PEPSolve#

Solves the polynomial eigensystem.

Synopsis#

#include "slepcpep.h" 
PetscErrorCode PEPSolve(PEP pep)

Collective

Input Parameter#

  • pep - the polynomial eigensolver context

Options Database Keys#

  • -pep_view - print information about the solver used

  • -pep_view_matk - view the coefficient matrix Ak (replace k by an integer from 0 to nmat-1)

  • -pep_view_vectors - view the computed eigenvectors

  • -pep_view_values - view the computed eigenvalues

  • -pep_converged_reason - print reason for convergence, and number of iterations

  • -pep_error_absolute - print absolute errors of each eigenpair

  • -pep_error_relative - print relative errors of each eigenpair

  • -pep_error_backward - print backward errors of each eigenpair

Notes#

All the command-line options listed above admit an optional argument specifying the viewer type and options. For instance, use ‘-pep_view_mat0 binary:amatrix.bin’ to save the A matrix to a binary file, ‘-pep_view_values draw’ to draw the computed eigenvalues graphically, or ‘-pep_error_relative :myerr.m:ascii_matlab’ to save the errors in a file that can be executed in Matlab.

See Also#

PEP: Polynomial Eigenvalue Problems, PEPCreate(), PEPSetUp(), PEPDestroy(), PEPSetTolerances()

Level#

beginner

Location#

src/pep/interface/pepsolve.c

Examples#

src/pep/tutorials/ex50.c
src/pep/tutorials/ex16f.F90
src/pep/tutorials/ex28.c
src/pep/tutorials/ex16.c
src/pep/tutorials/ex38.c
src/pep/tutorials/ex17.c
src/pep/tutorials/ex40.c

Implementations#

PEPSolve_CISS() in src/pep/impls/ciss/pciss.c
PEPSolve_JD() in src/pep/impls/jd/pjd.c
PEPSolve_QArnoldi() in src/pep/impls/krylov/qarnoldi/qarnoldi.c
PEPSolve_STOAR() in src/pep/impls/krylov/stoar/stoar.c
PEPSolve_TOAR() in src/pep/impls/krylov/toar/ptoar.c
PEPSolve_Linear() in src/pep/impls/linear/linear.c

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