A class of generalized relaxed PSS preconditioners for generalized saddle point problems. (August 2016)

• Record Type: Journal Article
• Authors: Dong, Yongxin; Gu, Chuanqing
• Is Part Of: Applied mathematics letters. Volume 58(2016:Aug.)
• Page Start: 125
• Page End: 132
• Publication Date: 2016-08
• Subjects: Generalized saddle point problems -- Positive semi-definite and skew-Hermitian splitting (PSS) preconditioner -- Generalized relaxed PSS (GRPSS) preconditioner; Applied mathematics -- Periodicals; 519.05
• DOI: 10.1016/j.aml.2016.02.012
• Languages: English
• ISSNs: 0893-9659

Abstract

Abstract: In this paper we introduce a class of generalized relaxed positive semi-definite and skew-Hermitian splitting (GRPSS) preconditioners for generalized saddle point problems. Properties of the preconditioned matrix are analyzed and compared with those of the closely related positive semi-definite and skew-Hermitian (PSS) preconditioner introduced by Shen (2014). Numerical results of a model Navier–Stokes equation demonstrate the effectiveness of the proposed preconditioners.