What Is Optimization Toolbox?

Examples That Use Standard AlgorithmsExamples That Use Standard Algorithms• “Introduction” on page 2-9• “Unconstrained Minimization Example” on page 2-10• “Nonlinear Inequality Constrained Example” on page 2-12• “Constrained Example with Bounds” on page 2-13• “Constrained Example with Gradients” on page 2-15• “Gradient Check: Analytic Versus Numeric” on page 2-17• “Equality Constrained Example” on page 2-18• “Maximization” on page 2-19• “Greater-Than-Zero Constraints” on page 2-19• “Avoiding Global Variables via Anonymous and Nested Functions” on page2-20• “Nonlinear Equations with Analytic Jacobian” on page 2-22• “Nonlinear Equations with Finite-Difference Jacobian” on page 2-25• “Multiobjective Examples” on page 2-26IntroductionThis section presents the medium-scale (i.e., standard) algorithms througha tutorial. Examples similar to those in the first part of this tutorial(“Unconstrained Minimization Example” on page 2-10 through the “EqualityConstrained Example” on page 2-18) can also be found in the tutorialwalk-through demo, tutdemo. (From the MATLAB Help browser or theMathWorks Web site documentation, you can click the demo name to displaythe demo.)Note Medium-scale is not a standard term and is used to differentiatethese algorithms from the large-scale algorithms described in Chapter 4,“Large-Scale Algorithms”.2-9