2012•Advanced materials researchOpen access

Generalized Block Triangular Preconditioner for Saddle Point Systems

Shao Hua Cheng, Li Tao Zhang

Abstract

In this paper, based on the preconditioner for saddle point systems in Benzi and Liu [M. Benzi, J. Liu, Block preconditioning for saddle point systems with indefinite (1,1) block, International Journal of Computer Mathematics, 84(8) (2007) 1117-1129], we present the generalized block preconditioner for generalized saddle point systems, which uses some more parameters and is a generalization of Benzi and Liu's block preconditioner. Moreover, spectral properties of our generalized block triangular preconditioner are given.

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Key concepts: Preconditioner, Saddle point, Block (permutation group theory), Saddle, Generalization, Mathematics, Point (geometry), Applied mathematics