This paper describes a matrix-free Newton algorithm for DFT. The action of the Jacobian on the solution is calculated efficiently using FFT. This can be combined with a linear solver like GMRES that requires only the product of the Jacobian with the current x value.
Convergence could be improved, but as of right now it looks like we would need to implement the GMRES algorithm ourselves.
This paper describes a matrix-free Newton algorithm for DFT. The action of the Jacobian on the solution is calculated efficiently using FFT. This can be combined with a linear solver like GMRES that requires only the product of the Jacobian with the current x value.
Convergence could be improved, but as of right now it looks like we would need to implement the GMRES algorithm ourselves.