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二次规划 (QP)

二次规划 (QP) 是一类约束数学优化问题,其目标函数为二次函数,约束条件为线性函数。QP 由 Frank 和 Wolfe (1956) 通过其基于梯度的可行方向算法正式化,在运筹学、金融学、机器学习和工程设计等领域中,凡是需要在线性可行性条件下最小化凸(或非凸)二次成本时,QP 都扮演着基础性的角色。

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二次规划 (QP)
凸优化线性规划

来源

  1. Frank, M., & Wolfe, P. (1956). An algorithm for quadratic programming. Naval Research Logistics Quarterly, 3(1–2), 95–110. DOI: 10.1002/nav.3800030109

如何引用本页

ScholarGate. (2026, June 2). Quadratic Programming (QP). ScholarGate. https://scholargate.app/zh/optimization/quadratic-programming

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ScholarGateQuadratic Programming (Quadratic Programming (QP)). 于 2026-06-15 检索自 https://scholargate.app/zh/optimization/quadratic-programming · 数据集: https://doi.org/10.5281/zenodo.20539026