@article{975e21904219413e8c58f93bb3090f4e,
title = "Lipschitz continuity of the gradient of a one-parametric class of SOC merit functions",
abstract = "In this article, we show that a one-parametric class of SOC merit functions has a Lipschitz continuous gradient; and moreover, the Lipschitz constant is related to the parameter in this class of SOC merit functions. This fact will lay a building block when the merit function approach as well as the Newton-type method are employed for solving the second-order cone complementarity problem with this class of merit functions.",
keywords = "Lipschitz continuity, Merit function, Second-order cone, Spectral factorization",
author = "Chen, {Jein Shan} and Shaohua Pan",
note = "Funding Information: 1. Member of Mathematics Division, National Center for Theoretical Sciences, Taipei Office. The author{\textquoteright}s work is partially supported by National Science Council of Taiwan. E-mail: jschen@math.ntnu.edu.tw.",
year = "2010",
month = jul,
doi = "10.1080/02331930802180319",
language = "English",
volume = "59",
pages = "661--676",
journal = "Optimization",
issn = "0233-1934",
publisher = "Taylor and Francis Ltd.",
number = "5",
}