Nothing special is required for solving a GHEP with singular M, except for 
setting the problem type as GHEP, see 
https://slepc.upv.es/documentation/current/src/eps/tutorials/ex13.c.html
Jose


> El 16 ago 2020, a las 1:09, Nidish <n...@rice.edu> escribió:
> 
> Hello,
> 
> I'm presently working with a large finite element model with several RBE3 
> constraints with "virtual" 6DOF nodes in the model.
> 
> I have about ~36000 3DOF nodes making up my model and about ~10 RBE3 virtual 
> nodes (which have zero intrinsic mass and stiffness). I've extracted the 
> matrices from Abaqus.
> 
> The way these constraints are implemented is by introducing static linear 
> constraints (populating the stiffness matrix) and padding the mass matrix 
> with zero rows and columns in the rows corresponding to the virtual nodes. So 
> this leaves me with an eigenproblem of the form,
> 
> K.v = lam*M.v
> 
> where M is singular but the eigenproblem is well defined. Abaqus seems to 
> solve this perfectly well, but after exporting the matrices, I'm struggling 
> to get slepc to solve this. The manual talks about deflation, etc., but I 
> couldn't really understand too much.
> 
> Is there any example code for such a case with a singular matrix where these 
> procedures are carried out? Or could you provide references/guidances for 
> approaching the problem?
> 
> Thank you,
> Nidish

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