#krylov-methods

#krylov-methods

Our comparison of different frameworks reveals that NonlinearSolve.jl, by leveraging sparsity detection and colored sparse matrix algorithms, significantly outperforms existing solvers, notably with Jacobian construction.

In large-scale systems, the utilization of Krylov Methods such as GMRES, when paired with preconditioning techniques, proves significantly advantageous over traditional approaches, showcasing enhanced performance.