Title
Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices
Abstract
The optimal parameter of the Hermitian/skew-Hermitian splitting (HSS) iteration method for a real two-by-two linear system is obtained. The result is used to determine the optimal parameters for linear systems associated with certain two-by-two block matrices and to estimate the optimal parameters of the HSS iteration method for linear systems with n-by-n real coefficient matrices. Numerical examples are given to illustrate the results.
Year
DOI
Venue
2006
10.1137/050623644
SIAM J. Scientific Computing
Keywords
Field
DocType
skew-hermitian splitting,n-by-n real coefficient matrix,iteration method,certain two-by-two block matrix,skew-hermitian splitting method,real two-by-two linear system,hss iteration method,optimal parameter,linear system,certain two-by-two block matrices,numerical example,hermitian matrix,skew hermitian matrix
Linear system,Matrix (mathematics),Skew-Hermitian matrix,Mathematical analysis,Optimal estimation,Numerical analysis,Hermitian matrix,Block matrix,Mathematics,Numerical linear algebra
Journal
Volume
Issue
ISSN
28
2
1064-8275
Citations 
PageRank 
References 
88
3.12
12
Authors
3
Name
Order
Citations
PageRank
Zhong-Zhi Bai12321148.59
Gene H. Golub22558856.07
Chi-Kwong Li331329.81