The solution of the absolute value equations using two generalized accelerated overrelaxation methods
Rashid Ali, Kejia Pan
Abstract
Finding the solution of the absolute value equations (AVEs) has attracted much attention in recent years. In this paper, we propose and analyze two generalized accelerated overrelaxation (AOR) methods for solving AVEs [Formula: see text], where [Formula: see text] is an [Formula: see text]-matrix. Furthermore, we discuss the convergence of the methods under some suitable assumptions. Numerical results are given to verify the effectiveness of our methods.
Topics & Concepts
Convergence (economics)MathematicsApplied mathematicsMatrix (chemical analysis)Value (mathematics)Initial value problemMathematical analysisStatisticsEconomic growthComposite materialEconomicsMaterials scienceMatrix Theory and AlgorithmsFractional Differential Equations SolutionsIterative Methods for Nonlinear Equations