Modified Picard-like Method for Solving Absolute Value Equations

Yuan Liang and Chaoqian Li ()
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Yuan Liang: School of Mathematics and Computer Science, Yunnan Minzu University, Kunming 650504, China
Chaoqian Li: School of Mathematics and Statistics, Yunnan University, Kunming 650504, China

Mathematics, 2023, vol. 11, issue 4, 1-18

Abstract: We present a modified Picard-like method to solve absolute value equations by equivalently expressing the implicit fixed-point equation form of the absolute value equations as a two-by-two block nonlinear equation. This unifies some existing matrix splitting algorithms and improves the efficiency of the algorithm by introducing the parameter ω . For the choice of ω in the new method, we give a way to determine the quasi-optimal values. Numerical examples are given to show the feasibility of the proposed method. It is also shown that the new method is better than those proposed by Ke and Ma in 2017 and Dehghan and Shirilord in 2020.

Keywords: splitting; absolute value equation; Picard-like method; iteration (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2023
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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