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arXiv · 2508.15951

A User Manual for cuHALLaR: A GPU Accelerated Low-Rank Semidefinite Programming Solver

Jacob Aguirre·Diego Cifuentes·Vincent Guigues·Renato D. C. Monteiro·Victor Hugo Nascimento·Arnesh Sujanani
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Abstract

We present a Julia-based interface to the precompiled HALLaR and cuHALLaR binaries for large-scale semidefinite programs (SDPs). Both solvers are established as fast and numerically stable, and accept problem data in formats compatible with SDPA and a new enhanced data format taking advantage of Hybrid Sparse Low-Rank (HSLR) structure. The interface allows users to load custom data files, configure solver options, and execute experiments directly from Julia. A collection of example problems is included, including the SDP relaxations of the Matrix Completion and Maximum Stable Set problems.

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Jacob Aguirre, Diego Cifuentes, Vincent Guigues, Renato D. C. Monteiro, Victor Hugo Nascimento, Arnesh Sujanani. 2025-08-21. A User Manual for cuHALLaR: A GPU Accelerated Low-Rank Semidefinite Programming Solver. https://arxiv.org/abs/2508.15951

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