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Tag: Optimization and Variational Analysis

  • Local Lipschitz regularity proved for minimizers of certain functionals

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    What the study found The authors prove local Lipschitz regularity for minimizers of a class of functionals, meaning the minimizers have locally bounded slopes. They also show, as a byproduct, that a locally Lipschitz minimizer exists for a related class of functionals in which the function f may be nonconvex. Why the authors say this…

  • Hybrid PRP-MMR method is globally convergent under exact line search

    Hybrid PRP-MMR method is globally convergent under exact line search

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    What the study found A new hybrid conjugate gradient method was proposed for unconstrained optimization and was reported to be globally convergent under exact line search. Why the authors say this matters The authors state that conjugate gradient methods are important for unconstrained optimization, especially for large-scale problems, and the findings indicate the new hybrid…