Everything about Quadratically constrained quadratic program

🧭 Start here: a 6-step reading path

1. Read the overview: Quadratically constrained quadratic programA 5-minute orientation
2. Skim a recent paper: Harmonic Noise Rejection Zeroing Neural Network for Time-Dependent Equality-Constrained Quadratic Program and Its Application to Robot ArmsInfluential work since 2022
3. Pick up a classic book: Discovery ScienceThe most-reprinted book on the subject
4. Read the landmark paper: Consensus-ADMM for General Quadratically Constrained Quadratic ProgrammingCited 215 times
5. Go sideways: Second-order cone programmingA closely related topic
6. Go sideways: Semidefinite programmingA closely related topic

🏆 Landmark papers (most cited)

• Consensus-ADMM for General Quadratically Constrained Quadratic Programming

  Kejun Huang, Nicholas D. Sidiropoulos · 2016 · IEEE Transactions on Signal Processing · 215 citations

• Semidefinite relaxations for quadratically constrained quadratic programming: A review and comparisons

  Xiaowei Bao, Nikolaos V. Sahinidis, Mohit Tawarmalani · 2011 · Mathematical Programming · 119 citations

• Hidden convexity in some nonconvex quadratically constrained quadratic programming

  Aharon Ben-Tal, Marc Teboulle · 1996 · Mathematical Programming · 101 citations

• On convex relaxations for quadratically constrained quadratic programming

  Kurt M. Anstreicher · 2012 · Mathematical Programming · 90 citations

• A relaxation method for nonconvex quadratically constrained quadratic programs

  Faiz A. Al-Khayyal, Christian Larsen, Timothy Van Voorhis · 1995 · Journal of Global Optimization · 84 citations

• Multiterm polyhedral relaxations for nonconvex, quadratically constrained quadratic programs

  Xiaowei Bao, Nikolaos V. Sahinidis, Mohit Tawarmalani · 2009 · Optimization Methods and Software · 74 citations

• Dynamic Economic Dispatch Considering Transmission Losses Using Quadratically Constrained Quadratic Program Method

  Haiwang Zhong, Qing Xia, Yang Wang · 2013 · IEEE Transactions on Power Systems · 61 citations

• A Sequential Quadratically Constrained Quadratic Programming Method for Differentiable Convex Minimization

  Masao Fukushima, Zhi-Quan Luo, Paul Tseng · 2003 · SIAM Journal on Optimization · 54 citations

🆕 Influential since 2022

• Harmonic Noise Rejection Zeroing Neural Network for Time-Dependent Equality-Constrained Quadratic Program and Its Application to Robot Arms

  Dongsheng Guo, Chan Zhang, Naimeng Cang · 2025 · IEEE Transactions on Industrial Informatics · 26 citations

• MGRNN for dynamic constrained quadratic programming with verification and applications

  Songjie Huang, Guancheng Wang, Xiuchun Xiao · 2026 · Expert Systems with Applications · 16 citations

• Operational optimization of a 4th generation district heating network with mixed integer quadratically constrained programming

  Dominik Hering, Michael R. Faller, André Xhonneux · 2022 · Energy · 15 citations

• Solving Combined Optimal Transmission Switching and Optimal Power Flow sequentially as convexificated Quadratically Constrained Quadratic Program

  Thomas Leveringhaus, Leonard Kluß, Iwo Bekker · 2022 · Electric Power Systems Research · 14 citations

• A fast global algorithm for singly linearly constrained separable binary quadratic program with partially identical parameters

  Cheng Lu, Junhao Wu, Zhibin Deng · 2022 · Optimization Letters · 11 citations

📚 Books worth reading

• Discovery ScienceJean-Gabriel Ganascia · 2012
• 📕Nonlinear programmingPeter Zörnig · 2014
• The generalized inverse dual for quadratically constrained quadratic programsWilliam David Randolph · 1974
• Mathematical programming for agricultural, environmental, and resource economicsHarry Mason Kaiser · 2010
• Fundamental Engineering Optimization MethodsFun Kamran Iqbal · 2013
• Fundamental Engineering Optimization MethodsKamran Iqbal · 2013
• 📕Pseudolinear functions and optimizationShashi Kant Mishra · 2015

Ranked by number of editions on Open Library, a rough measure of how lasting a book is.

🔗 Related topics

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• Semidefinite programming Semidefinite programming (SDP) is a subfield of mathematical programming concerned with the optimization of a linear objective function (a user-specified…
• Sum-of-squares optimization A sum-of-squares optimization program is an optimization problem with a linear cost function and constraints that certain polynomials constructed from…
• Quadratic programming Quadratic programming (QP) is the process of solving certain mathematical optimization problems involving quadratic functions. Specifically, one seeks…
• Convex optimization Convex optimization is a subfield of mathematical optimization that studies the problem of minimizing convex functions over convex sets (or, equivalently…
• Mathematical optimization Mathematical optimization (alternatively spelled optimisation) or mathematical programming is the selection of a best element, with regard to some criteria…
• Linear matrix inequality In convex optimization, a linear matrix inequality (LMI) is an expression of the form LMI ⁡ ( y ) := A 0 + y 1 A 1 + y 2 A 2 + ⋯ + y m A m ⪰ 0 {\displaystyle…
• Interior-point method Interior-point methods (also referred to as barrier methods or IPMs) are algorithms for solving linear and non-linear convex optimization problems. IPMs…