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

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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.

作者简介

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

编辑信件的主要联系方式.
Email: heyuwen18793436582@163.com
730070, Lanzhou, China

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版权所有 © L. Meng, Y.W. He, J. Li, 2023