A note of Lipschitz constants for solutions of linear inequalities and equations

DOI10.1016/0024-3795(94)00349-1zbMath0860.15015OpenAlexW2085154531MaRDI QIDQ1923226

Diethard Klatte, Gisbert Thiere

Publication date: 13 April 1997

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0024-3795(94)00349-1

zbMATH Keywords

linear equationslinear inequalitiesLipschitz constants

Mathematics Subject Classification ID

Linear inequalities of matrices (15A39) Miscellaneous inequalities involving matrices (15A45) Linear equations (linear algebraic aspects) (15A06)

Related Items (4)

Error bounds for inequality systems defining convex sets ⋮ On smooth relaxations of obstacle sets ⋮ Lipschitz modulus in convex semi-infinite optimizationviad.c. functions ⋮ Comments on: Stability in linear optimization and related topics. A personal tour

Cites Work

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• Well-posed optimization problems
• The distance to a polyhedron
• The sharp Lipschitz constants for feasible and optimal solutions of a perturbed linear program
• Bounds for error in the solution set of a perturbed linear program
• Sensitivity theorems in integer linear programming
• Sharp Lipschitz Constants for Basic Optimal Solutions and Basic Feasible Solutions of Linear Programs
• Perturbation Analysis of a Condition Number for Linear Systems
• Lipschitz Continuity of Solutions of Linear Inequalities, Programs and Complementarity Problems
• Error bounds for solutions of linear equations and inequalities

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