Author

M. Tao

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Preprint Sep 2026

Whole-Sequence Convergence of Variable-Smoothing Full-Splitting Methods via a Lifted Kurdyka-\L{}ojasiewicz Framework

We establish whole-sequence convergence of the primal iterates of the smoothing-based full-splitting proximal subgradient method (S-FSPS) of Bo\c{t}, Li, and Tao (SIAM J. Optim., 35 (2025), pp.~2623--2653) with a prescribed, nonsummable sequence of vanishing smoothing parameters. The challenge is that each iteration us...

M. Tao · 0 citations

Preprint Aug 2026

Counterexamples to Whole-Sequence Convergence of Variable-Smoothing Full-Splitting Methods

We study whole-sequence convergence of the smoothing-based full-splitting proximal subgradient method (S-FSPS) for structured nonconvex and nonsmooth fractional programs, introduced by Bo\c{t}, Li, and Tao (SIAM J. Optim., 35(4):2623--2653, 2025) as Algorithm~4.1. Existing theory guarantees only the existence of a subs...

M. Tao · 1 citation · ⚡1