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 <bhatiama...@gmail.com> 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 <jro...@dsic.upv.es> wrote: >> >> >> >>> El 22 oct 2018, a las 21:05, Manav Bhatia <bhatiama...@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 >
