Title
A modified positive-definite and skew-Hermitian splitting preconditioner for generalized saddle point problems from the Navier-Stokes equation
Abstract
In this paper, we extend the relaxed positive-definite and skew-Hermitian splitting preconditioner (RPSS) for generalized saddle-point problems in [J.-L. Zhang, C.-Q. Gu and K. Zhang, Appl. Math. Comput. 249(2014)468-479] by introducing an additional parameter. The spectral properties of the presented new preconditioned matrix for generalized saddle-point problem are investigated, meanwhile, the infinite termination merit of the iterative step is also discussed if the Krylov subspace method preconditioned by the modified positive-definite and skew-Hermitian splitting preconditioner (MPSS) is applied. Some numerical experiments illustrate that the efficiency of the proposed new preconditioner.
Year
DOI
Venue
2016
10.1007/s11075-015-0043-1
Numerical Algorithms
Keywords
Field
DocType
Saddle-point problems,MPSS preconditioner,Spectral properties,Krylov subspace,numerical test,65F10,65F30,65F50
Saddle,Krylov subspace,Mathematical optimization,Saddle point,Preconditioner,Matrix (mathematics),Mathematical analysis,Skew-Hermitian matrix,Positive-definite matrix,Mathematics,Stokes flow
Journal
Volume
Issue
ISSN
72
1
1017-1398
Citations 
PageRank 
References 
5
0.47
32
Authors
2
Name
Order
Citations
PageRank
yajun xie150.47
Changfeng Ma219729.63