Title
A note on semi-convergence of generalized parameterized inexact Uzawa method for singular saddle point problems
Abstract
Recently, Zhang and Wang studied the generalized parameterized inexact Uzawa (GPIU) method for singular saddle point problems, see Zhang and Wang (Appl. Math. Comput. 219:4225---4231, 2013). In this note, we prove the semi-convergence of GPIU method by another method, which has weaken the conditions of GPIU method. Then, we analyze the spectral properties of the corresponding preconditioned matrix. Moreover, for solving singular saddle point problems, we give a preconditioned matrix for GPIU method, numerical experiments are given to illustrate the efficiency of GPIU method with the preconditioned matrix.
Year
DOI
Venue
2015
10.1007/s11075-014-9840-1
Numerical Algorithms
Keywords
Field
DocType
Singular saddle point problems,Parameterized inexact Uzawa method,Semi-convergence,Preconditioned matrix,65F08,65F10,65F35
Convergence (routing),Spectral properties,Mathematical optimization,Parameterized complexity,Saddle point,Mathematical analysis,Matrix (mathematics),Mathematics
Journal
Volume
Issue
ISSN
68
1
1017-1398
Citations 
PageRank 
References 
2
0.36
19
Authors
2
Name
Order
Citations
PageRank
Zhen Chao1173.03
Guoliang Chen230546.48