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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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The optimization of structures, uncertainty quantification, and the solution of inverse problems typically require the solution of many linear systems, some with the same matrix (multiple right hand sides) and some with nearby or slowly changing matrices. We discuss a number of approaches to solve such systems approximately at very low cost using model reduction and stochastic approaches.