> El 23 oct 2018, a las 16:10, Manav Bhatia <[email protected]> escribió:
>
> Thanks for the clarification.
>
> Does this also apply to the standard non-hermitian eigenvalue problem? Do I
> need to compile with complex numbers if I want to capture the complex
> eigenvalues? Or does it work with real number support?
No, linear eigenproblems (EPS) can be solved with real scalars for complex
eigenvalues, but nonlinear eigenproblems (NEP) cannot.
Jose
>
> Thanks
> Manav
>
> Sent from my iPhone
>
>> On Oct 23, 2018, at 3:43 AM, Jose E. Roman <[email protected]> wrote:
>>
>> If eigenvalues are complex then NLEIGS also needs to work in complex
>> arithmetic because it needs a region of the complex plane containing the
>> wanted eigenvalues. It seems that complex arithmetic is the only change in
>> your problem.
>>
>> Jose
>>
>>
>>> El 22 oct 2018, a las 22:01, Manav Bhatia <[email protected]> escribió:
>>>
>>> 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
>>>
>>> <PastedGraphic-1.pdf>
>>>
>>>
>>>> On Oct 22, 2018, at 2:40 PM, Jose E. Roman <[email protected]> wrote:
>>>>
>>>>
>>>>
>>>>> El 22 oct 2018, a las 21:05, Manav Bhatia <[email protected]>
>>>>> 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
>>>
>>
