Multi-parameters overrelaxation (MPOR) method for solving linear systems¹

¹Project supported by Natural Science Foundation of Jiangsu Province Education Commission.

Abstract

This paper presents the multi-parameters overrelaxation (MPOR) method, whose special cases involve many classical iterative methods, for solving linear systems of equations. The convergence conditions with A being a Hermitian matrix, an L-matrix and an H-matrix are derived. The results here imply many well-known statements for the classical iterative methods.

Keywords:

• MPOR iterative method
• linear systems of equations
• convergence
• Hermitian matrix
• L-matrix
• H-matrix

C.R. Categories:

• G.1.3

¹Project supported by Natural Science Foundation of Jiangsu Province Education Commission.

¹Project supported by Natural Science Foundation of Jiangsu Province Education Commission.

Notes

¹Project supported by Natural Science Foundation of Jiangsu Province Education Commission.