The primal-dual second-order cone approximations algorithm for symmetric cone programming

Given any open convex cone K, a logarithmically homogeneous, self-concordant barrier for K and any positive real number r < 1, we associate, with each direction x 2 K, a second-order cone ˆKr(x) containing K. We show that K is the interior of the intersection of the second-order cones ˆKr(x), as...

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Bibliographic Details
Main Author: Chua, Chek Beng.
Other Authors: School of Physical and Mathematical Sciences
Format: Journal Article
Language:English
Published: 2009
Subjects:
Online Access:https://hdl.handle.net/10356/100090
http://hdl.handle.net/10220/4707