Year: 2017
Author: Quan-Yu Dou, Ze-Yu Liao, Zeng-Qi Wang, Jun-Feng Yin
Journal of Mathematical Study, Vol. 50 (2017), Iss. 4 : pp. 358–374
Abstract
For the iteration solution of singular generalized saddle point problems, a fast shift-splitting iteration method based on shift-splitting technique and symmetric and skew-symmetric splitting with respect to the upper-left block of the system matrix is proposed in this paper. Semi-convergence of the proposed method is carefully studied for singular case, and the conditions guaranteeing the semi-convergence are derived. Numerical experiments of a class of linearized Navier-Stokes equations are implemented to demonstrate the feasibility and effectiveness of the proposed method.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jms.v50n4.17.05
Journal of Mathematical Study, Vol. 50 (2017), Iss. 4 : pp. 358–374
Published online: 2017-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 17
Keywords: Shift-splitting iteration method singular generalized saddle point problems semi-convergence.