Point-based neighborhoods for sharp calmness constants in linear programming
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Publication:683298
DOI10.1007/s11228-017-0427-6zbMath1387.90247OpenAlexW2727512818MaRDI QIDQ683298
Jan-Joachim Rückmann, Juan Parra, F. Javier Toledo, Maria J. Cánovas
Publication date: 6 February 2018
Published in: Set-Valued and Variational Analysis (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s11228-017-0427-6
Ill-posedness and regularization problems in numerical linear algebra (65F22) Sensitivity, stability, well-posedness (49K40) Sensitivity, stability, parametric optimization (90C31) Linear programming (90C05) Set-valued and variational analysis (49J53)
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Cites Work
- Unnamed Item
- Outer limit of subdifferentials and calmness moduli in linear and nonlinear programming
- Calmness modulus of fully perturbed linear programs
- Calmness of the feasible set mapping for linear inequality systems
- Optimization methods and stability of inclusions in Banach spaces
- The sharp Lipschitz constants for feasible and optimal solutions of a perturbed linear program
- Nonsmooth equations in optimization. Regularity, calculus, methods and applications
- Equivalent conditions for local error bounds
- Metric regularity of semi-infinite constraint systems
- Calmness of constraint systems with applications
- Stability of Error Bounds for Convex Constraint Systems in Banach Spaces
- Necessary and Sufficient Conditions for a Local Minimum. 1: A Reduction Theorem and First Order Conditions
- Metric Regularity in Convex Semi-Infinite Optimization under Canonical Perturbations
- Implicit Functions and Solution Mappings
- Some continuity properties of polyhedral multifunctions
- Sharp Lipschitz Constants for Basic Optimal Solutions and Basic Feasible Solutions of Linear Programs
- Variational Analysis
- Metric regularity and subdifferential calculus
- Metric Regularity and Constraint Qualifications for Convex Inequalities on Banach Spaces
- Error bounds for solutions of linear equations and inequalities
- Calmness Modulus of Linear Semi-infinite Programs
- Characterizations of error bounds for lower semicontinuous functions on metric spaces
