Geodesic
About one numerical stable algorithm for solving system linear algebraic equations of defect rank
Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2008), pp. 149-153.

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A new method for solving unstable problems that can be reduced to arbitrary systems of linear algebraic equations (which may not be of full rank or may be inconsistent) is examined. This method is based on the reduction of regularization of normal system equations to an equivalent augmented regularization of normal system equations. 
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A. I. Zhdanov. About one numerical stable algorithm for solving system linear algebraic equations of defect rank. Journal of Samara State Technical University, Ser. Physical and Mathematical Sciences, no. 1 (2008), pp. 149-153. http://geodesic.mathdoc.fr/item/VSGTU_2008_1_a21/

[1] Demmel Dzh., Vychislitelnaya lineinaya algebra. Teoriya i algoritmy, Mir, M., 2001

[2] Dzh. Golub., Ch. Van Loun, Matrichnye vychisleniya, Mir, M., 1999

[3] Trefethen L. N., Bau D., Numerical Linear Algebra, SIAM, Philadelphia, 1997 | MR

[4] Beklemishev D. V., Dopolnitelnye glavy lineinoi algebry, Nauka, M., 1983 | MR | Zbl

[5] Zhdanov A. I., Vvedenie v metody resheniya nekorrektnykh zadach, Chast 2: ucheb. posobie, Izd-vo Samar. gos. aerokosm. un-ta, Samara, 2007