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 - Funding Information:
The author's work is supported by Ministry of Science and Technology, Taiwan.
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 -