TY - JOUR
T1 - A Relaxation Two-Step Newton-Based Matrix Splitting Iteration Method for Generalized Absolute Value Equations Associated with Circular Cones
AU - Yu , Dongmei
AU - Gao , Yinghui
AU - Chen , Cairong
AU - Han , Deren
JO - East Asian Journal on Applied Mathematics
VL - 1
SP - 138
EP - 162
PY - 2025
DA - 2025/01
SN - 15
DO - http://doi.org/10.4208/eajam.2023-172.281023
UR - https://global-sci.org/intro/article_detail/eajam/23744.html
KW - Generalized absolute value equations, circular cone, Newton-based matrix splitting method, convergence analysis.
AB - <p style="text-align: justify;">A relaxation two-step Newton-based matrix splitting (RTNMS) iteration method is proposed to solve the generalized absolute value equations associated with circular cones (CCGAVE). The convergence of the RTNMS iteration method is investigated
under suitable conditions. Numerical results illustrate that the RTNMS iteration method
is feasible and effective for solving the CCGAVE. Moreover, some sufficient conditions
for the unique solvability of the CCGAVE are given.</p>