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On Perturbations in Systems of Linear Inequalities

SIAM Journal on Numerical Analysis, 1973
We consider what happens to sets defined by systems of linear inequalities when elements of the system are perturbed. If $S = \{ x|Gx \leqq g,Dx = d\} $, and if ${S'}$ and ${S''}$ are defined in the obvious manner by perturbed matrices $G',G'',g',g'',D',D'',d',d''$, we show that, under certain hypotheses, to each element ${x'}$ in ${S'}$ there ...
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On a Problem in Linear Inequalities [PDF]

open access: possibleJournal of the London Mathematical Society, 1968
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Linear Equations and Inequalities

1993
Equations and inequalities in integer variables arise naturally in the dependence analysis of a program, when we try to analyze the mem- ory reference pattern. The equations are created by matching the corresponding subscripts of instances of two subscripted variables that are elements of the same array.
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Measurement structures and linear inequalities

Journal of Mathematical Psychology, 1964
Abstract The general mathematical criterion for the solvability of finite systems of linear inequalities is applied to some specific situations from measurement theory. Three examples are treated in detail, and in each case the necessary and sufficent conditions for existence of a suitable real-valued (utility) function on a finite structure are ...
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Linear inequalities and some of their applications

Ukrainian Mathematical Journal, 1974
N. N. Krasovskii, I. I. Eremin
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Linear Conformable Inequalities

2020
Douglas R. Anderson, Svetlin G. Georgiev
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Linear Inequalities and Analysis

The American Mathematical Monthly, 1964
A. J. Hoffman, M. H. McAndrew
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