A generalization of the Gauss-Seidel iteration method for generalized absolute value equations

Cairong Chen; Changfeng Ma; Jiayu Liu; Linjie Chen; Tingting Luo

arxiv: 2505.01293 · v1 · pith:ZRQNXNBMnew · submitted 2025-05-02 · 🧮 math.NA · cs.NA

A generalization of the Gauss-Seidel iteration method for generalized absolute value equations

Tingting Luo , Jiayu Liu , Cairong Chen , Linjie Chen , Changfeng Ma This is my paper

classification 🧮 math.NA cs.NA

keywords methodabsoluteequationsgauss-seidelgeneralizationgeneralizedresultsvalue

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A parameter-free method, namely the generalization of the Gauss-Seidel (GGS) method, is developed to solve generalized absolute value equations. Convergence of the proposed method is analyzed. Numerical results are given to demonstrate the effectiveness and efficiency of the GGS method. Some results in the recent work of Edalatpour et al. \cite{edhs2017} are extended.

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A generalization of the Gauss-Seidel iteration method for generalized absolute value equations

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