TY - JOUR
T1 - Unified smoothing functions for absolute value equation associated with second-order cone
AU - Nguyen, Chieu Thanh
AU - Saheya, B.
AU - Chang, Yu Lin
AU - Chen, Jein Shan
N1 - Publisher Copyright:
© 2018 IMACS
PY - 2019/1
Y1 - 2019/1
N2 - In this paper, we explore a unified way to construct smoothing functions for solving the absolute value equation associated with second-order cone (SOCAVE). Numerical comparisons are presented, which illustrate what kinds of smoothing functions work well along with the smoothing Newton algorithm. In particular, the numerical experiments show that the well known loss function widely used in engineering community is the worst one among the constructed smoothing functions, which indicates that the other proposed smoothing functions can be employed for solving engineering problems.
AB - In this paper, we explore a unified way to construct smoothing functions for solving the absolute value equation associated with second-order cone (SOCAVE). Numerical comparisons are presented, which illustrate what kinds of smoothing functions work well along with the smoothing Newton algorithm. In particular, the numerical experiments show that the well known loss function widely used in engineering community is the worst one among the constructed smoothing functions, which indicates that the other proposed smoothing functions can be employed for solving engineering problems.
KW - Absolute value equations
KW - Second-order cone
KW - Smoothing Newton algorithm
UR - http://www.scopus.com/inward/record.url?scp=85053054309&partnerID=8YFLogxK
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U2 - 10.1016/j.apnum.2018.08.019
DO - 10.1016/j.apnum.2018.08.019
M3 - Article
AN - SCOPUS:85053054309
SN - 0168-9274
VL - 135
SP - 206
EP - 227
JO - Applied Numerical Mathematics
JF - Applied Numerical Mathematics
ER -