Iterative refinement of computing inverse matrix

Abstract

This work discusses the iterative refinement for finding the numerical inverse of a given non-singular matrix. The algorithm and convergence analysis of the iterative procedures are presented. Numerical examples are given to show the effectiveness of the iterative refinement.

Keywords:

• matrix inversion
• iterative improvement of numerical inverse matrix computation

2000 Mathematics Subject Classifications :

• Primary: 65F10
• 65F30

Acknowledgements

The authors are sincerely thankful to the referees for their kind and valuable comments of revision that make the representation of the paper more precise. This work was supported by NSFC (60573157) and NSFC(10771099).