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Ziqing Xie--Is normalized line search rule really suitable for finding multiple solutions of semilinear PDEs?
发布人:管理员LIU  发布时间:2016-07-19   浏览次数:511


Abstract: Inspired by the work in Zhou and Li (SISC , 2001,2002) and the line search rules in optimization theory in R^n aiming at the global convergence, in this talk we propose a modified Local Minimax Method(LMM) based on a normalized Goldstein line search rule to find multiple minimax-type solutions. The feasibility of our approach is provided and its corresponding convergence is proven. Finally, our approach is implemented to solve several typical semilinear elliptic boundary value problems on a square for multiple saddle points and the numerical results indicate that our approach is efficient.


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