ScholarLens Back to search
2015•Journal of Hunan Institute of Science and TechnologyRequires access

The Convergence Discussion of the AOR Precondition Iterative Methods for H-matrices

Li Bi

Open publisher page 1 citations

Abstract

This paper firstly presents the convergence analysis of AOR-type iterative method for solving linear systems with H-matrices by using matrix iterative analysis and comparison theorems; then gets the relations between the size of relaxation factor ? and the rate of convergence when the acceleration factor ? is constant. Finally, the author verifies his conclusions through two numerical examples.

About this research paper

What this paper is about

This paper firstly presents the convergence analysis of AOR-type iterative method for solving linear systems with H-matrices by using matrix iterative analysis and comparison theorems; then gets the relations between the size of relaxation factor ? and the rate of convergence when the acceleration factor ? is constant. Finally, the author verifies his conclusions through two numerical examples.

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

This paper firstly presents the convergence analysis of AOR-type iterative method for solving linear systems with H-matrices by using matrix iterative analysis and comparison theorems; then gets the relations between the size of relaxation factor ? and the rate of convergence when the acceleration factor ? is constant. Finally, the author verifies his conclusions through two numerical examples.

Key concepts: Precondition, Convergence (economics), Iterative method, Relaxation (psychology), Applied mathematics, Rate of convergence, Constant (computer programming), Acceleration

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Convergence Discussion of the AOR Precondition Iterative Methods for H-matrices — Research Paper | ScholarLens