ScholarLens Back to search
2008•Unpublished venueRequires access

THE CONVERGENCE COMPARISON OF THE AOR AND SOR METHODS USED IN TWO-STAGE ITERATIVE METHODS

Prc Dep

Open publisher page 0 citations

Abstract

When the coefficient matrix of a linear system is(1,1)consistently ordered matrix and the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes,the convergence and the optimum parameters of its AOR iterative method and a comparison between its optimum spectral radius and that of SOR method are shown.Since the AOR and SOR methods have their own advantages respectively under different conditions,how to choose one of them for the convergence of the two-stage iterative methods for the solution of linear system is studied.

About this research paper

What this paper is about

When the coefficient matrix of a linear system is(1,1)consistently ordered matrix and the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes,the convergence and the optimum parameters of its AOR iterative method and a comparison between its optimum spectral radius and that of SOR method are shown.Since the AOR and SOR methods have their own advantages respectively under different conditions,how to choose one of them for the convergence of the two-stage iterative methods for the solution of linear system is studied.

Why it matters

A significance statement is not available in the OpenAlex record.

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

When the coefficient matrix of a linear system is(1,1)consistently ordered matrix and the eigenvalues of its Jacobi matrix are all pure imaginaries or zeroes,the convergence and the optimum parameters of its AOR iterative method and a comparison between its optimum spectral radius and that of SOR method are shown.Since the AOR and SOR methods have their own advantages respectively under different conditions,how to choose one of them for the convergence of the two-stage iterative methods for the solution of linear system is studied.

Key concepts: Spectral radius, Mathematics, Iterative method, Convergence (economics), Applied mathematics, Coefficient matrix, Matrix (chemical analysis), Eigenvalues and eigenvectors

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
THE CONVERGENCE COMPARISON OF THE AOR AND SOR METHODS USED IN TWO-STAGE ITERATIVE METHODS — Research Paper | ScholarLens