Generalized accelerated AOR splitting iterative method for generalized saddle point problems

Generalized accelerated AOR (GAAOR) splitting iterative method for the generalized saddle point problems is proposed in this paper. The iterative scheme and the convergence of the GAAOR splitting method are researched. The eigenvalues distributions of its preconditioned matrix is discussed under {tw...

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Bibliographic Details
Published inAIMS mathematics Vol. 7; no. 5; pp. 7625 - 7641
Main Author Xiong, Jin-Song
Format Journal Article
LanguageEnglish
Published AIMS Press 01.01.2022
Subjects
convergence
gaaor splitting iterative method
generalized saddle point problem
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Summary:Generalized accelerated AOR (GAAOR) splitting iterative method for the generalized saddle point problems is proposed in this paper. The iterative scheme and the convergence of the GAAOR splitting method are researched. The eigenvalues distributions of its preconditioned matrix is discussed under {two different choices of the parameter matrix Q}. The resulting GAAOR preconditioner is used to precondition Krylov subspace method such as the restarted generalized minimal residual (GMRES) method for solving the equivalent formulation of the generalized saddle point problems. The theoretical results and effectiveness of the GAAOR splitting iterative method are supported by {some} numerical examples.
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2022428