem Solver - EPS: Examples

The Eigenvalue Problem Solver (EPS) is the object provided by SLEPc for specifying a linear eigenvalue problem, either in standard or generalized form. It provides uniform and efficient access to all of the linear eigensolvers included in the package.

EPS users can set various options at runtime via the options database (e.g., `-eps_nev 4 -eps_type arnoldi`

).
Options can also be set directly in application codes by calling the corresponding routines (e.g., EPSSetDimensions() / EPSSetType()).

ex1.c: Standard symmetric eigenproblem corresponding to the Laplacian operator in 1 dimension

ex2.c: Standard symmetric eigenproblem corresponding to the Laplacian operator in 2 dimensions

ex3.c: Solves the same eigenproblem as in example ex2, but using a shell matrix

ex4.c: Solves a standard eigensystem Ax=kx with the matrix loaded from a file

ex5.c: Eigenvalue problem associated with a Markov model of a random walk on a triangular grid

ex7.c: Solves a generalized eigensystem Ax=kBx with matrices loaded from a file

ex9.c: Solves a problem associated to the Brusselator wave model in chemical reactions, illustrating the use of shell matrices

ex10.c: Illustrates the use of shell spectral transformations

ex11.c: Computes the smallest nonzero eigenvalue of the Laplacian of a graph

ex12.c: Compute all eigenvalues in an interval of a symmetric-definite problem

ex13.c: Generalized Symmetric eigenproblem

ex18.c: Solves the same problem as in ex5, but with a user-defined sorting criterion

ex19.c: Standard symmetric eigenproblem for the 3-D Laplacian built with the DM interface

ex24.c: Spectrum folding for a standard symmetric eigenproblem

ex25.c: Spectrum slicing on generalized symmetric eigenproblem

ex29.c: Solves the same problem as in ex5, with a user-defined stopping test

ex30.c: Illustrates the use of a region for filtering; the number of wanted eigenvalues in not known a priori

ex31.c: Power grid small signal stability analysis of WECC 9 bus system

ex34.c: Nonlinear inverse iteration for A(x)*x=lambda*B(x)*x

ex35.c: Shell spectral transformations with a non-injective mapping

ex36.c: Use the matrix exponential to compute rightmost eigenvalues

makefile