ScholarLens Back to search
2007•Journal of Jiangxi Normal UniversityRequires access

The Minimum of Spectral Radius Linear System in Preconditioned

Gang Lei

Open publisher page 0 citations

Abstract

By using matrix spliting analysis and comparison theorems,the spectral radius of the Gauss-Seidel iterative method being the minimum is proved under the condition that the linear systems matrix A is a diagonally dominant L-matrix.That is the Gauss-Seidel iterative method being the fastest iterative method in the AOR method.Last the numerical example is given.

About this research paper

What this paper is about

By using matrix spliting analysis and comparison theorems,the spectral radius of the Gauss-Seidel iterative method being the minimum is proved under the condition that the linear systems matrix A is a diagonally dominant L-matrix.That is the Gauss-Seidel iterative method being the fastest iterative method in the AOR method.Last the numerical example is given.

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

By using matrix spliting analysis and comparison theorems,the spectral radius of the Gauss-Seidel iterative method being the minimum is proved under the condition that the linear systems matrix A is a diagonally dominant L-matrix.That is the Gauss-Seidel iterative method being the fastest iterative method in the AOR method.Last the numerical example is given.

Key concepts: Spectral radius, Mathematics, Iterative method, Diagonally dominant matrix, Gauss–Seidel method, Matrix (chemical analysis), Linear system, M-matrix

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
The Minimum of Spectral Radius Linear System in Preconditioned — Research Paper | ScholarLens