Abstract
Based on the Gauss–Seidel splitting, we present a new matrix splitting iteration method, called generalized Gauss–Seidel (GGS) iteration method, for solving the large sparse absolute value equation (AVE) Ax−|x|=b where A∈Rn×n and b∈Rn and investigate its convergence properties. Moreover, by preconditioning AVE, a preconditioned variant of the GGS (PGGS) method is presented. Numerical experiments illustrate the efficiency of both GGS and PGGS iterations.
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