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

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

Fang Chen
, Ning Gao
, Yao Lin Jiang

数学与统计学院

Xi'an Jiaotong University
CAS - Institute of Mechanics

科研成果: 期刊稿件 › 文章 › 同行评审

3 引用（Scopus）

摘要

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.

源语言	英语
页（从-至）	797-809
页数	13
期刊	Numerical Algebra, Control and Optimization
卷	2
期	4
DOI	https://doi.org/10.3934/naco.2012.2.797
出版状态	已出版 - 11月 2012

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title = "On product-type generalized block AOR method for augmented linear systems",

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.",

keywords = "Augmented linear system, Block AOR method, Convergence, Semiconvergence",

author = "Fang Chen and Ning Gao and Jiang, \{Yao Lin\}",

year = "2012",

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doi = "10.3934/naco.2012.2.797",

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AU - Chen, Fang

AU - Gao, Ning

AU - Jiang, Yao Lin

PY - 2012/11

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N2 - 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.

AB - 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.

KW - Augmented linear system

KW - Block AOR method

KW - Convergence

KW - Semiconvergence

UR - https://www.scopus.com/pages/publications/84892582965

U2 - 10.3934/naco.2012.2.797

DO - 10.3934/naco.2012.2.797

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SN - 2155-3289

VL - 2

SP - 797

EP - 809

JO - Numerical Algebra, Control and Optimization

JF - Numerical Algebra, Control and Optimization

IS - 4

ER -

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

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