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Improvements to Deflation #2124

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@dpanici
  • Implement algorithms from Riley 2024
    • Implement deflated line-search Gauss-Newton algorithm like they use
    • Adapt their algorithm for our usual trust-region approach
  • add _equilibrium as attribute of DeflationOperator and test using it in proximal-lsq-exact
    • not sure how this will work, but maybe could be interesting to try out

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P2Medium Priority, not urgent but should be on the near-term agendaenhancementGeneral label for enhancement. Please also tag with "Speed", "Interface", "Functionality", etc

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