Geodesic
On the consistency of linear and quadratic systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 563-567

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A system of linear inhomogeneous inequalities is examined. An algorithm is presented for isolating all the consistent subsystems in this system that are maximal with respect to inclusion, and justification of this algorithm is given. A criterion for the consistency of a system of quadratic inhomogeneous equations and inequalities is proposed. 
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     author = {A. V. Arutyunov and E. V. Kruglova},
     title = {On the consistency of linear and quadratic systems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     publisher = {mathdoc},
     volume = {46},
     number = {4},
     year = {2006},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a0/}
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A. V. Arutyunov; E. V. Kruglova. On the consistency of linear and quadratic systems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 563-567. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_4_a0/