How to normalize a vector considering both maximum and the sum of values?

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Sooraj Narayan
Sooraj Narayan 2019-12-19
编辑： Andrei Bobrov 2019-12-24
For instance; I have a vector
A=[
7782
7761
7707
7832
8154
8442
8690
9151
9318
9300 ];
The maximum is 9300 and the sum is 84137. Now I need to normalize this vector so that I get the same shape pattern for a new maximum (say 9900) and new sum (say 8700).

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回答（2 个）

Kaashyap Pappu
Kaashyap Pappu 2019-12-23
You can use the normalize function with the ‘range’ method to preserve the shape of your normalized plot. This will consider values in the range [a,b] where a is the minimum value and b is the maximum value. The other methods could also be used as needed.
Hope this helps!
Andrei Bobrov
Andrei Bobrov 2019-12-23
Please run follow m - file:
SN = 8700;
Nmx = 9900;
nmn = fzero(@(x)func1(x,Nmx,SN,A),-10000);
[~,N] = func1(nmn,Nmx,SN,A);
function [dt,N] = func1(Nmn,Nmx,SN,A)
mn = min(A);
N = (Nmx - Nmn)/(max(A) - mn)*(A - mn) + Nmn;
dt = sum(N) - SN;
end
Here N - your output vector.
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Sooraj Narayan
Sooraj Narayan 2019-12-24
Thanks a lot for the reply. But would you kindly mind elaborating on the mathematics behind the code? I am having doubts whether it is actually possible to retain the shape of a vector while normalizing it using the maximum and the sum?

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