Normal fans of polyhedral convex sets
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Publication:931419
DOI10.1007/s11228-008-0077-9zbMath1144.52008OpenAlexW1548524765MaRDI QIDQ931419
Publication date: 25 June 2008
Published in: Set-Valued Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-008-0077-9
Sensitivity, stability, parametric optimization (90C31) Convex functions and convex programs in convex geometry (52A41) Polytopes and polyhedra (52B99) General convexity (52A99)
Related Items (12)
Normally admissible stratifications and calculation of normal cones to a finite union of polyhedral sets ⋮ Equations on monotone graphs ⋮ Individual confidence intervals for solutions to expected value formulations of stochastic variational inequalities ⋮ Exploiting the polyhedral geometry of stochastic linear bilevel programming ⋮ Finite-time stability of any polyhedral sweeping process with uni-directional loading and application to elastoplastic models ⋮ Exact Quantization of Multistage Stochastic Linear Problems ⋮ AN INCLUSION–EXCLUSION IDENTITY FOR NORMAL CONES OF POLYHEDRAL SETS ⋮ A Block Lanczos Method for the Extended Trust-Region Subproblem ⋮ On optimal control of a sweeping process coupled with an ordinary differential equation ⋮ A point-of-attraction result for Newton's method with point-based approximations ⋮ Lipschitz continuity results for a class of variational inequalities and applications: A geometric approach ⋮ Normal cones corresponding to credal sets of lower probabilities
Cites Work
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- Indecomposable polytopes
- On the stability of the boundary of the feasible set in linear optimization
- Introduction to Toric Varieties. (AM-131)
- Variational Inequalities over Perturbed Polyhedral Convex Sets
- Normal Maps Induced by Linear Transformations
- Convex Analysis
- Decomposable convex polyhedra
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