… We give necessary and sufficient conditions, for a system to be irreducibly inconsistent, …
inconsistent systems. The simplex method can be used to identify irreducibly inconsistent …

… Another by-product of the proof of the last theorem is the following fact: If in the matrix M of
an irreducibly inconsistent system S we pick out any non-vanishing determinant of order m - 1, …

… Algorithms for finding such irreducible inconsistent systems (llSs) of constraints have been
proposed, implemented, and tested in recent years. Experience with lISs shows that a further …

… irreducible inconsistent subsystem (IIS) if it is inconsistent and if it has no … to systems of
inequalities, the most interesting in this context is a necessary condition for an inconsistent system …

… A system (1) is said to be irreducibly inconsistent, if it is inconsistent and if every proper
subsystem of (1) is consistent. The convex functions /i, ft, • • • , fm are said to be linearly inde…

… of minimal infeasible systems of constraints, also known as irreducibly inconsistent systems.
A set of constraints constitutes a minimal infeasible or irreducibly inconsistent system if it is …

… inconsistent constraints and to find the real cause of the conflict, we apply an Irreducible
Inconsistent … The term IIS was coined in (van Loon 1981) for describing inconsistent sets of …

… Moreover, the basic building blocks are so-called irreducible infeasible systems (IISs, also
called irreducible inconsistent systems), ie, infeasible subsystems such that every proper …

… I also show, contra the claim made by Earman, that the existence of irreducible probabilities
… be preserved in QT, even though QT is irreducibly stochastic (and hence fatalism fails). The …

… If we have a non-trivial solution for x2, ie the Frobenius vector x:, then by direct substitution
into the first equation of system (5) we will obtain an inconsistent system. This means that …