ON THE GENERALIZED DETERIORATED POSITIVE SEMI-DEFINITE AND SKEW-HERMITIAN SPLITTING PRECONDITIONER

• 来源期刊: 计算数学（英文版）
• 关键词: Saddle point problem Preconditioner Nonsymmetric Symmetric Positive definite Krylov subspace method
• 年，卷（期）: 2019,（1）
• 页码范围: 18-32
• 页数: 15页
• 语种: 英文
• DOI: 10.4208/jcm.1707-m2016-0730

摘要

For nonsymmetric saddle point problems,Huang et al.in [Numer.Algor.75 (2017),pp.1161-1191] established a generalized variant of the deteriorated positive semi-definite and skew-Hermitian splitting (GVDPSS) preconditioner to expedite the convergence speed of the Krylov subspace iteration methods like the GMRES method.In this paper,some new convergence properties as well as some new numerical results are presented to validate the theoretical results.