[petsc-users] Slepc: Nonlinear eigenvalue problem

[Manav Bhatia]

Thanks, Jose. 

How difficult would it be to add the support for the general case (if at all possible)? 

My eigenvalue problem is of the form shown in the attachment. Beta is the eigenvalue and X_s^\Delta is the eigenvector. While some of the matrices are known, others are defined only as matrix vector products. 

I am interested in eigenvalues with the largest real part. I expect to find complex eigenvalues, although for a small subset of cases these will be real. 

What is your recommendation for attacking this problem with the nonlinear eigenvalue support in Slepc? 

Would appreciate your guidance. 

Regards,
Manav



> On Oct 22, 2018, at 2:40 PM, Jose E. Roman <jroman at dsic.upv.es> wrote:
> 
> 
> 
>> El 22 oct 2018, a las 21:05, Manav Bhatia <bhatiamanav at gmail.com> escribió:
>> 
>> Hi, 
>> 
>>  I am exploring the nonlinear eigenvalue problem solver in Slepc. 
>> 
>>  From the notes in "Sec 6.4: Retrieving the Solution”, it appears that if I expect to find complex eigenpairs then I must compile the library (and Petsc) with complex scalars. Is that correct? 
>> 
>>  Is there a way to include support for complex eigenpairs in a library complied with real scalars? 
>> 
>> Regards,
>> Manav
>> 
>> 
> 
> Currently, the only combination that supports complex eigenpairs with real scalars is the split form for the nonlinear function with the NLEIGS solver.
> 
> Jose

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