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This paper presents a Riemannian trust region algorithm for unconstrained optimization problems with locally Lipschitz objective functions defined on complete Riemannian manifolds. To this end we define a function $\Phi :TM\rightarrow \mathbb {R}$ on the tangent bundle $TM$, and at the $k$th iteration, using the restricted function $\Phi |_{T_{x_k}M}$, where $T_{x_k}M$ is the tangent space at $x_k...

Nonsmooth trust region algorithms for locally Lipschitz functions on Riemannian manifolds