Title
The BGS-Uzawa and BJ-Uzawa iterative methods for solving the saddle point problem.
Abstract
In this paper, we propose two new iterative methods for solving the nonsingular saddle point problem based on partitioning the coefficient matrix. One is combining the block Gauss–Seidel iterative method with the Uzawa iterative method, and the other one is combining the block Jacobi iterative method with the Uzawa iterative method. Then we study the convergence of the two novel methods under suitable restrictions on the iteration parameters, respectively. Numerical experiments are also presented to illustrate the behavior of the considered algorithms.
Year
DOI
Venue
2015
10.1016/j.amc.2014.12.156
Applied Mathematics and Computation
Keywords
Field
DocType
convergence
Convergence (routing),Mathematical optimization,Saddle point,Jacobi method,Iterative method,Mathematical analysis,Local convergence,Invertible matrix,Mathematics
Journal
Volume
ISSN
Citations 
256
0096-3003
3
PageRank 
References 
Authors
0.39
15
2
Name
Order
Citations
PageRank
Na Huang1243.53
Changfeng Ma219729.63