Note on predictor–corrector process for ill-conditioned linear system of equations

In [Xinyuan Wu, An effective iterative procedure process for large scale linear system of equations, Appl. Math. Comput., in press], the author proposed a predictor–corrector process for large scale linear system of algebraic equations with ill-conditioned coefficient matrix. Basing on the same principle, this article introduces another iterative process which simplifies and reduces the computational procedure. Numerical experiments are included to show the efficiency of the process.