A Twisted Block Tangential Filtering Decomposition Preconditioner. (23rd March 2009)

• Record Type: Journal Article
• Authors: Wang, Ruirui; Niu, Qiang; Lu, Linzhang
• Other Names: Nohara Ben T. Academic Editor.
• Is Part Of: Mathematical problems in engineering. Volume 2009(2009)
• Publication Date: 2009-03-23
• Subjects: Engineering mathematics -- Periodicals; 510.2462
• DOI: 10.1155/2009/282307
• Languages: English
• ISSNs: 1024-123X

Abstract

Abstract : For block-tridiagonal linear system of equations, a variant of tangential filtering preconditioners is proposed in this paper. The new variant is based on a twisted block factorization along with certain filtering property. For practical usage, a class of composite preconditioners tested, which are constructed by combining the twisted tangential filtering decomposition preconditioner with the classicalI L U ( 0 ) preconditioner in a multiplicative way. The performance of the new preconditioners is compared with other classical preconditioners; the superiority and the weakness of the preconditioners are pointed out.