Results 301 to 310 of about 4,586,223 (354)

Linear Inequalities and Polyhedra

2014
The focus of this chapter is on the study of systems of linear inequalities Ax ≤ b. We look at this subject from two different angles. The first, more algebraic, addresses the issue of solvability of Ax ≤ b.
Michele Conforti, Gérard Cornuéjols, Giacomo Zambelli   +2 more
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LINEAR EQUATIONS AND INEQUALITIES

2017
As we have observed, the constraints of a meaningful linear program must include at least one linear inequality, but otherwise they may be composed of linear equations, linear inequalities, or some of each.
Richard W. Cottle, Mukund N. Thapa
openaire   +2 more sources

An affine scaling interior trust-region method combining with nonmonotone line search filter technique for linear inequality constrained minimization

International Journal of Computational Mathematics, 2018
Dan Li, D. Zhu
semanticscholar   +1 more source

Best Approximate Solutions of Inconsistent Linear Inequality Systems

Vietnam Journal of Mathematics, 2018
M. Goberna, J. Hiriart-Urruty, M. López
semanticscholar   +1 more source

Surrogate methods for linear inequalities

Journal of Optimization Theory and Applications, 1992
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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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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Trust region subproblem with an additional linear inequality constraint

Optimization Letters, 2016
M. Salahi, S. Fallahi
semanticscholar   +1 more source

Digital finance and sustainable development: Evidence from environmental inequality in China

Business Strategy and the Environment, 2022
Guoxiang Li, Rong Zhang
exaly  

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 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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