Geodesic
Finding the most probable non-negative solution of systems of linear algebraic equations by the likelihood method
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 217-228

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A probabilistic method for regularization is proposed. This method enables one to obtain a non-negative solution to systems of linear algebraic equations. A theorem of existence of the best possible solution is proved. A numerical example of the method application is given. 
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     author = {V. S. Antyufeev},
     title = {Finding the most probable non-negative solution of systems of linear algebraic equations by the likelihood method},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {217--228},
     publisher = {mathdoc},
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     number = {3},
     year = {2013},
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     url = {http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a2/}
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V. S. Antyufeev. Finding the most probable non-negative solution of systems of linear algebraic equations by the likelihood method. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 16 (2013) no. 3, pp. 217-228. http://geodesic.mathdoc.fr/item/SJVM_2013_16_3_a2/