Abstract : This paper presents some examples of ill-behaved central paths in convex optimization. Some contain infinitely many fixed length central segments; others manifest oscillations with infinite variation. These central paths can be encountered even for infinitely differentiable data.
https://hal.inria.fr/inria-00072443 Contributor : Rapport de Recherche InriaConnect in order to contact the contributor Submitted on : Wednesday, May 24, 2006 - 9:58:26 AM Last modification on : Friday, February 4, 2022 - 3:13:57 AM Long-term archiving on: : Sunday, April 4, 2010 - 11:07:49 PM
Jean Charles Gilbert, Clóvis C. Gonzaga, Elizabeth Karas. Examples of Ill-Behaved Central Paths in Convex Optimization. [Research Report] RR-4179, INRIA. 2001. ⟨inria-00072443⟩