FSIPL is a feasibility-safeguarded inexact proximal linearized method for nonsmooth composite optimization on compact embedded submanifolds, with O(ε^{-2}) complexity, subsequential convergence, and full convergence under a KL assumption.
arXiv preprint arXiv:2505.02140 (2025)
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An Infeasible Method with Feasibility Safeguard for Nonsmooth Composite Optimization Over Manifolds
FSIPL is a feasibility-safeguarded inexact proximal linearized method for nonsmooth composite optimization on compact embedded submanifolds, with O(ε^{-2}) complexity, subsequential convergence, and full convergence under a KL assumption.