On Computing Certain Elements of the Inverse of a Sparse Matrix

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Abstract

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. © 1975, ACM. All rights reserved.

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Erisman, A. M., & Tinney, W. F. (1975). On Computing Certain Elements of the Inverse of a Sparse Matrix. Communications of the ACM, 18(3), 177–179. https://doi.org/10.1145/360680.360704

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