3 papers
math.NA2024
Solutions for Underdetermined Generalized Absolute Value Equations
Cairong Chen, Xuehua Li, Ren-Cang Li
An underdetermined generalized absolute value equation (GAVE) may have no solution, one solution, finitely many or infinitely many solutions. This paper is concerned with sufficien…
math.NA2023
A generalization of the relaxation-based matrix splitting iterative method for solving the system of generalized absolute value equations
Xuehua Li, Cairong Chen, Deren Han
By incorporating a new matrix splitting and the momentum acceleration into the relaxed-based matrix splitting (RMS) method \cite{soso2023}, a generalization of the RMS (GRMS) itera…
math.NA2023
A generalization of the Newton-based matrix splitting iteration method for generalized absolute value equations
Xuehua Li, Cairong Chen
A generalization of the Newton-based matrix splitting iteration method (GNMS) for solving the generalized absolute value equations (GAVEs) is proposed. Under mild conditions, the G…