Geodesic
An algorithm for finding normal solutions of consistent systems of linear equations
Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 121-128

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We propose a numerical algorithm for finding the normal solution of consistent systems of linear algebraic equations of incomplete rank of rows. Results of a comparison of a numerical realization of the proposed algorithm with some known subroutines are given. 
@article{FPM_2008_14_2_a6,
     author = {M. V. Lezhnev},
     title = {An algorithm for finding normal solutions of consistent systems of linear equations},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {121--128},
     publisher = {mathdoc},
     volume = {14},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a6/}
}
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M. V. Lezhnev. An algorithm for finding normal solutions of consistent systems of linear equations. Fundamentalʹnaâ i prikladnaâ matematika, Tome 14 (2008) no. 2, pp. 121-128. http://geodesic.mathdoc.fr/item/FPM_2008_14_2_a6/