How to iterate so it will converge

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A
A 2019-9-23
评论： Rena Berman 2019-10-28
Hi so im trying to iterate this code so that it will converge, but Im not getting how to do it. I did it manually, but im not able to use any loops cause it wont work out...
Heres how I did it manually... just cant figure out how to soft code it... and the delta values must be> 0.0001. Like I belive is suppose to be like while> delta(i)>0.0001. And also, all variables shown below are vectors.
%Code shown below
end
%First Iteration
l_0=InMeas(Angles,Distance,Coordinate,x_0); %Function
A=Amatrix(Angles,Distance,Coordinate,x_0); %Function
w0=l_0-l; % Also this has to get updated
delta0= -inv(A.'*P*A)*A.'*P*w0
xhat=x_0+delta0; %This needs updating
%2nd Iterations
l_01=InMeas(Angles,Distance,Coordinate,xhat); %Function
A1=Amatrix(Angles,Distance,Coordinate,xhat); %Function
w01=l_01-l; % Also this has to get updated
delta01= -inv(A1.'*P*A1)*A1.'*P*w01
xhat1=xhat+delta01; %This needs updating
  2 个评论
Stephen23
Stephen23 2019-9-25
AB's Original Question (from Google Cache):
Hi so im trying to iterate this code so that it will converge, but Im not getting how to do it. I did it manually, but im not able to use any loops cause it wont work out...
Heres how I did it manually... just cant figure out how to soft code it...
%First Iteration
l_0=InMeas(Angles,Distance,Coordinate,x_0); %Function
A=Amatrix(Angles,Distance,Coordinate,x_0); %Function
w0=l_0-l; % Also this has to get updated
delta0= -inv(A.'*P*A)*A.'*P*w0
xhat=x_0+delta0; %This needs updating
%2nd Iterations
l_01=InMeas(Angles,Distance,Coordinate,xhat); %Function
A1=Amatrix(Angles,Distance,Coordinate,xhat); %Function
w01=l_01-l; % Also this has to get updated
delta01= -inv(A1.'*P*A1)*A1.'*P*w01
xhat1=xhat+delta01; %This needs updating

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回答（1 个）

KALYAN ACHARJYA
KALYAN ACHARJYA 2019-9-23
编辑：KALYAN ACHARJYA 2019-9-23
but im not able to use any loops cause it wont work out...
The convergence criteria is not related with loop (its do just repetition),its based mathematical modeling of the problem. As my undestanding, the requiremnt is xhat to be converge (no chage) after certain iterations, when xhat is converge, then loop must be terminated. Hints, you may think this way, but still you have to ensure that after certains times of iterations, xhat must be ramain same (unchanged)
while xhat_present~=xhat_initial
%your code
end
Also requested you to check the @Walter's Answer on while loop convergence criteria
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KALYAN ACHARJYA
KALYAN ACHARJYA 2019-9-23
编辑：KALYAN ACHARJYA 2019-9-23
Any equations convergent or not depends on maths equation or model. Suppose if you consider any linear equation, such equation will never converged after infinite interartions also.
Have you check your equations manually, after certain iterations, xhat will be converged?
Can you show the Maths details?
A
A 2019-9-23
编辑：A 2019-9-23
delta is the one that converges, but unfortunatley the delta value is getting bigger and I iterate it. The math details are the ones shown in the code

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