ScholarLens Back to search
2003•Journal of Sichuan Normal UniversityRequires access

Dividing-Conquering Strategy with Row Action Method for Systems of Linear Algebraic Equations

Ben Yang

Open publisher page 0 citations

Abstract

By using the row action method and the dividingconquering strategy, this paper puts forward an iterative dividingconquering algorithm to solve arbitrary systems of linear algebraic equations AX=b(A∈Rn×m). It is proved that the algorithm is convergent for arbitrary consistent systems of linear algebraic equation. The acceleration techniques of the algorithm and its prospective application to MIMD parallel iterative algorithm for the system of linear algebraic equations are discussed.

About this research paper

What this paper is about

By using the row action method and the dividingconquering strategy, this paper puts forward an iterative dividingconquering algorithm to solve arbitrary systems of linear algebraic equations AX=b(A∈Rn×m). It is proved that the algorithm is convergent for arbitrary consistent systems of linear algebraic equation. The acceleration techniques of the algorithm and its prospective application to MIMD parallel iterative algorithm for the system of linear algebraic equations are discussed.

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 the row action method and the dividingconquering strategy, this paper puts forward an iterative dividingconquering algorithm to solve arbitrary systems of linear algebraic equations AX=b(A∈Rn×m). It is proved that the algorithm is convergent for arbitrary consistent systems of linear algebraic equation. The acceleration techniques of the algorithm and its prospective application to MIMD parallel iterative algorithm for the system of linear algebraic equations are discussed.

Key concepts: Algebraic equation, System of linear equations, Linear equation, Linear system, MIMD, Action (physics), Algebraic number, Iterative method

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Dividing-Conquering Strategy with Row Action Method for Systems of Linear Algebraic Equations — Research Paper | ScholarLens