MATLAB: Evaluation of Integration without Loops

integrationMATLAB

Hello all.

I have a mathematical expression takes the following form,

where C is known scalar, and

is known vector. The question here is, Does MATLAB have some functions to evaluate this integral function without using loops (I have the solution with for loop)?

I am trying to look for the minimum time the PC takes to evaluate the function

becasue I am optimizing the scalar C against some objective function. For example, does conv() can help here by anyhow?

Thanks a lot,

Ahmad

Best Answer

I fixed it using cumtrapz() function.

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ezplot(['y-x*exp( (1-y)/(' num2str(A) '*y)*' num2str(B) ')'],[x(1) x(end)])

 As = ...; 
 Bs = ...;
 y = zeros(size(x));
 for j = 1:length(x)
    y(j) = fzero(@(y)y-x(j).*exp( (1-y)./(As*y)*Bs ),1);
 end
 plot(x,y);

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The posted code is working without an error. Matlab#s MLint mentions, that ro4 and all gm* variables are not used. But I do get an error message.

What about this:

ANS2 = 8010.837753694346;

Another impression: The accuracy of the output depends on the accuracy of the inputs. Did you analyse the sensitivity of the output to a variation of the inputs already? If accuracy matters, such an analysis is fundamental.

Best Answer

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