TY - JOUR
T1 - The AOR-Base Splitting Modified Fixed Point Iteration for Solving Absolute Value Equations
AU - Ma , Changfeng
AU - Kang , Jing
JO - Communications in Mathematical Research 
VL - 3
SP - 261
EP - 274
PY - 2024
DA - 2024/09
SN - 40
DO - http://doi.org/10.4208/cmr.2024-0009
UR - https://global-sci.org/intro/article_detail/cmr/23412.html
KW - Absolute value equation, modified point iteration, convergence analysis,
numerical experiment.
AB - <p style="text-align: justify;">Recently, Yu et al. presented a modified fixed point iterative (MFPI)
method for solving large sparse absolute value equation (AVE). In this paper,
we consider using accelerated overrelaxation (AOR) splitting to develop the
modified fixed point iteration (denoted by MFPI-JS and MFPI-GSS) methods
for solving AVE. Furthermore, the convergence analysis of the MFPI-JS and
MFPI-GSS methods for AVE are also studied under suitable restrictions on the
iteration parameters, and the functional equation between the parameter $\tau$ and
matrix $Q.$ Finally, numerical examples show that the MFPI-JS and MFPI-GSS
are efficient iteration methods.</p>