On computing certain elements of the inverse of a sparse matrix
A. M. Erisman, W.F. Tinney · Communications of the ACM · 1975
A recursive algorithm for computing the inverse of a matrix from the LU factors based on relationships in Takahashi, et al., is examined. The formulas for the algorithm are given; the dependency relationships are derived; the computational costs are developed; and some general comments on application and stability are made.