EPSSetProblemType#

Specifies the type of the eigenvalue problem.

Synopsis#

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

Logically Collective

Input Parameters#

  • eps - the 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().

See Also#

EPSSetOperators(), EPSSetType(), EPSGetProblemType(), EPSProblemType

Level#

intermediate

Location#

src/eps/interface/epsopts.c

Examples#

src/eps/tutorials/ex36.c
src/eps/tutorials/ex2.c
src/eps/tutorials/ex18.c
src/eps/tutorials/ex9.c
src/eps/tutorials/ex1f.F90
src/eps/tutorials/ex29.c
src/eps/tutorials/ex6f.F90
src/eps/tutorials/ex3.c
src/eps/tutorials/ex55.c
src/eps/tutorials/ex31.c

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