loop questions for k=1:n

I have a add loop questions

anew1=a1'+n*(b1-y1*a1)*y1;
anew2=anew1+n*(b2-y2*anew1')*y2;
anew3=anew2+n*(b3-y3*anew2')*y3;
anew4=anew3+n*(b4-y4*anew3')*y4;
anew5=anew4+n*(b5-y5*anew4')*y5;
anew6=anew5+n*(b6-y6*anew5')*y6
anew7=anew6+n*(b1-y1*anew6')*y1;
anew8=anew7+n*(b2-y2*anew7')*y2;
anew9=anew8+n*(b3-y3*anew8')*y3;
anew10=anew9+n*(b4-y4*anew9')*y4;
anew11=anew10+n*(b5-y5*anew10')*y5
anew12=anew11+n*(b6-y6*anew11')*y6
anew13=anew12+n*(b1-y1*anew12')*y1

how can I change this type of questions for a loop question ?

[Rik]

What did you try this far?

[Stephen23]

Numbered variable names are how beginners force themselves into writing slow, buggy, complex code:

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

If you put your data into arrays then you could neatly and efficiently access that data in a loop using indexing.

Answer 1

[Jan]

This was answered in your other thread already: Replace a list of variables with an index hidden in the names by an array.

Maybe something like this:

   b = rand(1, 6);
   y = rand(1, 6);
   index = [1:6, 1:6, 1];
   a = 0;  % Or however this is initialized
   for k = index
     a = a + n * (b(k) - y(k) * a) * y(k);
   end

The transpose operator in your code seems like some inputs are vectors. Then use e.g. y(:, k) instead of y(k).

This method is more compact, easier to read and to debug and expected to be faster. The rule is easy: Never hide indices in the names of variables.