You can verify there is a generalization of the inertia theorem thanks to
Ikramov. Furthermore, recall the inertia theorem is about eigenvalues; for
a Hermitian matrix, you can diagonalize it in a form that has real entries,
and that preserves the eigenvalues.
Of course, being able to apply the
Unfortunately MUMPS does not return inertia with complex matrices, it seems
that it is not implemented. See the note "Usage with Complex Scalars" in
section 3.4.5 of SLEPc users manual.
You could use multi-communicators with as many partitions as MPI processes, so
that each process performs a
Hello,
I am trying to diagonalize a hermitian matrix using the Eigen Problem
Solver in SLEPc, I run into errors on calls to MatGetInertia() with complex
hermitian matrices that I did not see with real matrices. The complex and
real versions were done with separate PETSC_ARCH. I do not know if the
