Optimal Parameter in Hermitian and Skew-Hermitian Splitting Method for Certain Two-by-Two Block Matrices

Authors:
Zhong-Zhi Bai;Gene H. Golub.;Chi-Kwong Li
Affiliations:
-;-;-
Venue:
SIAM Journal on Scientific Computing
Year:
2006

Citing 0
Cited 15

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Semi-convergence analysis of Uzawa methods for singular saddle point problems

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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.