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NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS

NONLINEAR KRYLOV SUBSPACE METHODS FOR SOLVING NONSMOOTH EQUATIONS
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摘要 Newton-FOM (Full Orthogonalization Method ) algorithm and NewtonGMRES (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. Newton-FOM (Full Orthogonalization Method ) algorithm and NewtonGMRES (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.
出处 《Applied Mathematics and Mechanics(English Edition)》 SCIE EI 2005年第9期1172-1180,共9页 应用数学和力学(英文版)
基金 ProjectsupportedbytheShanghaiMunicipalDevelopmentFoundationofInstitutesofHigherEd-ucation(No.214348)
关键词 nonsmooth equations Newton-FOM algorithm Newton-GMRES algorithm nonsmooth equations Newton-FOM algorithm Newton-GMRES algorithm
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