Nonlinear constrained optimization using MATLAB's fmincon | @MATLABHelper Blog

Keywords: Optimization, optimization problem, optimization techniques, optimization calculus, optimization model, optimization explained, nonlinear optimization, constrained optimization, algorithm, Karush-Kuhn-Tucker conditions, sequential quadratic programming, Newton's method, optimal solution, MATLAB, equality constraints, inequality constraints, minimization, gradient, Hessian, constrained minimization, nonlinear programming, Lagrange function, active constraints, fmincon

00:00 Introduction
00:31 Constrained nonlinear optimization definition
01:06 Problem formulation
02:15 Optimality conditions
03:16 Newton's method
04:41 KKT conditions
06:20 Sequential quadratic programming
06:39 SQP algorithm – Equality constraints
07:57 SQP algorithm – Inequality constraints
10:26 MATLAB Implementation
12:21 Conclusion

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