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A note about the complexity of minimizing Nesterov's smooth Chebyshev–Rosenbrock function

A note about the complexity of minimizing Nesterov's smooth Chebyshev–Rosenbrock function

Abstract This short note considers and resolves the apparent contradiction between known worst-case complexity results for first- and second-order methods for solving unconstrained smooth nonconvex optimization problems and a recent note by Jarre [On Nesterov's smooth Chebyshev–Rosenbrock function, Optim. Methods Softw. (2011)] implying a very large lower bound on the …