Vectorization of a function with system of ODE's
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    George Bashkatov
 on 17 Apr 2021
  
    
    
    
    
    Answered: Walter Roberson
      
      
 on 17 Apr 2021
            I want to modify famp so that it accepts a vector of y values, and reshapes the values to 2 columns, and then computes values for each row, but I don't know how I can do it. Can you help me, please?
function dydz = famp(pa,N0,pe,se,k,y,z)
k=Par.N0*pa/(pa+pe); 
dy1 = y(1).*(pa.*N0+(pa+pe).*(k.*y(1)./(y(1)+y(2)+1))); 
dy2 = y(2).*se.*(k.*y(1)./(y(1)+y(2)+1)); 
 dydz = [dy1; dy2];
What can you advice to read to understand vectorization and optimization in a whole? By the way I know about documentation, but it is not enough.
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Accepted Answer
  Walter Roberson
      
      
 on 17 Apr 2021
        function dydz = famp(pa,N0,pe,se,k,y,z)
y = reshape(y, [], 2);
k=Par.N0*pa/(pa+pe); 
dy1 = y(:,1).*(pa.*N0+(pa+pe).*(k.*y(:,1)./(y(:,1)+y(:,2)+1))); 
dy2 = y(:,2).*se.*(k.*y(:,1)./(y(:,1)+y(:,2)+1)); 
 dydz = reshape([dy1, dy2],[],1);
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