slepc-3.19.2 2023-09-05
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# PEPGetEigenpair

Gets the i-th solution of the eigenproblem as computed by PEPSolve(). The solution consists in both the eigenvalue and the eigenvector.

### Synopsis

    #include "slepcpep.h"
    PetscErrorCode PEPGetEigenpair(PEP pep,PetscInt i,PetscScalar *eigr,PetscScalar *eigi,Vec Vr,Vec Vi)

Collective

### Input Parameters

| pep | - polynomial eigensolver context
| i | - index of the solution

### Output Parameters

| eigr | - real part of eigenvalue
| eigi | - imaginary part of eigenvalue
| Vr | - real part of eigenvector
| Vi | - imaginary part of eigenvector

### Notes

It is allowed to pass NULL for Vr and Vi, if the eigenvector is not required. Otherwise, the caller must provide valid Vec objects, i.e., they must be created by the calling program with e.g. MatCreateVecs().

If the eigenvalue is real, then eigi and Vi are set to zero. If PETSc is configured with complex scalars the eigenvalue is stored directly in eigr (eigi is set to zero) and the eigenvector in Vr (Vi is set to zero). In any case, the user can pass NULL in Vr or Vi if one of them is not required.

The index i should be a value between 0 and nconv-1 (see PEPGetConverged()). Eigenpairs are indexed according to the ordering criterion established with PEPSetWhichEigenpairs().

### See Also

PEPSolve(), PEPGetConverged(), PEPSetWhichEigenpairs()

### Level

beginner

### Location

src/pep/interface/pepsolve.c

### Examples

src/pep/tutorials/ex16.c
src/pep/tutorials/ex40.c
Index of all PEP routines
Table of Contents for all manual pages
Index of all manual pages