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An Improved Convergence Theorem of the Newton-Based AOR Method for Generalized Absolute Value Equations

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For solving the large sparse generalized absolute value equations, recently a Newton-based accelerated over-relaxation (NAOR) method was investigated. In this paper, we widen the convergence regions for the parameters and… Click to show full abstract

For solving the large sparse generalized absolute value equations, recently a Newton-based accelerated over-relaxation (NAOR) method was investigated. In this paper, we widen the convergence regions for the parameters and establish a new convergence theorem of the NAOR method when the system matrix is an H+-matrix. Numerical examples demonstrate that the NAOR method has a better convergence performance when the parameters are taken according to the proposed convergence theorem.

Keywords: convergence; convergence theorem; method; absolute value; generalized absolute

Journal Title: Symmetry
Year Published: 2022

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