@Article{NMTMA-15-3,
author = {Masoud, Hajarian and Maryam, Bashirizadeh and Masoud, Hajarian},
title = {Two-Step Two-Sweep Modulus-Based Matrix Splitting Iteration Method for Linear Complementarity Problems},
journal = {Numerical Mathematics: Theory, Methods and Applications},
year = {2022},
volume = {15},
number = {3},
pages = {592--619},
abstract = {<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>},
issn = {2079-7338},
doi = {https://doi.org/10.4208/nmtma.OA-2021-0131},
url = {https://global-sci.com/article/90264/two-step-two-sweep-modulus-based-matrix-splitting-iteration-method-for-linear-complementarity-problems}
}