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International Journal of Computer Mathematics Volume 86, 2009 - Issue 8
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Section B

SSOR-like methods for saddle point problems

Bing Zheng School of Mathematics and Statistics, Lanzhou University, Lanzhou, People's Republic of ChinaCorrespondence[email protected]
,
Ke Wang Department of Mathematics, Shanghai University, Shanghai, People's Republic of China
&
Yujiang Wu School of Mathematics and Statistics, Lanzhou University, Lanzhou, People's Republic of China
Pages 1405-1423 | Received 27 Nov 2007, Accepted 30 Nov 2007, Published online: 17 Jun 2009

References

  • Bai , Z.-Z. , Parlett , B. N. and Wang , Z.-Q. 2005 . On generalized successive overrelaxation methods for augmented linear systems . Numer. Math. , 102 : 1 – 38 .
  • Barlow , J. L. , Nichols , N. K. and Plemmons , R. J. 1988 . Iterative methods for equality-constrained least squares problems . SIAM J. Sci. Statist. Comput. , 9 : 892 – 906 .
  • Benzi , M. 1993 . Solution of equality-constrained quadratic programming problems by a projection iterative method . Rend. Mat. Appl. , 13 : 275 – 296 .
  • Benzi , M. , Golub , G. H. and Liesen , J. 2005 . Numerical solution of saddle point problems . Acta Numerica , 14 : 1 – 137 .
  • Björck , Å. 1997 . Numerical stability of methods for solving augmented systems . Contemp. Math. , 204 : 51 – 60 .
  • Chen , X. 1998 . On preconditioned Uzawa methods and SOR methods for saddle point problems . J. Comput. Appl. Math. , 100 : 207 – 224 .
  • Golub , G. H. , Wu , X. and Yuan , J.-Y. 2001 . SOR-like methods for augmented systems . BIT , 41 : 71 – 85 .
  • Li , C. 2003 . A note on an SOR-like method for augmented systems . IMA J. Numer. Anal. , 23 : 581 – 592 .
  • Li , Z. 2005 . Two-parameter GSOR method for the augmented system . Int. J. Comput. Math. , 82 : 1033 – 1042 .
  • Li , C. 2004 . Optimum parameter for the SOR-like method for augmented systems . Int. J. Comput. Math. , 81 : 749 – 764 .
  • Plemmons , R. J. 1986 . A parallel block iterative scheme applied to computations in structural analysis . SIAM J. Algebraic Discrete Meth. , 7 : 337 – 347 .
  • Strikwerda , J. C. 1984 . An iterative method for solving finite difference approximations to the Stokes equations . SIAM J. Numer. Anal. , 21 : 447 – 458 .
  • Sun , J.-G. 1999 . Structured backward errors for KKT systems . Linear Algebra Appl. , 288 : 75 – 88 .
  • Wei , Y. , Yu , X. and Zhang , R. 2004 . Preconditioned conjugate gradient method and generalized successive over relaxation method for the weighted least squares problems . Int. J. Comput. Math. , 81 : 203 – 214 .
  • Wu , X. , Silva , B. P.B. and Yuan , J. Y. 2001 . Conjugate gradient method for rank deficient saddle point problems . Numer. Algorithms , 35 : 139 – 154 .
  • Young , D. M. 1971 . Iterative Solution of Large Linear Systems , New York : Academic Press .

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