Geodesic
On the computer-algebra implementation of the least-squares method on the nonnegative orthant
Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 23-29

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Maple procedures for solving the so-called NNLS (Nonnegative Least Squares) problem are described. The NNLS problem is to minimize $$ ||Ex-f||_2 $$ subject to $$ x\geqslant0. $$ The solution of an NNLS problem is the crucial step OF the conventional algorithm for solving linear least-squares problems with linear inequality constraints. 
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     author = {Kh. D. Ikramov and M. Matin far},
     title = {On the computer-algebra implementation of the least-squares method on the nonnegative orthant},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {23--29},
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     volume = {309},
     year = {2004},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a2/}
}
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Kh. D. Ikramov; M. Matin far. On the computer-algebra implementation of the least-squares method on the nonnegative orthant. Zapiski Nauchnykh Seminarov POMI, Computational methods and algorithms. Part XVII, Tome 309 (2004), pp. 23-29. http://geodesic.mathdoc.fr/item/ZNSL_2004_309_a2/