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Two new generalized iteration methods for solving absolute value equations using M-matrix
Journal article   Open access  Peer reviewed

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

Rashid Ali, Ilyas Khan, Asad Ali, Abdullah Mohamed and Research Centre, Future University in Egypt, New Cairo 11745, Egypt
AIMS mathematics, Vol.7(5), pp.8176-8187
01/01/2022

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
In this paper, we present two new generalized Gauss-Seidel iteration methods for solving absolute value equations Ax - vertical bar x vertical bar = 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.
url
https://doi.org/10.3934/math.2022455View
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