GMRES, or Generalized Minimal Residual method, is an iterative algorithm used for solving large systems of linear equations, particularly those that arise from numerical simulations and finite element methods. This method aims to minimize the residual norm over a Krylov subspace, which makes it particularly effective for non-symmetric or ill-conditioned matrices. The connection to preconditioning techniques enhances its performance, allowing GMRES to converge more rapidly on complex problems commonly encountered in computational mathematics.
congrats on reading the definition of gmres. now let's actually learn it.