petsc-3.10.5 2019-03-28
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# KSPComputeEigenvaluesExplicitly

Computes all of the eigenvalues of the preconditioned operator using LAPACK.

### Synopsis

    #include "petscksp.h"
    PetscErrorCode  KSPComputeEigenvaluesExplicitly(KSP ksp,PetscInt nmax,PetscReal r[],PetscReal c[])

Collective on KSP

### Input Parameter

| ksp | - iterative context obtained from KSPCreate()
| n | - size of arrays r and c

### Output Parameters

| r | - real part of computed eigenvalues, provided by user with a dimension at least of n
| c | - complex part of computed eigenvalues, provided by user with a dimension at least of n

### Notes

This approach is very slow but will generally provide accurate eigenvalue estimates. This routine explicitly forms a dense matrix representing the preconditioned operator, and thus will run only for relatively small problems, say n < 500.

Many users may just want to use the monitoring routine KSPMonitorSingularValue() (which can be set with option -ksp_monitor_singular_value) to print the singular values at each iteration of the linear solve.

The preconditoner operator, rhs vector, solution vectors should be set before this routine is called. i.e use KSPSetOperators(),KSPSolve() or KSPSetOperators()

### Keywords

KSP, compute, eigenvalues, explicitly

### See Also

KSPComputeEigenvalues(), KSPMonitorSingularValue(), KSPComputeExtremeSingularValues(), KSPSetOperators(), KSPSolve()

### Level

advanced

### Location

src/ksp/ksp/interface/eige.c
Index of all KSP routines
Table of Contents for all manual pages
Index of all manual pages