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- W2023488214 abstract "This paper deals with the stability of the intersection of a given set $$ Xsubset mathbb{R}^{n}$$ with the solution, $$Fsubset mathbb{R}^{n}$$ , of a given linear system whose coefficients can be arbitrarily perturbed. In the optimization context, the fixed constraint set X can be the solution set of the (possibly nonlinear) system formed by all the exact constraints (e.g., the sign constraints), a discrete subset of $$mathbb{R}^{n}$$ (as $$ mathbb{Z}^{n}$$ or { 0,1} n , as it happens in integer or Boolean programming) as well as the intersection of both kind of sets. Conditions are given for the intersection $$F cap X$$ to remain nonempty (or empty) under sufficiently small perturbations of the data." @default.
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- W2023488214 date "2005-11-10" @default.
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- W2023488214 title "On the stability of linear systems with an exact constraint set" @default.
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- W2023488214 doi "https://doi.org/10.1007/s00186-005-0030-8" @default.
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