Kaihuang Chen

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20242026

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math.OC2026

GPU-Accelerated Preprocessing for Large-Scale Linear Programming

Kaihuang Chen, Jiawei Lu, Defeng Sun +4

GPU-accelerated first-order methods are increasingly effective for solving large-scale linear programs (LPs), yet LP preprocessing remains predominantly CPU-based and can become co…

math.OC2026

ADMM Fails to Achieve an $O (K^{- 1})$ Ergodic KKT Residual Bound

Kaihuang Chen, Defeng Sun, Yancheng Yuan +2

The Karush--Kuhn--Tucker (KKT) residual is a fundamental measure of first-order optimality and, under an error bound condition, is comparable to the distance to the KKT solution se…

GPU-Accelerated Preprocessing for Large-Scale Linear Programming

ADMM Fails to Achieve an O(K−1) Ergodic KKT Residual Bound

ADMM Fails to Achieve an $O (K^{- 1})$ Ergodic KKT Residual Bound