What Is Optimization Toolbox?
What Is Optimization Toolbox? What Is Optimization Toolbox?
fgoalattainnonlconThe function that computes the nonlinear inequalityconstraints c(x)
fgoalattainfunction [c,ceq,GC,GCeq] = mycon(x)c = ...% Nonlinear inequalities at xceq = ...% Nonlinear equalities at xif nargout > 2 % Nonlcon called with 4 outputsGC = ...% Gradients of the inequalitiesGCeq = ... % Gradients of the equalitiesendIf nonlcon returns a vector c of m components and x haslength n, wheren is the length of x0, then the gradient GCof c(x) is an n-by-m matrix, where GC(i,j) is the partialderivative of c(j) with respect to x(i) (i.e., the jth columnof GC is the gradient of the jth inequality constraintc(j)). Likewise, if ceq has p components, the gradientGCeq of ceq(x) is an n-by-p matrix, where GCeq(i,j) isthe partial derivative of ceq(j) with respect to x(i) (i.e.,the jth column of GCeq is the gradient of the jth equalityconstraint ceq(j)).Note Because the functions in Optimization Toolbox onlyaccept inputs of type double, user-supplied objective andnonlinear constraint functions must return outputs of typedouble.options“Avoiding Global Variables viaAnonymousandNestedFunctions” on page 2-20 explains how to parameterize thenonlinear constraint function nonlcon, if necessary.“Options” on page 8-20 provides the function-specificdetails for the options values.8-17
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- Page 287 and 288: intprogx = bintprog(f,A,b,Aeq,Beq,x
- Page 289 and 290: intprogBranchStrategyStrategy the a
- Page 291 and 292: intprog• Verifies that no better
- Page 293 and 294: intprogExampleTo minimize the funct
- Page 295 and 296: colorPurposeSyntaxDescriptionColumn
- Page 297 and 298: fgoalattainx = fgoalattain(fun,x0,g
- Page 299: fgoalattainfunThefunctiontobeminimi
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- Page 305 and 306: fgoalattainFunValCheckGoalsExactAch
- Page 307 and 308: fgoalattainExamplesConsider a linea
- Page 309 and 310: fgoalattainof overattainment is met
- Page 311 and 312: fgoalattainLimitationsReferencesThe
- Page 313 and 314: fminbndInputArguments“Function Ar
- Page 315 and 316: fminbndPlotFcnsPlots various measur
- Page 317 and 318: fminbndLimitationsReferencesThe fun
- Page 319 and 320: fminconx = fmincon(fun,x0,A,b) star
- Page 321 and 322: fminconfunThe function to be minimi
- Page 323 and 324: fminconthen the function nonlcon mu
- Page 325 and 326: fmincongradhessianlambdaoutputGradi
- Page 327 and 328: fminconthe values of these fields i
- Page 329 and 330: fminconHessianHessMultIf 'on', fmin
- Page 331 and 332: fminconPrecondBandWidth Upper bandw
- Page 333 and 334: fminconSince both constraints are l
- Page 335 and 336: fmincon• A dense (or fairly dense
- Page 337 and 338: fminconReferences[1] Coleman, T.F.
- Page 339 and 340: fminimaxx = fminimax(fun,x,A,b,Aeq,
- Page 341 and 342: fminimaxfunThe function to be minim
- Page 343 and 344: fminimaxIf nonlcon returns a vector
- Page 345 and 346: fminimaxlambdamaxfvaloutputStructur
- Page 347 and 348: fminimaxMeritFunctionMinAbsMaxOutpu
- Page 349 and 350: fminimaxx0 = [0.1; 0.1]; % Make a s
fgoalattainfunction [c,ceq,GC,GCeq] = mycon(x)c = ...% Nonlinear inequalities at xceq = ...% Nonlinear equalities at xif nargout > 2 % Nonlcon called with 4 outputsGC = ...% Gradients of the inequalitiesGCeq = ... % Gradients of the equalitiesendIf nonlcon returns a vector c of m components and x haslength n, wheren is the length of x0, then the gradient GCof c(x) is an n-by-m matrix, where GC(i,j) is the partialderivative of c(j) with respect to x(i) (i.e., the jth columnof GC is the gradient of the jth inequality constraintc(j)). Likewise, if ceq has p components, the gradientGCeq of ceq(x) is an n-by-p matrix, where GCeq(i,j) isthe partial derivative of ceq(j) with respect to x(i) (i.e.,the jth column of GCeq is the gradient of the jth equalityconstraint ceq(j)).Note Because the functions in <strong>Optimization</strong> <strong>Toolbox</strong> onlyaccept inputs of type double, user-supplied objective andnonlinear constraint functions must return outputs of typedouble.options“Avoiding Global Variables viaAnonymousandNestedFunctions” on page 2-20 explains how to parameterize thenonlinear constraint function nonlcon, if necessary.“Options” on page 8-20 provides the function-specificdetails for the options values.8-17