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Write Objective Function

Define the function to minimize or maximize, representing your problem objective

How to express the objective for various problem types.

checkGradients Check first derivative function against finite-difference approximation (Since R2023b)

Types of Objective Functions
Find the appropriate form for your objective function.
Complex Numbers in Optimization Toolbox Solvers
Describes which solvers can handle complex numbers.
Writing Scalar Objective Functions
How to write objective functions for scalar nonlinear problems.
Checking Validity of Gradients or Jacobians
Check whether a derivative function matches finite difference estimates.
Writing Vector and Matrix Objective Functions
How to write objective functions for nonlinear least squares or systems of nonlinear equations.
Writing Objective Functions for Linear or Quadratic Problems
How to write objective functions for linear programming, integer linear programming, quadratic programming, or linear least squares.
Objective and Nonlinear Constraints in the Same Function
Save function evaluations, typically useful in simulations.
Maximizing an Objective
How to optimize for a maximum instead of a minimum.

Passing Extra Parameters
Including extra parameters or data in your objective or nonlinear constraint functions.