An implementation of the method of analytic centers
Analysis and optimization of systems
Pathways to the optimal set in linear programming
on Progress in Mathematical Programming: Interior-Point and Related Methods
Limiting behavior of the affine scaling continuous trajectories for linear programming problems
Mathematical Programming: Series A and B
A survey of search directions in interior point methods for linear programming
Mathematical Programming: Series A and B - Special issue on interior point methods for linear programming: theory and practice
Limiting behavior of weighted central paths in linear programming
Mathematical Programming: Series A and B
Mathematics of Operations Research
Rim Sensitivity Analysis from an Interior Solution
Rim Sensitivity Analysis from an Interior Solution
Analytic Central Path, Sensitivity Analysis and Parametric Linear Programming
Analytic Central Path, Sensitivity Analysis and Parametric Linear Programming
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While properties of the weighted central path for linear and non-linear programs have been studied for years, the effect that weighting the central path has on its limiting derivatives has not been fully explored. We show that the limiting derivatives of the central path for a linear program are uniformly bounded over a set of normalized weights. Consequently, this allows a similar bound for the marginal derivatives of the analytic center solution with respect to changes in the right-hand side.