A GENERALIZED SIMPLIFIED HERMITIAN AND SKEW-HERMITIAN SPLITTING PRECONDITIONER FOR DOUBLE SADDLE POINT PROBLEMS

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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.

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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© L. Meng, Y.W. He, J. Li, 2023