What Is Optimization Toolbox?

2 TutorialLarge-Scale Problem Coverage and Requirements (Continued)FunctionProblemFormulationsAdditionalInformationNeededFor Large ProblemslsqlinNoneshould be sparse.linprogsuch that where .is an m-by-n matrix wherei.e., the problem must beoverdetermined.None and should be sparse.such thatand,where .quadprog•such thatwhereNone • should be sparse.• should be sparse.•such that,andis an m-by-n matrixwhereIn the following examples, many of the M-file functions are available inOptimization Toolbox optim directory. Most of these do not have a fixedproblem size, i.e., the size of your starting point xstart determines the sizeproblem that is computed. If your computer system cannot handle the sizesuggested in the examples below, use a smaller-dimension start point to runtheproblems.Iftheproblemshaveupper or lower bounds or equalities, youmust adjust the size of those vectors or matrices as well.2-44