TY - JOUR
T1 - An Inexact Framework of the Newton-Based Matrix Splitting Iterative Method for the Generalized Absolute Value Equation
AU - Yu , Dongmei
AU - Chen , Cairong
AU - Han , Deren
JO - CSIAM Transactions on Applied Mathematics
VL - 4
SP - 835
EP - 851
PY - 2024
DA - 2024/11
SN - 5
DO - http://doi.org/10.4208/csiam-am.SO-2022-0013
UR - https://global-sci.org/intro/article_detail/csiam-am/23588.html
KW - Generalized absolute value equation, Newton-based matrix splitting method, inexact iterative method, linear convergence.
AB - <p style="text-align: justify;">An inexact framework of the Newton-based matrix splitting (INMS) iterative method is developed to solve the generalized absolute value equation, whose
exact version was proposed by Zhou, Wu and Li [ J. Comput. Appl. Math., 394, 2021].
Global linear convergence of the INMS iterative method is investigated in detail. Some
numerical results are given to show the superiority of the INMS iterative method.</p>