Calculation with for loop saving the output in separate variables

Example 1

% Initiate A and x
A=[2 2; 1 3]
x=[0.5; 1]

% Create a for loop
for i = 1:100
    x=A*x, x=x/max(x)
end

Example 2

A=[2 2; 1 3]
x=[0.5; 1]

x=x/max(x);
A1=A*x

x=x/max(x);
A2=A*A*x

x=x/max(x);
A3=A*A*A*x

I want to normalize x in each step of a new calculation. As you can see I store the result in a separate variable in the second example. I also want to do that for the for-loop, is that possible?

[Stephen23]

"is that possible?"

It is certainly possible, if you want to force yourself into writing inefficient, slow, complex, obfuscated, buggy code that is hard to debug. Read this to know more:

https://www.mathworks.com/matlabcentral/answers/304528-tutorial-why-variables-should-not-be-named-dynamically-eval

The simple and very efficient MATLAB approach is to use indexing.

Answer 1

[Matt J]

This is how you should do it:

A=[2 2; 1 3];
x=[0.5; 1];

x=x/max(x);

n=5;

B=cell(1,  n);
B{1}=A*x;

for i=2:n
 B{i}=A*B{i-1};
end