Solve linear, quadratic, integer, and nonlinear optimization problems

Optimization Toolbox™ provides functions for finding parameters that minimize or maximize objectives while satisfying constraints. The toolbox includes solvers for linear programming, mixed-integer linear programming, quadratic programming, nonlinear optimization, and nonlinear least squares. You can use these solvers to find optimal solutions to continuous and discrete problems, perform tradeoff analyses, and incorporate optimization methods into algorithms and applications.


Defining and Solving Optimization Problems

Find a set of design parameters that give the best possible result.

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Nonlinear Optimization

Solve nonlinear programming problems in MATLAB.

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Linear and Quadratic Programming

Solve large-scale linear and quadratic programming problems

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Mixed-Integer Linear Programming

Solve mixed-integer linear programming problems.

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Multiobjective Optimization

Solve two formulations of multiobjective optimization problems.

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Nonlinear Least Squares, Data Fitting, and Nonlinear Equations

Solve linear and nonlinear least-squares problems, data fittingproblems, and nonlinear equations.

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Parallel Computing and Derivatives

Use gradient-based methods for minimizing or maximizing an objective.

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Product Resources

Discover more about Optimization Toolbox by exploring these resources.


Explore documentation for Optimization Toolbox functions and features, including release notes and examples.


Browse the list of available Optimization Toolbox functions.

System Requirements

View system requirements for the latest release of Optimization Toolbox.

Technical Articles

View articles that demonstrate technical advantages of using Optimization Toolbox.

User Stories

Read how Optimization Toolbox is accelerating research and development in your industry.

Community and Support

Find answers to questions and explore troubleshooting resources.

Try or Buy

There are many ways to start using Optimization Toolbox. Download a free trial, or explore pricing and licensing options.

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Optimization Toolbox requires: MATLAB

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