Geodesic
On solvability of linear equation with regulated matrix function
Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 7-10.

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The matrix Moore–Penrose inverse belonging to the regulated functions space conditions are obtained. The linear equations system with regulated matrix solvability in regulated functions is proved. 
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O. V. Babich. On solvability of linear equation with regulated matrix function. Izvestiya Instituta Matematiki i Informatiki Udmurtskogo Gosudarstvennogo Universiteta, Tome 25 (2002) no. 2, pp. 7-10. http://geodesic.mathdoc.fr/item/IIMI_2002_25_2_a0/

[1] Rodionov V. I., “O preryvistykh funktsiyakh”, Izvestiya Instituta matematiki i informatiki UdGU, 2002, no. 2(25), 87–90

[2] Izumino S., “Convergence of generalized inverses and spline projectors”, J. Approx. Theory, 38 (1983), 269–278 | DOI | MR | Zbl

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[4] Stewart G. W., “On the continuity of the generalized inverse”, SIAM, 17 (1969), 33–45 | MR | Zbl