TY - JOUR
T1 - Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems
AU - Bashirizadeh , Maryam
AU - Hajarian , Masoud
JO - Numerical Mathematics: Theory, Methods and Applications
VL - 3
SP - 592
EP - 619
PY - 2022
DA - 2022/07
SN - 15
DO - http://doi.org/10.4208/nmtma.OA-2021-0131
UR - https://global-sci.org/intro/article_detail/nmtma/20808.html
KW - Linear complementarity problem, modulus-based method, two-step, two sweep,
$H_+$-matrix, convergence.
AB - <p style="text-align: justify;">Linear complementarity problems have drawn considerable attention in
recent years due to their wide applications. In this article, we introduce the two-step
two-sweep modulus-based matrix splitting (TSTM) iteration method and two-sweep
modulus-based matrix splitting type II (TM II) iteration method which are a combination of the two-step modulus-based method and the two-sweep modulus-based
method, as two more effective ways to solve the linear complementarity problems.
The convergence behavior of these methods is discussed when the system matrix is
either a positive-definite or an $H_+$-matrix. Finally, numerical experiments are given
to show the efficiency of our proposed methods.</p>