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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