MATLAB Code Implementation for Solving Nonlinear Equations

To solve nonlinear equations, you can utilize MATLAB's fmincon function. The function call syntax is: x = fmincon(fun, x0, A, b, Aeq, beq, VLB, VUB).

When calling this function, the following parameters must be provided:

- fun: A function handle specifying the nonlinear objective function to optimize. The function should accept an input vector and return a scalar value representing the objective function evaluation at that point.

- x0: A vector specifying the starting point for the optimization process. The algorithm uses this initial guess to begin searching for the optimal solution.

- A, b: Matrix and vector specifying linear inequality constraints in the form A*x ≤ b. These constraints define the feasible region for the optimization problem.

- Aeq, beq: Matrix and vector specifying linear equality constraints in the form Aeq*x = beq. These must be satisfied exactly by the solution.

- VLB, VUB: Vectors specifying the lower and upper bounds (VLB ≤ x ≤ VUB) for the variables. These bound constraints limit the search space for the optimization algorithm.

Using the fmincon function provides a convenient way to solve nonlinear equations in MATLAB, employing advanced optimization algorithms like interior-point methods or sequential quadratic programming to find solutions that satisfy all specified constraints.