What Is Optimization Toolbox?

2 Tutorialfgoalattain,fmincon,fminimax, fseminfOutput HeadingObjective valueDirectionalderivativeProcedureInformation DisplayedObjective function value of the nonlinearprogramming reformulation of the minimax problemfor fminimaxCurrent gradient of the function along the searchdirectionHessian update and QP subproblem. The Proceduremessages are discussed in “Updating the HessianMatrix” on page 3-33.linprogThe following table describes the output headings specific to linprog.linprog OutputHeadingPrimal InfeasA*x-bDual InfeasA'*y+z-w-fDuality Gapx'*z+s'*wTotal RelErrorObjective f'*xInformation DisplayedPrimal infeasiblityDual infeasibilityDuality gap (see “Large-Scale Linear Programming” onpage 4-15) between the primal objective and the dualobjective. s and w appear only in this equation if thereare finite upper bounds.Total relative error, described at the end of “MainAlgorithm” on page 4-15.Current objective value2-86