ABSTRACT
It is shown in this paper that the Schur complements and the diagonal-Schur complements of DZ-type matrices are DZ-type matrices under some conditions. A numerical example for solving the linear equations with the coefficient matrix being a DZ-type matrix is given to show that the Schur-based Gauss–Seidel iteration method and the Schur-based conjugate gradient method can compute out the solution faster.
Acknowledgments
The authors are grateful to the anonymous referees and Handling Editor Professor Rajesh Pereira for their more than one hundred constructive comments and suggestions, which greatly improve our manuscript.
Disclosure statement
No potential conflict of interest was reported by the authors.