Both ode/vanderpol.py and poisson2d/poisson2d.py use shell matrices via a 
mult(self,mat,X,Y) function defined in the python side. Another example is 
ex3.py in slepc4py.

Jose



> El 13 mar 2023, a las 15:58, Eric Hester via petsc-users 
> <[email protected]> escribió:
> 
> Hello everyone,
> 
> Does petsc4py support matrix-free iterative solvers (as for Matrix-Free 
> matrices in petsc)?
> 
> For context, I have a distributed matrix problem to solve. It comes from a 
> Fourier-Chebyshev Galerkin discretisation. The corresponding matrix is dense, 
> but it is fast to evaluate using fftw. It is also distributed in memory.
> 
> While I’ve found some petsc4py tutorial examples in 
> "/petsc/src/binding/petsc4py/demo/“, they don’t seem to show a matrix free 
> example. And I don’t see a reference to a matrix shell create method in the 
> petsc4py api.
> 
> If petsc4py does support matrix free iterative solvers, it would be really 
> helpful if someone could provide even a toy example of that. Serial would 
> work, though a parallelised one would be better.
> 
> Thanks,
> Eric
> 
> 

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