MATLAB: How to change many loops to recursive function

for loop recursive

Hi, i would like to replace for loops to recursive function. I also would like to have my 5 variables m,al,R0,R1,e in array of (min, max, step,name) because may be in the future i might have more variables so i just add more array and change my function f. 
function xm = minfricloop
    
    xm = [ Inf  Inf  Inf  Inf  Inf  Inf];   %For minimization

    
    mmin = 3;
    mmax = 12;
    almin = 0.2;
    almax = 1;
    R0min = 0.014;
    R0max = 0.020;
    R1min = 0.025;
    R1max = 0.030;
    emin = 0.5;
    emax = 0.9;
    rpm = 20000;
    ita = 0.1;
    h0 = 2.51849556599183e-05;
    n = 5;
   
    
   for v = 0 :20
       
      m = mmin + (mmax-mmin)*(v/(20));
        for w = 0 :20
             al = almin + (almax-almin)*(w/(20));
             
             for  x = 0 :20
                R0 = R0min + (R0max-R0min)*(x/(20));
                for y = 0 :20
                    R1 = R1min + (R1max-R1min)*(y/(20));
                    for z = 0 :20
                         e = emin + (emax-emin)*(z/(20));
                       
         k   =  (2*pi*e*(R0+R1)/(2*m))*tan(al*pi/180)/h0;
      
        f = (R1-R0)*(rpm*2*pi*(R0+R1)/(2*60))*ita*(2*pi*e*(R0+R1)/(2*m))*((6/(k+2))+(4*log(k+1)/k))/h0;
       
       if f < xm(6) %For minimization
           xm = [m al R0 R1 e f];
       end
                    end    
                end
             end
        end
   end
end

Best Answer

Code attached showing how to use ndgrid for this kind of work.
On my system execution time is less than 0.15 seconds.
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