Abstract
Zheng and Ma recently proposed an efficient upper and lower triangular (ULT) splitting iterative method for solving the large sparse nonsingular saddle point problems; see Zheng and Ma (2016). In this paper, we further prove the semi-convergence of this method when it is applied to solve the large sparse singular saddle point problems under suitable conditions. The characteristic of eigenvalues of the iteration matrix of the ULT method is analyzed. Also, the pseudo-optimal iteration parameters and the corresponding pseudo-optimal semi-convergence factor for some special cases of the ULT method are determined. In addition, numerical experiments are used to show the feasibility and effectiveness of the ULT iterative method for solving singular saddle point problems.
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.