What Is Optimization Toolbox?

Optimization OptionsoptimValues Fields (Continued)OptimValues Field(optimValues.field)stepsizeDescriptionCurrent step size(displacement inx). Final valueequals optimizationfunction outputoutput.stepsize.Returned byFunctionsfgoalattain (M),fmincon (B), fminimax(M), fminunc (B),fseminf (M), fsolve(B), lsqcurvefit (B),lsqnonlin (B)trustregionradius Radius of trust region. fmincon (L), fsolve(L,M,NonlEqn-Algorithm='lm','gn'),lsqcurvefit, fsolve(L), lsqnonlin (L)Command-LineDisplayStep-size orNorm of StepSee “DisplayingIterativeOutput” on page2-81.Trust-regionradiusSee “DisplayingIterativeOutput” on page2-81.Degeneracy. Thevalueofthefielddegenerate, which measures thedegeneracy of the current optimization point x, is defined as follows. First,define a vector r, of the same size as x,forwhichr(i) is the minimum distancefrom x(i) to the ith entries of the lower and upper bounds, lb and ub. Thatis,r = min(abs(ub-x, x-lb))Then the value of degenerate is the minimum entry of the vectorr + abs(grad), wheregrad is the gradient of the objective function. Thevalue of degenerate is 0 if there is an index i for which both of the followingare true:• grad(i) = 0• x(i) equals the ith entry of either the lower or upper bound.6-23