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Volume 32, Issue 4
Preconditioned HSS-Like Iterative Method for Saddle Point Problems

Qingbing Liu, Guoliang Chen & Caiqin Song

DOI: 10.4208/jcm.1403-m4390

J. Comp. Math., 32 (2014), pp. 442-455.

Published online: 2014-08

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  • Abstract

A new HSS-like iterative method is first proposed based on HSS-like splitting of non-Hermitian (1,1) block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspace method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners.  

  • Keywords

Saddle point problem, Non-Hermitian positive definite matrix, HSS-like splitting, Preconditioning.

  • AMS Subject Headings

65F10, 65F50.

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{JCM-32-442, author = {Qingbing Liu, Guoliang Chen and Caiqin Song}, title = {Preconditioned HSS-Like Iterative Method for Saddle Point Problems}, journal = {Journal of Computational Mathematics}, year = {2014}, volume = {32}, number = {4}, pages = {442--455}, abstract = {

A new HSS-like iterative method is first proposed based on HSS-like splitting of non-Hermitian (1,1) block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspace method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners.  

}, issn = {1991-7139}, doi = {https://doi.org/10.4208/jcm.1403-m4390}, url = {http://global-sci.org/intro/article_detail/jcm/9896.html} }
TY - JOUR T1 - Preconditioned HSS-Like Iterative Method for Saddle Point Problems AU - Qingbing Liu, Guoliang Chen & Caiqin Song JO - Journal of Computational Mathematics VL - 4 SP - 442 EP - 455 PY - 2014 DA - 2014/08 SN - 32 DO - http://doi.org/10.4208/jcm.1403-m4390 UR - https://global-sci.org/intro/article_detail/jcm/9896.html KW - Saddle point problem, Non-Hermitian positive definite matrix, HSS-like splitting, Preconditioning. AB -

A new HSS-like iterative method is first proposed based on HSS-like splitting of non-Hermitian (1,1) block for solving saddle point problems. The convergence analysis for the new method is given. Meanwhile, we consider the solution of saddle point systems by preconditioned Krylov subspace method and discuss some spectral properties of the preconditioned saddle point matrices. Numerical experiments are given to validate the performances of the preconditioners.  

Qingbing Liu, Guoliang Chen and Caiqin Song. (2014). Preconditioned HSS-Like Iterative Method for Saddle Point Problems. Journal of Computational Mathematics. 32 (4). 442-455. doi:10.4208/jcm.1403-m4390
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