# Impose a numerical limit on the value of a sum of two vectors

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Richard Wood on 16 Jul 2021
Commented: Stephen on 16 Jul 2021
Hello everyone
I want to sum two arrays, let's say a1 and a2. However, I seek that the sum, element by element, of these vectors does not exceed the maximum value of the array a1. Those elements of the sum vector that exceed this limit, I would like them to show the maximum of a1 as a numerical value.
How could I do this?

Alan Stevens on 16 Jul 2021
One possibility is
min(max(a1),a1+a2)
Stephen on 16 Jul 2021
+1 this is the efficient MATLAB approach. However it needs to avoid the issues caused by the default behavior of max:
min(max(a1(:)),a1+a2)

KSSV on 16 Jul 2021
a12 = a1+a2 ;
[val,idx] = max(a1)
a12(a12>val) = []

Jayant Gangwar on 16 Jul 2021
It is my understanding that you would like to sum two arrays element by element and replace all the elements in the resulting array that are greater than the max element in first array by that max element. Given below is an example where I have done the same with two dummy arrays.
a=1:10;
b=1:10;
ans=a+b;
m=max(a);
ans(ans>m)=m