Modified SSOR-Like Method for Augmented Systems

References

• Darvishi M.T. and Hessari P. Symmetric SOR method for augmented systems . Appl. Math. Comput. , 183 1 : 409 – 415 , 2006 . ISSN 0096-3003 .
   Google Scholar
• Elman , H. and Silvester , D. 1994 . Fast Nonsymmetric Iterations and Preconditioning for Navier–Stokes Equations , Citeseer .
   Google Scholar
• Elman H.C. and Golub G.H. Inexact and preconditioned Uzawa algorithms for saddle point problems . SIAM J. Numer. Anal. , 31 6 : 1645 – 1661 , 1994 . ISSN 0036-1429 . doi: 10.1137/0731085 .
   Web of Science ®Google Scholar
• Fischer B. , Ramage A. , Silvester D.J. and Wathen A.J. Minimum residual methods for augmented systems . BIT , 38 3 : 527 – 543 , 1998 . ISSN 0006-3835 . doi: 10.1007/BF02510258 .
   Google Scholar
• Golub G.H. , Wu X. and Yuan J.Y. SOR-like methods for augmented systems . BIT , 41 1 : 71 – 85 , 2001 . ISSN 0006-3835 . doi: 10.1023/A:1021965717530 .
   Web of Science ®Google Scholar
• Li C. Li Z. Shao X. , Nie Y. and Evans D.J Optimum parameter for the SOR-like method for augmented systems . Int. J. Comput. Math. , 81 6 : 749 – 763 , 2004 . ISSN 0020-7160 . doi: 10.1080/00207160410001688646 .
   Web of Science ®Google Scholar
• Li J. and Kong X. Optimal parameters of GSOR-like methods for solving the augmented linear systems . Appl. Math. Comput. , 204 1 : 150 – 161 , 2008 . ISSN 0096-3003 . doi: 10.1016/j.amc.2008.06.010 .
   Web of Science ®Google Scholar
• Li Z. , Li C. and Evans D.J. Chebyshev acceleration for SOR-like method . Int. J. Comput. Math. , 82 5 : 583 – 593 , 2005 . ISSN 0020-7160 . doi: 10.1080/00207160512331331129 .
   Web of Science ®Google Scholar
• Li Z. , Li C. , Evans D.J. and Zhang T. Two-parameter GSOR method for the augmented system . Int. J. Comput. Math. , 82 8 : 1033 – 1042 , 2005 . ISSN 0020-7160 . doi: 10.1080/00207160500112860 .
   Web of Science ®Google Scholar
• Shao X. , Li Z. and Li C. Modified SOR-like method for the augmented system . Int. J. Comput. Math. , 84 11 : 1653 – 1662 , 2007 . ISSN 0020-7160 . doi: 10.1080/00207160601117313 .
   Web of Science ®Google Scholar
• Wright S. Stability of augmented system factorizations in interior-point methods . SIAM J. Matrix Anal. Appl. , 18 1 : 191 – 222 , 1997 . ISSN 0895-4798 . doi: 10.1137/S0895479894271093 .
   Google Scholar
• Wu S.L. , Huang T.Z. and Zhao X.L. A modified SSOR iterative method for augmented systems . J. Comput. Appl. Math. , 228 1 : 424 – 433 , 2009 . ISSN 0377-0427 . doi: 10.1016/j.cam.2008.10.006 .
   Google Scholar
• Young D.M. Iterative Solution of Large Linear Systems . Dover Publ. , 2003 . ISBN 0486425487 .
   Google Scholar
• Yuan J.Y. and Iusem A.N. Preconditioned conjugate gradient method for generalized least squares problems . J. Comput. Appl. Math. , 71 2 : 287 – 297 , 1996 . ISSN 0377-0427 . doi: 10.1016/0377-0427(95)00239-1 .
   Web of Science ®Google Scholar
• Zhang G.F. and Lu Q. On generalized symmetric SOR method for augmented systems . J. Comput. Appl. Math. , 219 1 : 51 – 58 , 2008 . ISSN 0377-0427 . doi: 10.1016/j.cam.2007.07.001 .
   Google Scholar
• Zheng B. , Wang K. and Wu Y. SSOR-like methods for saddle point problems . Int. J. Comput. Math. , 86 8 : 1405 – 1423 , 2009 . ISSN 0020-7160 . doi: 10.1080/00207160701871835 .
   Web of Science ®Google Scholar