Consistency of a linear system of inequalities
Copyright policy ) Jean B. Lasserre;
Consistency of a linear system of inequalities
We show that a consistency check of a linear system of inequalities Ax\(\leq b\) reduces to check whether Qb\(\geq 0\) for a certain matrix Q. It is a direct consequence of the Farkas-Minkowski theorem. Thus, when one has to check consistency for different values of b, one need not run a numerical algorithm for each b.
Numerical mathematical programming methods, Linear programming, linear system of inequalities, Farkas-Minkowski theorem, consistency check
Numerical mathematical programming methods, Linear programming, linear system of inequalities, Farkas-Minkowski theorem, consistency check
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citations
Citations provided by BIP!
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
Citations provided by BIP!popularityPopularity provided by BIP!
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
Popularity provided by BIP! 10
Average
Top 10%
Average
bronze