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math.OC2017
A Self-Correcting Variable-Metric Algorithm Framework for Nonsmooth Optimization
Frank E. Curtis, Daniel P. Robinson, Baoyu Zhou
An algorithm framework is proposed for minimizing nonsmooth functions. The framework is variable-metric in that, in each iteration, a step is computed using a symmetric positive de…
math.OC2017
An Inexact Regularized Newton Framework with a Worst-Case Iteration Complexity of for Nonconvex Optimization
Frank E. Curtis, Daniel P. Robinson, Mohammadreza Samadi
An algorithm for solving smooth nonconvex optimization problems is proposed that, in the worst-case, takes iterations to drive the norm of the gradient of t…