A hybrid proximal-gradient/semismooth-Newton method is proven to converge globally and superlinearly for composite optimization with prox-regular nonconvex nonsmooth terms.
Bhatia , Matrix analysis , vol
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A Globalized Semismooth Newton Method for Prox-regular Optimization Problems
A hybrid proximal-gradient/semismooth-Newton method is proven to converge globally and superlinearly for composite optimization with prox-regular nonconvex nonsmooth terms.