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An elimination method for computing the generalized inverse. (English) Zbl 0166.41601


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[1] A. Ben-Israel and S. J. Wersan, An elimination method for computing the generalized inverse of an arbitrary complex matrix, J. Assoc. Comput. Mach. 10 (1963), 532 – 537. · Zbl 0118.12104 · doi:10.1145/321186.321197
[2] J. S. Frame, Matrix functions and applications. I. Matrix operations and generalized inverses, IEEE Spectrum 1 (1964), no. 3, 209 – 220.
[3] G. Golub and W. Kahan, Calculating the singular values and pseudo-inverse of a matrix, J. Soc. Indust. Appl. Math. Ser. B Numer. Anal. 2 (1965), 205 – 224. · Zbl 0194.18201
[4] T. N. E. Greville, Some applications of the pseudoinverse of a matrix, SIAM Rev. 2 (1960), 15 – 22. · Zbl 0168.13303 · doi:10.1137/1002004
[5] Alston S. Householder, The theory of matrices in numerical analysis, Blaisdell Publishing Co. Ginn and Co. New York-Toronto-London, 1964. · Zbl 0051.34602
[6] Marvin Marcus and Henryk Minc, A survey of matrix theory and matrix inequalities, Allyn and Bacon, Inc., Boston, Mass., 1964. · Zbl 0247.15002
[7] R. Penrose, A generalized inverse for matrices, Proc. Cambridge Philos. Soc. 51 (1955), 406 – 413. · Zbl 0065.24603
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