Use the Symbolic Math Toolbox™ functions jacobian and matlabFunction to provide analytical derivatives to optimization solvers. Optimization Toolbox™ solvers are usually more accurate and efficient when you supply gradients and Hessians of the objective and constraint functions.

Demonstrates that the Symbolic Math Toolbox™ helps minimize errors when solving a nonlinear system of equations.

Find parameterized analytical expressions for the displacement of a joint of a trivial cantilever truss structure in both the static and frequency domains. The analytical expression for the static case is exact. The expression for the frequency response function is an approximate reduced-order version of the actual frequency response.

Create a custom equation based components for the Simscape Library using the Symbolic Math Toolbox™.

Uses Simulink Design Optimization™ to estimate the unknown capacitance and initial voltage of a symbolically derived algebraic model of a simple resistor-capacitor (RC) circuit. The example solves the same problem and uses the same experimental data as Estimate Model Parameters and Initial States, but uses the closed-form solution for the RC circuit instead of the differential form.