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Volumn 102, Issue 1, 2005, Pages 1-38

On generalized successive overrelaxation methods for augmented linear systems

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EID: 27844533528     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-005-0643-0     Document Type: Article
Times cited : (387)

References (30)
  • 4
    • 84989475037 scopus 로고
    • On the convergence of the generalized matrix multisplitting relaxed methods
    • Bai, Z.-Z.: On the convergence of the generalized matrix multisplitting relaxed methods. Comm. Numer. Methods Engrg. 11, 363-371 (1995)
    • (1995) Comm. Numer. Methods Engrg. , vol.11 , pp. 363-371
    • Bai, Z.-Z.1
  • 5
    • 22444452093 scopus 로고    scopus 로고
    • A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations
    • Bai, Z.-Z.: A class of modified block SSOR preconditioners for symmetric positive definite systems of linear equations. Adv. Comput. Math. 10, 169-186 (1999)
    • (1999) Adv. Comput. Math. , vol.10 , pp. 169-186
    • Bai, Z.-Z.1
  • 6
    • 0035732045 scopus 로고    scopus 로고
    • Modified block SSOR preconditioners for symmetric positive definite linear systems
    • Bai, Z.-Z.: Modified block SSOR preconditioners for symmetric positive definite linear systems. Ann. Oper. Res. 103, 263-282 (2001)
    • (2001) Ann. Oper. Res. , vol.103 , pp. 263-282
    • Bai, Z.-Z.1
  • 7
    • 3543005951 scopus 로고    scopus 로고
    • Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems
    • Bai, Z.-Z., Golub, G.H., Pan, J.-Y.: Preconditioned Hermitian and skew-Hermitian splitting methods for non-Hermitian positive semidefinite linear systems. Numer. Math. 98, 1-32 (2004)
    • (2004) Numer. Math. , vol.98 , pp. 1-32
    • Bai, Z.-Z.1    Golub, G.H.2    Pan, J.-Y.3
  • 8
    • 0142168839 scopus 로고    scopus 로고
    • Restrictively preconditioned conjugate gradient methods for systems of linear equations
    • Bai, Z.-Z., Li, G.-Q.: Restrictively preconditioned conjugate gradient methods for systems of linear equations. IMA J. Numer. Anal. 23, 561-580 (2003)
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 561-580
    • Bai, Z.-Z.1    Li, G.-Q.2
  • 9
    • 5844274587 scopus 로고
    • Generalized matrix multisplitting relaxation methods and their convergence
    • Bai, Z.-Z., Wang, D.-R.: Generalized matrix multisplitting relaxation methods and their convergence. Numer. Math. J. Chinese Univ. (English Ser.) 2, 87-100 (1993)
    • (1993) Numer. Math. J. Chinese Univ. (English Ser.) , vol.2 , pp. 87-100
    • Bai, Z.-Z.1    Wang, D.-R.2
  • 10
    • 0001341650 scopus 로고    scopus 로고
    • Analysis of the inexact Uzawa algorithm for saddle point problems
    • Bramble, J.H., Pasciak, J.E., Vassilev, A.T.: Analysis of the inexact Uzawa algorithm for saddle point problems. SIAM J. Numer. Anal. 34, 1072-1092 (1997)
    • (1997) SIAM J. Numer. Anal. , vol.34 , pp. 1072-1092
    • Bramble, J.H.1    Pasciak, J.E.2    Vassilev, A.T.3
  • 12
    • 0030246195 scopus 로고    scopus 로고
    • Conjugate gradient methods for Toeplitz systems
    • Chan, R.H., Ng, M.K.: Conjugate gradient methods for Toeplitz systems. SIAM Rev. 38, 427-482 (1996)
    • (1996) SIAM Rev. , vol.38 , pp. 427-482
    • Chan, R.H.1    Ng, M.K.2
  • 13
    • 0028741633 scopus 로고
    • Inexact and preconditioned Uzawa algorithms for saddle point problems
    • Elman, H.C., Golub, G.H.: Inexact and preconditioned Uzawa algorithms for saddle point problems. SIAM J. Numer. Anal. 31, 1645-1661 (1994)
    • (1994) SIAM J. Numer. Anal. , vol.31 , pp. 1645-1661
    • Elman, H.C.1    Golub, G.H.2
  • 14
    • 0000382130 scopus 로고    scopus 로고
    • Minimum residual methods for augmented systems
    • Fischer, B., Ramage, R., Silvester, D.J., Wathen, A.J.: Minimum residual methods for augmented systems. BIT 38, 527-543 (1998)
    • (1998) BIT , vol.38 , pp. 527-543
    • Fischer, B.1    Ramage, R.2    Silvester, D.J.3    Wathen, A.J.4
  • 17
    • 0041437231 scopus 로고    scopus 로고
    • SOR-like methods for augmented systems
    • Golub, G.H., Wu, X., Yuan, J.-Y.: SOR-like methods for augmented systems. BIT 41, 71-85 (2001)
    • (2001) BIT , vol.41 , pp. 71-85
    • Golub, G.H.1    Wu, X.2    Yuan, J.-Y.3
  • 20
    • 27844606874 scopus 로고
    • Convergence of a generalized iterative matrix
    • In Chinese
    • Hu, J.-G.: Convergence of a generalized iterative matrix. Math. Numer. Sinica 6, 174-181 (1984) (In Chinese)
    • (1984) Math. Numer. Sinica , vol.6 , pp. 174-181
    • Hu, J.-G.1
  • 21
    • 0346338244 scopus 로고    scopus 로고
    • A generalized successive overrelaxation method for least squares problems
    • Li, C.-J., Li, B.-J., Evans, D.J.: A generalized successive overrelaxation method for least squares problems. BIT 38, 347-356 (1998)
    • (1998) BIT , vol.38 , pp. 347-356
    • Li, C.-J.1    Li, B.-J.2    Evans, D.J.3
  • 22
    • 0142199776 scopus 로고    scopus 로고
    • A note on an SOR-like method for augmented systems
    • Li, C.-J., Li, Z., Evans, D.J., Zhang, T.: A note on an SOR-like method for augmented systems. IMA J. Numer. Anal. 23, 581-592 (2003)
    • (2003) IMA J. Numer. Anal. , vol.23 , pp. 581-592
    • Li, C.-J.1    Li, Z.2    Evans, D.J.3    Zhang, T.4
  • 23
    • 0000393697 scopus 로고
    • On the location of zeros of certain classes of polynomials with applications to numerical analysis
    • Miller, J.J.H.: On the location of zeros of certain classes of polynomials with applications to numerical analysis. J. Inst. Math. Appl. 8, 397-406 (1971)
    • (1971) J. Inst. Math. Appl. , vol.8 , pp. 397-406
    • Miller, J.J.H.1
  • 24
    • 0041775164 scopus 로고    scopus 로고
    • Preconditioning of elliptic problems by approximation in the transform domain
    • Ng, M.K.: Preconditioning of elliptic problems by approximation in the transform domain. BIT 37, 885-900 (1997)
    • (1997) BIT , vol.37 , pp. 885-900
    • Ng, M.K.1
  • 25
    • 0040453427 scopus 로고    scopus 로고
    • On the convergence of the generalized AOR method
    • Song, Y.-Z.: On the convergence of the generalized AOR method. Linear Algebra Appl. 256, 199-218 (1997)
    • (1997) Linear Algebra Appl. , vol.256 , pp. 199-218
    • Song, Y.-Z.1
  • 26
    • 0031097668 scopus 로고    scopus 로고
    • On the convergence of the MAOR method
    • Song, Y.-Z.: On the convergence of the MAOR method. J. Comput. Appl. Math. 79, 299-317 (1997)
    • (1997) J. Comput. Appl. Math. , vol.79 , pp. 299-317
    • Song, Y.-Z.1
  • 28
    • 0042823104 scopus 로고
    • Generalized extrapolation principle and convergence of some generalized iterative methods
    • Wang, X.-M.: Generalized extrapolation principle and convergence of some generalized iterative methods. Linear Algebra Appl. 185, 235-272 (1993)
    • (1993) Linear Algebra Appl. , vol.185 , pp. 235-272
    • Wang, X.-M.1
  • 29
    • 21344485722 scopus 로고
    • Convergence for a general form of the GAOR method and its application to the MSOR method
    • Wang, X.-M.: Convergence for a general form of the GAOR method and its application to the MSOR method. Linear Algebra Appl. 196, 105-123 (1994)
    • (1994) Linear Algebra Appl. , vol.196 , pp. 105-123
    • Wang, X.-M.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.