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math.OC2026
A frugal primal-dual splitting with minimal lifting over arbitrary rooted trees
Feng Xue, Hui Zhang
We develop a frugal primal-dual splitting with minimal lifting for solving structured monotone inclusions, involving cocoercive operators, linear compositions and parallel sums. Th…
math.OC2025
Subspace decomposition in regularized least-squares: solution properties, restricted coercivity and beyond
Feng Xue, Hui Zhang
We investigate the solution properties of the regularized least-squares problem. Using a subspace decomposition technique, we derive expressions for the solution set in terms of th…
math.OC2024
On degenerate preconditioned proximal point methods under restricted monotonicity
Feng Xue, Hui Zhang
This work investigates the fundamental properties of the degenerate preconditioned resolvent under restricted monotonicity. We extend key notions of non-expansiveness and demiclose…