Title
The nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method for solving nonlinear saddle-point problems
Abstract
This paper mainly consider the construction of efficient Uzawa-type algorithms for solving the nonlinear saddle-point problem (NSPP). Two nonlinear inexact Uzawa hybrid algorithms based on one-step Newton method are proposed for solving the NSPPs. By using the so-called energy-norm, the convergence of the proposed algorithms is verified under some practical conditions. In addition, some numerical results are reported to illustrate the behavior of the considered algorithm.
Year
DOI
Venue
2015
10.1016/j.amc.2015.08.022
Applied Mathematics and Computation
Keywords
Field
DocType
Nonlinear saddle-point problem,Nonlinear inexact Uzawa algorithm,One-step Newton method,Preconditioning
Convergence (routing),Saddle,Mathematical optimization,Nonlinear system,Saddle point,Algorithm,Mathematics,Newton's method
Journal
Volume
Issue
ISSN
270
C
0096-3003
Citations 
PageRank 
References 
1
0.36
22
Authors
2
Name
Order
Citations
PageRank
Na Huang1303.22
Changfeng Ma210016.25