What Is Optimization Toolbox?
What Is Optimization Toolbox? What Is Optimization Toolbox?
5 Optimization ToolStart PointStart point is the initial point (vector) for the algorithm. You can select Letalgorithm choose point orsetyourownstartpoint.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the lsqnonneg function.quadprog Problem SetupAlgorithmSpecify whether you want to use large or medium scale. For more informationon the routines Optimization Toolbox uses for these choices, see “Medium- andLarge-Scale Algorithms” on page 2-7.Function to MinimizeEnter matrix H (required) and vector f (required) to minimize 1/2*x'*H*x +f’*x subject to the constraints specified.5-26
Defining the ProblemConstraintsWith the medium-scale algorithm selected, the Linear inequalities of theform A*x ≤ b are specified by the matrix A and the 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.Start PointStart point is the initial point (vector) for the algorithm. You can select Letalgorithm choose point orsetyourownstartpoint.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the quadprog function.5-27
- Page 175 and 176: Selected BibliographySelected Bibli
- Page 177 and 178: Selected Bibliography[24] Han, S.P.
- Page 179 and 180: 4Large-Scale AlgorithmsLarge-Scale
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- Page 185 and 186: Preconditioned Conjugate GradientsP
- Page 187 and 188: Linearly Constrained ProblemsLinear
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- Page 193 and 194: Large-Scale Linear ProgrammingLarge
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- Page 199 and 200: Selected Bibliography[11] Zhang, Y.
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- Page 203 and 204: Getting Started with the Optimizati
- Page 205 and 206: Selecting a SolverSelecting a Solve
- Page 207 and 208: Defining the ProblemDefining the Pr
- Page 209 and 210: Defining the ProblemFunction to Min
- Page 211 and 212: Defining the ProblemConstraintsLine
- Page 213 and 214: Defining the ProblemM-file, or as a
- Page 215 and 216: Defining the ProblemBounds are lowe
- Page 217 and 218: Defining the Problemfseminf Problem
- Page 219 and 220: Defining the ProblemLinear System o
- Page 221 and 222: Defining the ProblemFunction to Min
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- Page 225: Defining the ProblemFunction to Min
- Page 229 and 230: Running a Problem in the Optimizati
- Page 231 and 232: Specifying the Options• Xtoleranc
- Page 233 and 234: Specifying the Optionsoption to a d
- Page 235 and 236: Specifying the OptionsThe following
- Page 237 and 238: Specifying the OptionsMultiobjectiv
- Page 239 and 240: Specifying the OptionsPlot Function
- Page 241 and 242: Specifying the Options• final —
- Page 243 and 244: Importing and Exporting Your WorkIm
- Page 245 and 246: Importing and Exporting Your WorkYo
- Page 247 and 248: Optimization Tool ExamplesOptimizat
- Page 249 and 250: Optimization Tool Examples6 In the
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- Page 257 and 258: Function ArgumentsInput Arguments (
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Defining the ProblemConstraintsWith the medium-scale algorithm selected, the Linear inequalities of theform A*x ≤ b are specified by the matrix A and the 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.Start PointStart point is the initial point (vector) for the algorithm. You can select Letalgorithm choose point orsetyourownstartpoint.Function EquivalentFor the function that corresponds to this solver and more information on theproblem definition, see the quadprog function.5-27
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