On product-type generalized block AOR method for augmented linear systems

Fang Chen; Ning Gao; Yao- Lin Jiang

doi:10.3934/naco.2012.2.797

Article Contents

2012, Volume 2, Issue 4: 797-809. Doi: 10.3934/naco.2012.2.797

This issue Previous Article A multigrid method for the maximal correlation problem Next Article A generalization of the positive-definite and skew-Hermitian splitting iteration

On product-type generalized block AOR method for augmented linear systems

1.
Department of Mathematical Sciences, Xi'an Jiaotong University, Xi'an 710049

Received: December 2011

Revised: August 2012

Published: October 2012

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Abstract

The generalized inexact accelerated overrelaxation ( GIAOR) method was presented by Bai, Parlett and Wang (Numer. Math. 102(2005)1-38) for solving the augmented system of linear equations. In this paper, a product-type generalized block AOR ( PGBAOR ) method is proposed, which is a two-step generalization of the GIAOR method. Both convergence and semi-convergence of the PGBAOR method are proved for the nonsingular and the singular augmented linear systems.

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Mathematics Subject Classification: Primary: 65F10, 65F50.

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