Geodesic
On the consistency of linear and quadratic systems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 4, pp. 563-567 Cet article a éte moissonné depuis la source Math-Net.Ru

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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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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/

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