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Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses
February 1974 (vol. 23 no. 2)
pp. 199-201
S.K. Sen, Computer Centre, Indian Institute of Science
A rank-augmnented LU-algorithm is suggested for computing a generalized inverse of a matrix. Initially suitable diagonal corrections are introduced in (the symmetrized form of) the given matrix to facilitate decomposition; a backward-correction scheme then yields a desired generalized inverse.
Index Terms:
Generalized inverse, Hermite-difference matrix, least squares g-inverse, LU-algorithm, minimum norm g-inverse, pseudo-inverse, redundant conrection.
Citation:
S.K. Sen, E.V. Krishnamurthy, "Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses," IEEE Transactions on Computers, vol. 23, no. 2, pp. 199-201, Feb. 1974, doi:10.1109/T-C.1974.223888
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