Explore QP Solvers and Quadratic Programming with Gurobi

A QP solver is a software tool designed to solve quadratic programming (QP) problems. These are mathematical optimization problems where the objective function is quadratic, and the constraints are linear. QP solvers play a critical role in industries like finance, energy, and engineering where precise, efficient optimization is essential. 

A QP solver uses numerical algorithms to find the optimal values of variables that minimize or maximize a quadratic objective function while satisfying a set of linear constraints. This often involves methods like interior-point or active-set algorithms. Gurobi’s solver is designed for high performance across large and complex QP problems. 

QP solvers are used for a wide variety of applications including portfolio optimization, machine learning (like SVMs), energy load balancing, and supply chain management. If the problem includes a quadratic cost function with linear restrictions, a QP solver is often the right tool. 

Gurobi’s QP solver is trusted by leading companies and research institutions for its robust performance, ease of integration, and fast solve times. It’s part of the Gurobi Optimizer, which supports linear, mixed-integer, and nonlinear models, offering a comprehensive optimization solution. 

Yes. Gurobi efficiently handles both convex and non-convex quadratic programs. While convex QP problems have a single global optimum, non-convex problems are more complex. Gurobi uses global optimization techniques to provide accurate solutions for non-convex QPs. 

Gurobi supports multiple model input formats including MPS, LP, Python APIs, and modeling frameworks such as JuMP, Pyomo, and AMPL. This allows seamless integration with existing workflows and modeling environments. 

You can get started by downloading a free academic license or requesting a commercial evaluation. Gurobi provides detailed documentation, tutorials, and community support to help users quickly become productive. 

Absolutely. Gurobi offers full support for cloud-based deployments via Gurobi Cloud and Bring Your Own License (BYOL) options. This enables scalable and secure QP solving without local infrastructure. 

Gurobi is known for state-of-the-art algorithms, multi-core parallelism, and cutting-edge presolve techniques, all of which contribute to faster and more reliable QP solving. Benchmark studies show significant speedups versus other solvers in the market. 

Yes. Gurobi supports embedding the solver into your own applications, with licensing options for OEMs and enterprise environments. This makes it ideal for custom software solutions requiring built-in optimization.