EPSSetProblemType#

Specifies the type of the eigenvalue problem.

Synopsis#

#include "slepceps.h" 
PetscErrorCode EPSSetProblemType(EPS eps,EPSProblemType type)

Logically Collective

Input Parameters#

eps - the linear eigensolver context
type - a known type of eigenvalue problem

Options Database Keys#

-eps_hermitian - Hermitian eigenvalue problem
-eps_gen_hermitian - generalized Hermitian eigenvalue problem
-eps_non_hermitian - non-Hermitian eigenvalue problem
-eps_gen_non_hermitian - generalized non-Hermitian eigenvalue problem
-eps_pos_gen_non_hermitian - generalized non-Hermitian eigenvalue problem with positive semi-definite B
-eps_gen_indefinite - generalized Hermitian-indefinite eigenvalue problem
-eps_bse - structured Bethe-Salpeter eigenvalue problem
-eps_hamiltonian - structured Hamiltonian eigenvalue problem

Notes#

This function must be used to instruct SLEPc to exploit symmetry or other kind of structure. If no problem type is specified, by default a non-Hermitian problem is assumed (either standard or generalized). If the user knows that the problem is Hermitian (i.e. A=A^H) or generalized Hermitian (i.e. A=A^H, B=B^H, and B positive definite) then it is recommended to set the problem type so that eigensolver can exploit these properties.

If the user does not call this function, the solver will use a reasonable guess.

For structured problem types such as EPS_BSE, the matrices passed in via EPSSetOperators() must have been created with the corresponding helper function, i.e., MatCreateBSE().