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Line Search Methods for Unconstrained Optimisation
people.maths.ox.ac.ukTheorem 4 (Global Convergence of More General Descent Di-rection Methods). Let the gradient g of f ∈ C1 be uniformly Lipschitz continuous on Rn. Then, for the iterates generated by the Generic LSM with B-A steps and search directions defined by Bkpk = −gk, one of the following situations occurs, i) gk = 0 for some finite k, ii) limk→∞ ...