Title
On the preconditioning of matrices with skew-symmetric splittings
Abstract
The rates of convergence of iterative methods with standard preconditioning techniques usually degrade when the skew-symmetric part S of the matrix is relatively large. In this paper, we address the issue of preconditioning matrices with such large skew-symmetric parts. The main idea of the preconditioner is to split the matrix into its symmetric and skew-symmetric parts and to “invert” the (shifted) skew-symmetric matrix. Successful use of the method requires the solution of a linear system with matrix I+S. An efficient method is developed using the normal equations, preconditioned by an incomplete orthogonal factorization.
Year
DOI
Venue
2000
10.1023/A:1016637813615
Numerical Algorithms
Keywords
Field
DocType
preconditioning,skew-symmetry,incomplete orthogonal,factorization
Mathematical optimization,Skew-symmetric matrix,Nonnegative matrix,Mathematical analysis,Matrix (mathematics),Matrix decomposition,Square matrix,Symmetric matrix,Block matrix,Mathematics,Matrix splitting
Journal
Volume
Issue
ISSN
25
1
1572-9265
Citations 
PageRank 
References 
18
4.34
2
Authors
2
Name
Order
Citations
PageRank
Gene H. Golub12558856.07
Denis Vanderstraeten27110.01