What Is Optimization Toolbox?

What Is Optimization Toolbox? What Is Optimization Toolbox?

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5 Optimization ToolK1, K2, ..., Kntheta evaluated over an interval S at the point x. Specifythefunction as a function handle of the form @seminfcon, whereseminfcon.m isan M-file, or as an anonymous function. For a description of this M-file, seethe “Input Arguments” on page 8-93 section of the function reference page.Linear inequalities of the form A*x ≤ b are specified by the matrix A andthe vector b.Linear equalities of the form Aeq*x = beq are specified by the matrix Aeqand the vector beq.Bounds are lower and upper bounds on the variables, specified as vectors.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the fseminf function.fsolve Problem SetupAlgorithmSpecify whether you want to use large or medium-scale. Withinmedium scale there are three option choices: the trust-region dogleg, theLevenberg-Marquardt, or the Gauss-Newton algorithm. For more informationon the routines Optimization Toolbox uses for these choices, see “Medium- andLarge-Scale Algorithms” on page 2-7.5-18

Defining the ProblemLinear System of EquationsObjective function (required) is the function describing a system ofnonlinear equations you want to solve. Specify the function as a functionhandle of the form @objfun, whereobjfun.m is an M-file, or as an anonymousfunction. For a description of this M-file, see the “Input Arguments” on page8-108 section of the function reference page.Derivatives specifies if the Jacobian is supplied in the objective function or ifit should be approximated by the solver.Start point (required) is the initial point (vector) for the algorithm.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the fsolve function.fzero Problem SetupFunction to MinimizeEquation (required)isthefunctionwhosezeroistobecomputed. Specifythe function as a function handle of the form @objfun, whereobjfun.m is anM-file, or as an anonymous function. For a description of this M-file, see the“Input Arguments” on page 8-124 section of the function reference page.Interval containing zero of equation has two options. You must eitherenter your own interval using the fields X1 and X2 or specify a point X toenable the algorithm to find an interval containing that point for you. Toenter your own, select Specify interval [X1, X2] and enter the values for5-19

5 <strong>Optimization</strong> ToolK1, K2, ..., Kntheta evaluated over an interval S at the point x. Specifythefunction as a function handle of the form @seminfcon, whereseminfcon.m isan M-file, or as an anonymous function. For a description of this M-file, seethe “Input Arguments” on page 8-93 section of the function reference page.Linear inequalities of the form A*x ≤ b are specified by the matrix A andthe vector b.Linear equalities of the form Aeq*x = beq are specified by the matrix Aeqand the vector beq.Bounds are lower and upper bounds on the variables, specified as vectors.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the fseminf function.fsolve Problem SetupAlgorithmSpecify whether you want to use large or medium-scale. Withinmedium scale there are three option choices: the trust-region dogleg, theLevenberg-Marquardt, or the Gauss-Newton algorithm. For more informationon the routines <strong>Optimization</strong> <strong>Toolbox</strong> uses for these choices, see “Medium- andLarge-Scale Algorithms” on page 2-7.5-18

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