On the Curvature of the Central Path of Linear Programming Theory

On the Curvature of the Central Path of Linear Programming Theory

We prove a linear bound on the average total curvature of the central path of linear programming theory in terms of the number of independent variables of the primal problem, and independent of the number of constraints. [PUBLICATION ABSTRACT]

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Veröffentlicht in:Foundations of computational mathematics 2005-04, Vol.5 (2), p.145-171
Hauptverfasser: Dedieu, Jean-Pierre, Malajovich, Gregorio, Shub, Mike
Format: Artikel
Sprache:eng
Schlagworte:
Geometry
Integrals
Linear programming
Theory
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Zusammenfassung:We prove a linear bound on the average total curvature of the central path of linear programming theory in terms of the number of independent variables of the primal problem, and independent of the number of constraints. [PUBLICATION ABSTRACT]
ISSN:1615-3375
1615-3383
DOI:10.1007/s10208-003-0116-8