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Nonlinear Krylov subspace methods for solving nonsmooth equations
Authors:Meng Ze-hong  Zhang Jian-jun
Institution:Department of Mathematics, Shanghai University, Shanghai 200444, P.R.China
Abstract:Newton-FOM (Full Orthogonalization Method) algorithm and Newton-GMRES (Generalized Minimum Residual Method) algorithm for solving nonsmooth equations are presented. It is proved that these Krylov subspace algorithms have the locally quadratic convergence.Numerical experiments demonstrate the effectiveness of the algorithms.
Keywords:nonsmooth equations  Newton-FOM algorithm  Newton-GMRES algorithm
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