@article{0a0cbf0f7ea243458e4ac6831182ada7,
title = "The SC1 property of the squared norm of the SOC Fischer-Burmeister function",
abstract = "We show that the gradient mapping of the squared norm of Fischer-Burmeister function is globally Lipschitz continuous and semismooth, which provides a theoretical basis for solving nonlinear second-order cone complementarity problems via the conjugate gradient method and the semismooth Newton's method.",
keywords = "Lipschitz continuity, Merit function, Second-order cone, Semismoothness, Spectral factorization",
author = "Chen, {Jein Shan} and Defeng Sun and Jie Sun",
note = "Funding Information: Jein-Shan Chen is a member of Mathematics Division, National Center for Theoretical Sciences, Taipei Office and his research is partially supported by the National Science Council of Taiwan. The research of Defeng Sun is partially supported by the Academic Research Fund under Grant No. R-146-000-104-112 of the National University of Singapore. The research of Jie Sun is partially supported by Singapore-MIT Alliance.",
year = "2008",
month = may,
doi = "10.1016/j.orl.2007.08.005",
language = "English",
volume = "36",
pages = "385--392",
journal = "Operations Research Letters",
issn = "0167-6377",
publisher = "Elsevier",
number = "3",
}