Is there a way to compute average norm after a series of trials?

Question

Tarek Hajj Shehadi 2021-7-12

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https://ww2.mathworks.cn/matlabcentral/answers/876803-is-there-a-way-to-compute-average-norm-after-a-series-of-trials

评论： Tarek Hajj Shehadi 2021-7-12

采纳的回答： Ben McMahon

Suppose I have a matrix

and

I am solving a least-square problem using QR using my own algorithm.

A and b are both generated randomly.

Is there a way to run this least square algorithm several time and at each run the norm

is computed and finally the average of all these norms is taken?

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Answer 1

Ben McMahon 2021-7-12

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I am a bit confused by your question, as x is not defined. If you want to run your algorithim for a set number of randomly generated matrices and vectors then something similar to the code below should work:

numIterations = 10; % Number of random samples of your matrix / vector combo you want to compute
for Iteration = 1:numIterations   
    A = rand(100,100);
    b = rand(100,1);
   
    x = myLeastSquareAlgo(A,b); % Your algorithim function that calculates 'x'. 
    
    normArray(Iteration) = norm(b-A*x);
end 
meanNorm = mean(normArray);