how to run function for several times with different variables

I have something like this:

a=5
b=8
c=9
d=11
%a,b,c and d are function inputs
n=a*0.1:a*0.1:a
for i=1:length(n)
"function"
end

but I need to run function replacing 'a' in 'n' with 'b','c' and 'd' at once and save the data so I can compare it. it is a sensitivity analysis for this function outputs.

[dpb]

To do every point for all four variables would be quad-nested for loops and you'd end up with 4^10= 1048576 outputs. Depending on how expensive function() is in compute time, this might take a while...

Typically one uses response surface methods or similar to do such studies that replace the detail function with a (typically) quadratic surface over the design space. (Myers, RH, Response Surface Methodology, Allyn and Bacon, 1971 was my "go to" and still a favorite).

[Asliddin Komilov]

that is too difficult for me, I did it for each variable separately (see below). thank you

Answer 1

[Dennis]

In your example you do not need more than one variable:

a=[5 8 9 11];
for i=1:numel(a)
    n=a(i)*0.1:a(i)*0.1:a(i);
    for k=1:numel(n)
    %function
    end
end

[dpb]

"but I need to run function replacing 'a' in 'n' with 'b','c' and 'd'..."

[Asliddin Komilov]

thanks, but it gave error inside th function, so I decided to skip it.

Answer 2

[Asliddin Komilov]

I just saved the loop for each variable.

a=5
b=8
c=9
d=11
%a,b,c and d are function inputs
n=a*0.1:a*0.1:a
for i=1:length(n)
"function"
end
save file_a
a=a(end);
clear "function outputs"
%--------------------------
n=b*0.1:b*0.1:b
for i=1:length(n)
"function"
end
save file_b
b=b(end);
clear "function outputs"
%---------------------------
..........

[Stephen23]

You could save the bother by simply putting your data into one array and using indexing.