Geodesic
An extension of the Sherman–Morrison identity to the case of rank-one modification of the full rank pseudoinverse matrix
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1280-1282
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     title = {An extension of the {Sherman{\textendash}Morrison} identity to the case of rank-one modification of the full rank pseudoinverse matrix},
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V. I. Erokhin. An extension of the Sherman–Morrison identity to the case of rank-one modification of the full rank pseudoinverse matrix. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 8, pp. 1280-1282. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_8_a1/

[1] Sherman J., Morrison W. J., “Adjustment of an inverce matrix corresponding to changes in the elements of a given column or row of the original matrix”, Ann. Math. Statist., 20 (1949), 621

[2] Voevodin V. V., Kuznetsov Yu. A., Matritsy i vychisleniya, Nauka, M., 1984 | MR | Zbl

[3] Ikramov Kh. D., Zadachnik po lineinoi algebre, Nauka, M., 1975 | MR

[4] Gantmakher F. R., Teoriya matrits, Nauka, M., 1988 | MR | Zbl

[5] Erokhin V. I., Kashmet V. V., Lisitsyn N. V., “Modifikatsiya algoritma Grevillya dlya udaleniya stolbtsov (strok) pri postroenii psevdoobratnoi matritsy”, Zh. vychisl. matem. i matem. fiz., 29:11 (1989), 1753