Geodesic
Consistency examination of linear inequality system
Mathematica Applicanda, Tome 26 (1997) no. 40, pp. 83-87.

Voir la notice de l'article provenant de la source Annales Societatis Mathematicae Polonae Series

An investigation of the consistency of a linear inequality system is considered. It is proven that the system of linear inequalities Ax≥b is consistent if and only if for any generalized inverse A− of a matrix A the system of equations (I−AA−)v=−(I−AA−)b has a nonnegative solution for the vector v. Consistency of the above system does not depend on the choice of the matrix A−. The paper also presents methods for investigating the existence of nonnegative solutions of systems of linear equations.
DOI : 10.14708/ma.v26i40.1859
Classification : 15A39
Mots-clés : Linear inequalities 
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Henryk Brzeskwiniewicz; Krzysztof Kłaczyński. Consistency examination of linear inequality system. Mathematica Applicanda, Tome 26 (1997) no. 40, pp.  83-87. doi : 10.14708/ma.v26i40.1859. http://geodesic.mathdoc.fr/articles/10.14708/ma.v26i40.1859/

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