Two new generalized iteration methods for solving absolute value equations using $ M $-matrix-Reference-Cited by-同舟云学术

Two new generalized iteration methods for solving absolute value equations using $ M $-matrix

Published:2022 Issue:5 Volume:7 Page:8176-8187
ISSN:2473-6988
Container-title:AIMS Mathematics
language:
Short-container-title:MATH

Author:

Ali Rashid, ,Khan Ilyas,Ali Asad,Mohamed Abdullah, ,

Abstract

<abstract><p>In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations $ Ax-| x | = b, $ where $ A $ is an $ M $-matrix. Furthermore, we demonstrate their convergence under specific assumptions. Numerical tests indicate the efficiency of the suggested methods with suitable parameters.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

General Mathematics

Reference43 articles.

1. J. Feng, S. Liu, An improved generalized Newton method for absolute value equations, SpringerPlus, 5 (2016), 1042. https://doi.org/10.1186/s40064-016-2720-5

2. J. Feng, S. Liu, A new two-step iterative method for solving absolute value equations, J. Inequal. Appl., 2019 (2019), 39. https://doi.org/10.1186/s13660-019-1969-y

3. L. Abdallah, M. Haddou, T. Migot, Solving absolute value equation using complementarity and smoothing functions, J. Comput. Appl. Math., 327 (2018), 196–207. https://doi.org/10.1016/j.cam.2017.06.019

4. F. Mezzadri, On the solution of general absolute value equations, Appl. Math. Lett., 107 (2020), 106462. https://doi.org/10.1016/j.aml.2020.106462

5. I. Ullah, R. Ali, H. Nawab, Abdussatar, I. Uddin, T. Muhammad, et al., Theoretical analysis of activation energy effect on prandtl–eyring nanoliquid flow subject to melting condition, J. Non-Equil. Thermody., 47 (2022), 1–12. https://doi.org/10.1515/jnet-2020-0092

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