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Note on an extension of the Moore-Penrose inverse. (English) Zbl 0468.15003

MSC:
15A09 Theory of matrix inversion and generalized inverses
15B33 Matrices over special rings (quaternions, finite fields, etc.)
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[1] Ben-Israel, A.; Greville, T.N.E., Generalized inverses: theory and applications, (1974), Wiley New York · Zbl 0305.15001
[2] Cline, R.E.; Greville, T.N.E., A Drazin inverse for rectangular matrices, Linear algebra and appl., 29, 53-62, (1980) · Zbl 0433.15002
[3] Drazin, M.P., Pseudo-inverses in associative rings and semigroups, Amer. math. monthly, 65, 506-513, (1958) · Zbl 0083.02901
[4] Gabriel, R., Das verallgemeinerte inverse in algebren, Rev. roumaine math. pures appl., XX, 311-324, (1975) · Zbl 0313.15006
[5] R.E. Hartwig, D-inverse in cryptography, submitted for publication.
[6] Pearl, M.H., Generalized inverses of matrices with entries taken from an arbitrary field, Linear algebra and appl., 1, 571-587, (1968) · Zbl 0186.33602
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