Perturbation Analysis of a Condition Number for Linear Systems
SIAM Journal on Matrix Analysis and Applications
Error bounds in mathematical programming
Mathematical Programming: Series A and B - Special issue: papers from ismp97, the 16th international symposium on mathematical programming, Lausanne EPFL
Mathematical Programming: Series A and B
On the Sensitivity Analysis of Hoffman Constants for Systems of Linear Inequalities
SIAM Journal on Optimization
Error Bounds for Lower Semicontinuous Functions in Normed Spaces
SIAM Journal on Optimization
Perturbation Analysis of Error Bounds for Systems of Conic Linear Inequalities in Banach Spaces
SIAM Journal on Optimization
Weak sharp minima revisited, part II: application to linear regularity and error bounds
Mathematical Programming: Series A and B
Error bounds for convex differentiable inequality systems in Banach spaces
Mathematical Programming: Series A and B
Error bounds for systems of lower semicontinuous functions in Asplund spaces
Mathematical Programming: Series A and B - Nonlinear convex optimization and variational inequalities
SIAM Journal on Optimization
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In this paper, we are concerned with the stability of the error bounds for semi-infinite convex constraint systems. Roughly speaking, the error bound of a system of inequalities is said to be stable if all its “small” perturbations admit a (local or global) error bound. We first establish subdifferential characterizations of the stability of error bounds for semi-infinite systems of convex inequalities. By applying these characterizations, we extend some results established by Azé and Corvellec [SIAM J. Optim., 12 (2002), pp. 913-927] on the sensitivity analysis of Hoffman constants to semi-infinite linear constraint systems.