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Timeline for Time complexity of LU decomposition

Current License: CC BY-SA 3.0

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Feb 28, 2020 at 1:58 comment added user681443 I am a little confused. Why don't any of the answers here also consider the part where we have to also find the upper triangular matrix?
Oct 28, 2018 at 5:32 review Suggested edits
Oct 28, 2018 at 6:42
Jun 19, 2015 at 15:28 vote accept amaatouq
Jun 18, 2015 at 22:29 comment added lmsteffan You can use the classical formulas for the sums of the first $n$ squares and the first $n$ integers : $$ \sum_0^n{k^2} =\frac{1}{6} {\left(2 n + 1\right)} {\left(n + 1\right)} n $$ and $$ \sum_0^n{k} =\frac{n(n+1)}{2}$$ and adapt them to $n-1$
Jun 18, 2015 at 22:19 comment added amaatouq I get it up to the $2 \sum_{j=0}^{n-1} (j^2 + j)$ .. but then I don't see how did you get the next step. I must be missing something.
Jun 18, 2015 at 21:47 history answered lmsteffan CC BY-SA 3.0