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There is now a CONTENT FREEZE for Mercury while we switch to a new platform. It began on Friday, March 10 at 6pm and will end on Wednesday, March 15 at noon. No new content can be created during this time, but all material in the system as of the beginning of the freeze will be migrated to the new platform, including users and groups. Functionally the new site is identical to the old one. webteam@gatech.edu
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In this talk we consider different strategies for regularization of the pure Newton method as applied to unconstrained minimization problems.
For these schemes we prove general convergence results. We establish also the global and local worst-case complexity bounds. It is shown that the corresponding search directions can be computed by a standard linear algebra technique. We discuss also a possibility to accelerate the scheme on the convex problems.