AbstractIn this paper, we present the Picard-HSS-SOR iteration method for finding the solution of the absolute value equation (AVE), which is more efficient than the Picard-HSS iteration method for AVE. The convergence results of the Picard-HSS-SOR iteration method are proved under certain assumptions imposed on the involved parameter. Numerical experiments demonstrate that the Picard-HSS-SOR iteration method for solving absolute value equations is feasible and effective.
Abstract
In this paper, based on the shift splitting technique, a shift
splitting (SS) iteration method is presented to solve the
generalized absolute value equations. Convergence conditions of the
SS method are discussed in detail when the involved matrices are
some special matrices. Finally, numerical experiments show the
effectiveness of the proposed method.
<abstract><p>In this paper, to improve the convergence speed of the block-diagonal and anti-block-diagonal splitting (BAS) iteration method, we design a modified BAS (MBAS) method to obtain the numerical solution of the absolute value equation. Theoretical analysis shows that under certain conditions the MBAS method is convergent. Numerical experiments show that the MBAS method is feasible.</p></abstract>