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Author

Haihao Lu

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Preprint Sep 2026

PDNQP: A GPU-based Factorization-free Method for Large-scale Nonconvex Quadratic Programming

PDNQP is presented, a factorization-free first-order solver for finding stationary points of large-scale nonconvex quadratic programs and its key ingredients are a residual-form reformulation that avoids penalty-dependent normal matrices and preserves a fixed sparse constraint operator across outer iterations, and an a...

Zi-Xi Chen, Hai-Hao Lu · 0 citations
Preprint Aug 2026

On the Local Linear Convergence of Operator Splitting Methods for Conic Programming

It is shown that strict complementarity, together with a quadratic facial-violation property of the associated complementary faces, implies uniform quadratic growth of both the primal and dual augmented Lagrangians near a strictly complementary solution, and the local equivalence of three regularity conditions is prove...

L. Ding, Hai-Hao Lu, Jin-Wen Yang · 1 citation

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