A GENERALIZED SIMPLIFIED HERMITIAN AND SKEW-HERMITIAN SPLITTING PRECONDITIONER FOR DOUBLE SADDLE POINT PROBLEMS
- Авторлар: Meng L.1, He Y.W.2,1, Li J.1
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Мекемелер:
- College of Mathematics and Statistics, Northwest Normal University
- Institute for Advanced Study in History of Science, Northwest University
- Шығарылым: Том 63, № 5 (2023)
- Беттер: 715
- Бөлім: General numerical methods
- URL: https://rjonco.com/0044-4669/article/view/664845
- DOI: https://doi.org/10.31857/S0044466923050149
- EDN: https://elibrary.ru/DXFIAI
- ID: 664845
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
L. Meng
College of Mathematics and Statistics, Northwest Normal University
Email: heyuwen18793436582@163.com
730070, Lanzhou, China
Y. 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
Хат алмасуға жауапты Автор.
Email: heyuwen18793436582@163.com
730070, Lanzhou, China
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