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Volumn 108, Issue 4, 2008, Pages 605-624

On nonsymmetric saddle point matrices that allow conjugate gradient iterations

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EID: 38549181681     PISSN: 0029599X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00211-007-0131-9     Document Type: Article
Times cited : (32)

References (18)
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  • 5
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    • On the eigenvalues of a class of saddle point matrices
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    • Benzi, M.1    Simoncini, V.2
  • 6
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    • A preconditioning technique for indefinite systems resulting from mixed approximations of elliptic problems
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    • Bramble, J.H.1    Pasciak, J.E.2
  • 7
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    • (2005) Numerical Mathematics and Scientific Computation
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  • 8
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  • 10
    • 84968476273 scopus 로고
    • Fields of values of a matrix
    • Givens W. (1952). Fields of values of a matrix. Proc. Am. Math. Soc. 3: 206-209
    • (1952) Proc. Am. Math. Soc. , vol.3 , pp. 206-209
    • Givens, W.1
  • 11
    • 0000135303 scopus 로고
    • Methods of conjugate gradients for solving linear systems
    • Hestenes M.R. and Stiefel E. (1952). Methods of conjugate gradients for solving linear systems. J. Res. Nat. Bur. Stand. 49: 409-436
    • (1952) J. Res. Nat. Bur. Stand. , vol.49 , pp. 409-436
    • Hestenes, M.R.1    Stiefel, E.2
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    • Solution of sparse indefinite systems of linear equations
    • Paige C.C. and Saunders M.A. (1975). Solution of sparse indefinite systems of linear equations. SIAM J. Numer. Anal. 12: 617-629
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    • Paige, C.C.1    Saunders, M.A.2
  • 16
    • 0035219272 scopus 로고    scopus 로고
    • Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems
    • Sleijpen G.L.G., van der Vorst H.A. and Modersitzki J. (2000). Differences in the effects of rounding errors in Krylov solvers for symmetric indefinite linear systems. SIAM J. Matrix Anal. Appl. 22: 726-751
    • (2000) SIAM J. Matrix Anal. Appl. , vol.22 , pp. 726-751
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  • 17
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    • Stoll, M., Wathen, A.: The Bramble-Pasciak preconditioner for saddlepoint problems. Numerical Analysis Group Research Report NA-07/13. Oxford University, Computing Laboratory (2007)
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    • Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems
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    • Stoll, M., Wathen, A.: Combination preconditioning and self-adjointness in non-standard inner products with application to saddle point problems. Numerical Analysis Group Research Report NA-07/11. Oxford University, Computing Laboratory (2007)
    • (2007) Numerical Analysis Group Research Report NA-07/11
    • Stoll, M.1    Wathen, A.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.