What Is Optimization Toolbox?

fminbndThevalueattheminimumisy = f(x)y =-1If fun is parameterized, you can use anonymous functions to capturethe problem-dependent parameters. For example, suppose you want tominimize the objective function myfun defined by the following M-filefunction.function f = myfun(x,a)f = (x - a)^2;Note that myfun has an extra parameter a, soyoucannotpassitdirectlyto fminbind. To optimize for a specific value of a, suchasa = 1.5.1 Assign the value to a.a = 1.5; % define parameter first2 Call fminbnd with a one-argument anonymous function that capturesthat value of a and calls myfun with two arguments:x = fminbnd(@(x) myfun(x,a),0,1)Algorithmfminbnd is an M-file. The algorithm is based on golden section searchand parabolic interpolation. Unless the left endpoint x 1is very close tothe right endpoint x 2, fminbnd never evaluates fun at the endpoints,so fun need only be defined for x in the interval x 1< x < x 2. If theminimum actually occurs at x 1or x 2, fminbnd returns an interior pointatadistanceofnomorethan2*TolX from x 1or x 2,whereTolX is thetermination tolerance. See [1] or [2] for details about the algorithm.8-32