Is there a faster approach than \ operator to calculate the inverse of a lower triangular matrix?

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Benson Gou 2019-3-20

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https://ww2.mathworks.cn/matlabcentral/answers/451261-is-there-a-faster-approach-than-operator-to-calculate-the-inverse-of-a-lower-triangular-matrix

Dear All,

I have a big square lower triangular matrix A (6000 x 6000) which is very sprase with a density 0.05%, I am using Inv_A=A\eye(size(A)) to calculate the inverse of A. But I found it still takes more than 3 seconds. I am wondering if there exists a faster approach to calculate the inverse of A.

Thanks.

Benson