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Linear Matrix Inequalities [PDF]
The origin of Linear Matrix Inequalities (LMIs) goes back as far as 1890, although they were not called this way at that time, when Lyapunov showed that the stability of a linear system \( {\bf {\dot x}} = {\bf {Ax}} \) is equivalent to the existence of a positive definite matrix P, which satisfies the matrix inequality\( \bf {{A^T}P} + \bf {PA} < \bf {
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Best Approximate Solutions of Inconsistent Linear Inequality Systems
Vietnam Journal of Mathematics, 2018M. Goberna, J. Hiriart-Urruty, M. López
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Trust region subproblem with an additional linear inequality constraint
Optimization Letters, 2016M. Salahi, S. Fallahi
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Digital finance and sustainable development: Evidence from environmental inequality in China
Business Strategy and the Environment, 2022Guoxiang Li, Rong Zhang
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Linear Equations and Inequalities
1990The solution of systems of linear equations (briefly called equations) is probably the most important type of numerical computer application, because countless problems in applied mathematics ultimately — if only approximately — can be reduced to linear equations.
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Calmness of the Feasible Set Mapping for Linear Inequality Systems
, 2014M. J. Cánovas+4 more
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Relaxation methods for solving linear inequality systems: converging results
TOP - An Official Journal of the Spanish Society of Statistics and Operations Research, 2011E. González-Gutiérrez+2 more
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Linear Conformable Inequalities
2020Douglas R. Anderson, Svetlin G. Georgiev
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Faces for a linear inequality in 0–1 variables
Mathematical programming, 1975L. Wolsey
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