Big O notation for complexity of a program
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Hello,
I am writing a paper and have written a program where I have to calculate the time complexity for it. the program has to find the summation of a vector of elements
v=sum(x) where x=[x1^2,x2^,…….,x(n^2)]; where n could be 1,10,100,1000,10000. each element has random value. I have used (tic toc) to find the calculation time but I got strange results; I expect that the time will be increase linearly while changing n from 1 to 10000 but I got graphs as shown in the attachment where results differ for each run. I would like to ask: is the time of summation process varies with respect to the values; for example sum[1.2^+2.3^] is differ from sum[11546.233665^2+9866.89^2] ?
Also, I have did the following test:
d=1000;
VarMin = -10;
VarMax = 10;
VarSize=[1 d];
x=unifrnd(VarMin,VarMax,VarSize);
tic
sum(x);
toc
disp('%%%%%%%%%%%%%%%%%%%5')
tic
sum(x);
toc
the results is:
Elapsed time is 0.000100 seconds.
%%%%%%%%%%%%%%%%%%%5
Elapsed time is 0.000056 seconds.
So what is the best way is this case to find the compelxity. Thank you in advance
Hazim
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