Results 301 to 310 of about 5,451,323 (354)

Linear Equations and Linear Inequalities

2002
While Chapter 1 reviews general structural aspects of real vector spaces, we now discuss fundamental computational techniques for linear systems in this chapter. For convenience of the discussion, we generally assume that the coefficients of the linear systems are real numbers.
Ulrich Faigle, Walter Kern, Georg Still
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Committees of Systems of Linear Inequalities

Automation and Remote Control, 2004
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mazurov, V. D., Khachai, M. Yu.
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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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Linear Inequality Scaling Problems

SIAM Journal on Optimization, 1992
The author shows that the linear inequality scaling problems (LISP) is a generalization of the linear equality scaling problem and that it unifies a number of matrix-scaling problems that have been studied recently. Further, it is shown that LISP can be reduced to one of two convex optimization problems and these reductions are used to characterize ...
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Linear Matrix Inequalities in Control

2007
This chapter gives an introduction to the use of linear matrix inequalities (LMIs) in control. LMI problems are defined and tools described for transforming matrix inequality problems into a suitable LMI-format for solution. Several examples explain the use of these fundamental tools.
Herrmann, G, Turner, MC, Postlethwaite, I   +2 more
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Remarks on Perturbations in Linear Inequalities

SIAM Journal on Numerical Analysis, 1975
In recent papers, both Robinson and the author have considered the behavior of the solution set of systems of linear equalities and inequalities where the vectors and matrices defining the set are subjected to perturbations. Robinson’s aim has been to identify special conditions on the systems so that the solution sets will be stable under arbitrary ...
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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
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Fuzzy Control Systems Design and Analysis: A Linear Matrix Inequality Approach

, 2008
Kazuo Tanaka, Hong Wang
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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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Best Approximate Solutions of Inconsistent Linear Inequality Systems

Vietnam Journal of Mathematics, 2018
M. Goberna, J. Hiriart-Urruty, M. López
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