How do I find which element of the matrix was used for this equation?

Lets say I have 2 single column matrices u16 and uexact16. They both have the same number of elements (i). I need to solve the following equation :

e = max(abs(u16(i) - uexact16(i)) / uexact16(i)

The problem is that after I find the maximum difference (by creating a matrix with all the differences), I don't know how to call which uexact16(i) was used in order to divide with it.

for i = 1:17
    absDifference(i) = abs(u16(i) - uexact16(i));
end
emax = (max(absDifference'))/ ????

Answer 1

[Marco Riani]

Hi, just call max with two output arguments

Please let me know if rowWithMaximumDifference below is what you want

Best wishes

Marco

n=10;
u16=randn(n,1);
uexact16=randn(n,1);
[~,rowWithMaximumDifference]=max(abs(u16-uexact16))

[Konstantinos Angelos Maskalaris]

Yes that's exactly it thank you !!!

[M,I] = max(absDifference');

This way M = max value and I = "position of said value on the matrix". After that all I had to do was divide by uexact16(I)

Thank you for the response