The Solution of Absolute Value Equations Using Two New Generalized Gauss-Seidel Iteration Methods. (6th May 2022)

• Record Type: Journal Article
• Authors: Ali, Rashid
• Other Names: Shi Jianming Academic Editor.
• Is Part Of: Computational and mathematical methods. (2022)
• Publication Date: 2022-05-06
• Subjects: Mathematics -- Data processing -- Periodicals; Numerical analysis -- Periodicals; Numerical analysis; Mathematics -- Data processing; Periodicals; 004.0151
• DOI: 10.1155/2022/4266576
• Languages: English
• ISSNs: 2577-7408

Abstract

Abstract : In this paper, we provide two new generalized Gauss-Seidel (NGGS) iteration methods for solving absolute value equations A x − ∣ x ∣ = b, where A ∈ R n × n, b ∈ R n, and x ∈ R n are unknown solution vectors. Also, convergence results are established under mild assumptions. Eventually, numerical results prove the credibility of our approaches.