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A GENERALIZED SIMPLIFIED HERMITIAN AND SKEW-HERMITIAN SPLITTING PRECONDITIONER FOR DOUBLE SADDLE POINT PROBLEMS
- Authors: Meng L.1, He Y.W.2,1, Li J.1
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Affiliations:
- College of Mathematics and Statistics, Northwest Normal University
- Institute for Advanced Study in History of Science, Northwest University
- Issue: Vol 63, No 5 (2023)
- Pages: 715
- Section: General numerical methods
- URL: https://cardiosomatics.ru/0044-4669/article/view/664845
- DOI: https://doi.org/10.31857/S0044466923050149
- EDN: https://elibrary.ru/DXFIAI
- ID: 664845
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Abstract
In this work, we mainly propose a generalized simplified Hermitian and skew-Hermitian splitting (GSHSS) preconditioner for solving double saddle point problems and the eigenvalue distribution of the GSHSS preconditioner is analyzed in detail. In addition, we also study the eigenvector distribution and the degree of the minimal polynomial of the preconditioned matrix. Finally, numerical experiments show the effectiveness of the proposed preconditioner.
About the authors
L. Meng
College of Mathematics and Statistics, Northwest Normal University
Email: heyuwen18793436582@163.com
730070, Lanzhou, China
Y. W. He
Institute for Advanced Study in History of Science, Northwest University; College of Mathematics and Statistics, Northwest Normal University
Email: heyuwen18793436582@163.com
710127, Xi’an, China; 730070, Lanzhou, China
J. Li
College of Mathematics and Statistics, Northwest Normal University
Author for correspondence.
Email: heyuwen18793436582@163.com
730070, Lanzhou, China
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