Issue No. 02 - February (1974 vol. 23)
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.
Generalized inverse, Hermite-difference matrix, least squares g-inverse, LU-algorithm, minimum norm g-inverse, pseudo-inverse, redundant conrection.
S. Sen and E. Krishnamurthy, "Rank-Augmented LU-Algorithm for Computing Generalized Matrix Inverses," in IEEE Transactions on Computers, vol. 23, no. , pp. 199-201, 1974.