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S. Wright, “Stability of Augmented System Factoriza- tions in Intrerior-Point Methods,” SIAM Journal of Matrix Analysis and Applications, Vol. 18, No. 1, 1997, pp. 191-222. doi:10.1137/S0895479894271093

has been cited by the following article:

• TITLE: A New Preconditioner with Two Variable Relaxation Parameters for Saddle Point Linear Systems with Highly Singular(1,1) Blocks

  AUTHORS: Yuping Zeng, Chenliang Li

  KEYWORDS: Saddle Point Linear Systems, Block Triangular Preconditioner, Krylov Subspace Methods

  JOURNAL NAME: American Journal of Computational Mathematics, Vol.1 No.4, December 9, 2011

  ABSTRACT: In this paper, we provide new preconditioner for saddle point linear systems with (1,1) blocks that have a high nullity. The preconditioner is block triangular diagonal with two variable relaxation paremeters and it is extension of results in [1] and [2]. Theoretical analysis shows that all eigenvalues of preconditioned matrix is strongly clustered. Finally, numerical tests confirm our analysis.