How to make inline function using for loop?

I need to make following function using "function handle"....

      x=[x(1),x(2),x(3),...…,x(N)]……..Let say N=50

for i=1:1:N
  fun(i)=@(x) 2*a + b + 4*c*d + 6*e   %a, b ,c , d and e are iterative variables
end

    a=[x(1),x(6),x(11),x(16),x(21),x(26),....,x(46)]
    b=[x(2),x(7),x(12),x(17),x(22),x(27),.....x(47)]
    c=[x(3),x(8),x(13),x(18),x(23),x(28),.....x(48)]
    d=[x(4),x(9),x(14),x(19),x(24),x(29),.....x(49)]
    e=[x(5),x(10),x(15),x(20),x(25),x(30),.....x(50)]

How can I write function using for loop?

[Walter Roberson]

Why are you storing the same calculated anonymous function N times?

[Sajjad Malik]

Ultimately I use this function in "fmincon".....as an objective function...I tried other methods but could not find success.

Answer 1

[Walter Roberson]

fun = cell(N, 1);
F = @(x) 2*x(1:5:N) + x(2:5:N) + 4*x(3:5:N).*x(4:5:N) + 6*x(5:5:N);
fun(:) = {F};

Now fun stores N copies of the same function handle, each of which implements

@(x) 2*a + b + 4*c*d + 6*e

where a, b, c, d, e are short-hand for

    a=[x(1),x(6),x(11),x(16),x(21),x(26),....,x(46)]
    b=[x(2),x(7),x(12),x(17),x(22),x(27),.....x(47)]
    c=[x(3),x(8),x(13),x(18),x(23),x(28),.....x(48)]
    d=[x(4),x(9),x(14),x(19),x(24),x(29),.....x(49)]
    e=[x(5),x(10),x(15),x(20),x(25),x(30),.....x(50)]

Each of the function handles will return a vector of length 50/5 = 10.

[Sajjad Malik]

sorry for late reply...Thanks for the answer...I used this method previously....Can you please answer me following two questions.....(1) How can this function be used in fmincon? ….. (2) How can I evaluate function using feval? ...Kindly remember that there are 50 variables in my code...named as x(1), x(2),....,x(50)….Regards

[Walter Roberson]

You cannot use the function with fmincon because the objective function for fmincon needs to return a scalar.

[Sajjad Malik]

Exactly...you are right....Is there any other way to deal with this type of situation?...

[Walter Roberson]

No. When your objective function returns a vector of results, then fmincon and most other minimizers are not appropriate. You would need something like gamultiobj() which tries to find pareto fronts.

[Sajjad Malik]

Thanks Walter