Efficient Inverse of a updated lower triangular matrix

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Dear All,
I am looking for the inverse of a updated lower triangular matrix. The original matrix is A which is a lower triangular matrix. Now I am looing for the inverse of A+B, where B is a zeros matrix except that two rows of B have 2 non-zero elements in each row. A+B is also a lower triangular matrix.
Thanks a lot in advance.
Benson

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