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On Perturbations in Systems of Linear Inequalities
SIAM Journal on Numerical Analysis, 1973We 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]
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Linear Equations and Inequalities
1993Equations 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, 1964Abstract 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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A Probelm in Linear Inequalities
Proceedings of the London Mathematical Society, 1966openaire +3 more sources
Algebraic theory of linear inequalities
Ukrainian Mathematical Journal, 1968openaire +5 more sources
Linear inequalities and some of their applications
Ukrainian Mathematical Journal, 1974N. N. Krasovskii, I. I. Eremin
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Linear Conformable Inequalities
2020Douglas R. Anderson, Svetlin G. Georgiev
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Linear Inequalities and Analysis
The American Mathematical Monthly, 1964A. J. Hoffman, M. H. McAndrew
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