2010•Science Technology and EngineeringRequires access

Preconditioned Gauss-Seidel Iterative Method and Comparison Theorems

Song Dai-cai

Abstract

A new preconditioned matrix is proposed,the convergence of the new preconditioned Gauss-Seidel iterative method is discussed,and some comparison theorems are obtained.Then a numerical example is used to demonstrate the feasibility,explaining precondition iterative method accelerates the convergence of Gauss-Seidel iterative method and is better than(I+R).

About this research paper

What this paper is about

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

Key concepts: Gauss–Seidel method, Precondition, Iterative method, Convergence (economics), Mathematics, Applied mathematics, Gauss, Matrix (chemical analysis)