Geodesic
The relaxation method for inconsistent systems of linear inequalities (The limit-point set)
Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 449-456.

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The finiteness of the set of limit points obtained by successive projection of an element of $R^n$ on the boundary of the furthest half-space of a finite system of half-spaces with no common points is investigated. Related questions are considered. 
@article{MZM_1969_5_4_a7,
     author = {V. D. Mazurov},
     title = {The relaxation method for inconsistent systems of linear inequalities {(The} limit-point set)},
     journal = {Matemati\v{c}eskie zametki},
     pages = {449--456},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a7/}
}
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V. D. Mazurov. The relaxation method for inconsistent systems of linear inequalities (The limit-point set). Matematičeskie zametki, Tome 5 (1969) no. 4, pp. 449-456. http://geodesic.mathdoc.fr/item/MZM_1969_5_4_a7/