How to iterate so it will converge

Question

A 2019-9-23

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/481742-how-to-iterate-so-it-will-converge

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
显示无隐藏无

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

Rena Berman 2019-10-28

(Answers Dev) Restored edit

请先登录，再进行评论。

请先登录，再回答此问题。

Answer 1

KALYAN ACHARJYA 2019-9-23

1
链接

此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/481742-how-to-iterate-so-it-will-converge#answer_393174

编辑：KALYAN ACHARJYA 2019-9-23

在 MATLAB Online 中打开

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

3 个评论
显示 1更早的评论隐藏 1更早的评论

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 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

请先登录，再进行评论。