The semi-convergence of generalized SSOR method for singular augmented systems

Authors:
Jianlei Li;Tingzhu Huang
Affiliations:
School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China;School of Applied Mathematics, University of Electronic Science and Technology of China, Chengdu, Sichuan, P.R. China
Venue:
HPCA'09 Proceedings of the Second international conference on High Performance Computing and Applications
Year:
2009

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Abstract

Recently, Zhang and Lu proposed the generalized symmetric SOR (GSSOR) method for solving the nonsingular augmented systems and studied the convergence of the GSSOR method. In this paper, we prove the semi-convergence of the GSSOR method when it is applied to solve the singular augmented systems, which is the generalization of the GSSOR iteration method.