Power matrix A^t using for loop without overwriting previous values

Question

jnovv 2015-11-24

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此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/257266-power-matrix-a-t-using-for-loop-without-overwriting-previous-values

编辑： Mohammad Abouali 2015-11-24

Hi, I am trying to compute the value of at and pt, where at is the minimum column sum and pt is the maximum column sum, from t=0 to 5. I wrote this code:

A=[0 0 0.319; 0.49 0 0; 0 0.87 0.87];
for t=0:5;
    At=A^t;
    Asum=sum(At);
    at=min(Asum);
    pt=max(Asum);
    hold on
    plot(t,at,t,pt);
  end

The problem is the result that showed up is only the last value of t=5. I need to have the values of at and pt when t=0,1,2,3,4,5 and then plot it.

Any help would be greatly appreciated. Thank you!

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Answer 1

Mohammad Abouali 2015-11-24

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此回答的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/257266-power-matrix-a-t-using-for-loop-without-overwriting-previous-values#answer_201017

编辑：Mohammad Abouali 2015-11-24

在 MATLAB Online 中打开

A=[0 0 0.319; ...
   0.49 0 0; ...
   0 0.87 0.87];
at=nan(6,1);
pt=nan(6,1);
for t=0:5
    At=A^t; 
    Asum=sum(At);
    at(t+1)=min(Asum);
    pt(t+1)=max(Asum);
end
plot(0:5,at,0:5,pt);