Author

Haihao Lu

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Preprint Sep 2026

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

Large-scale nonconvex quadratic programming remains challenging because the sparse matrix factorizations used by many existing solvers can incur substantial computational and memory costs and are difficult to parallelize efficiently on GPUs. We present PDNQP, a factorization-free first-order solver for finding stationa...

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