ScholarLens Back to search
2011•Journal of Jinggangshan UniversityRequires access

CONVERGENCE OF THE NEW PRECONDITIONED AOR ITERATIVE METHOD

Wenbin Guo

Open publisher page 1 citations

Abstract

In this paper,we discuss the convergence of a new preconditioned AOR iterative method for Z-matrices linear systems.We consider two different AOR-type splittings for the coefficient matrix of the preconditioned AOR iterative method.Furthermore,we obtain comparison theorems of the convergence rates between the corresponding AOR iterative method of the two splittings and the basic AOR iterative method respectively.Finally,we get the comparison results of the convergence rates between the corresponding AOR iterative methods of the two splittings.

About this research paper

What this paper is about

In this paper,we discuss the convergence of a new preconditioned AOR iterative method for Z-matrices linear systems.We consider two different AOR-type splittings for the coefficient matrix of the preconditioned AOR iterative method.Furthermore,we obtain comparison theorems of the convergence rates between the corresponding AOR iterative method of the two splittings and the basic AOR iterative method respectively.Finally,we get the comparison results of the convergence rates between the corresponding AOR iterative methods of the two splittings.

Why it matters

OpenAlex reports 1 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

In this paper,we discuss the convergence of a new preconditioned AOR iterative method for Z-matrices linear systems.We consider two different AOR-type splittings for the coefficient matrix of the preconditioned AOR iterative method.Furthermore,we obtain comparison theorems of the convergence rates between the corresponding AOR iterative method of the two splittings and the basic AOR iterative method respectively.Finally,we get the comparison results of the convergence rates between the corresponding AOR iterative methods of the two splittings.

Key concepts: Iterative method, Convergence (economics), Mathematics, Applied mathematics, Local convergence, Rate of convergence, Coefficient matrix, Matrix (chemical analysis)

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
CONVERGENCE OF THE NEW PRECONDITIONED AOR ITERATIVE METHOD — Research Paper | ScholarLens