Solving EP singular linear systems

Abstract

In this article, we deal with EP matrix and EP singular linear systems. We give some properties of EP matrix and its generalized inverse, analyze the solutions of EP systems and make some applications in Navier-Stokes equations.

Keywords:

• EP matrix
• EP singular linear systems
• Generalized inverse
• Perturbation
• Navier-Stokes equations

Acknowledgement

The first author would like to thank Professor Zhihao Cao for his painstaking instruction while the author was a PhD student of Institute of Mathematics, Fudan University, Shanghai, P.R. China. The authors were supported by the National Natural Science Foundation of China and Shanghai Education Committee.