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Volumn 12, Issue 1, 2005, Pages 55-76

Krylov subspaces and the analytic grade

Author keywords

Approximately invariant subspaces; Convergence; Error bounds; Preconditioning; Ritz values

Indexed keywords


EID: 20744447050     PISSN: 10705325     EISSN: None     Source Type: Journal    
DOI: 10.1002/nla.392     Document Type: Article
Times cited : (6)

References (14)
  • 1
    • 20744452178 scopus 로고    scopus 로고
    • Approximately invariant subspaces
    • Proceedings of the Tenth Biennial Computation Techniques and Applications Conference
    • Ilić M, Turner IW. Approximately invariant subspaces. Proceedings of the Tenth Biennial Computation Techniques and Applications Conference. Australian and New Zealand Industrial and Applied Mathematics Journal 2002; 44(E):C378-C399.
    • (2002) Australian and New Zealand Industrial and Applied Mathematics Journal , vol.44 , Issue.E
    • Ilić, M.1    Turner, I.W.2
  • 2
    • 0442277966 scopus 로고
    • How fast can iterative methods be?
    • Golub G, Luskin M, Greenbaum A (eds). Springer: New York
    • Nevanlinna O. How fast can iterative methods be? In Recent Advances in Iterative Methods, Golub G, Luskin M, Greenbaum A (eds). Springer: New York, 1994; 135-148.
    • (1994) Recent Advances in Iterative Methods , pp. 135-148
    • Nevanlinna, O.1
  • 4
    • 0442320584 scopus 로고    scopus 로고
    • Lectures on Advanced Numerical Analysis. SIAM: Philadelphia, PA
    • Stewart GW. Afternotes goes to Graduate School, Lectures on Advanced Numerical Analysis. SIAM: Philadelphia, PA, 1998.
    • (1998) Afternotes Goes to Graduate School
    • Stewart, G.W.1
  • 5
    • 21344478894 scopus 로고
    • Bounds on the error of an approximate invariant subspace for non-self-adjoint matrices
    • Haviv M, Ritov Y. Bounds on the error of an approximate invariant subspace for non-self-adjoint matrices. Numerische Mathematik 1994; 67:491-500.
    • (1994) Numerische Mathematik , vol.67 , pp. 491-500
    • Haviv, M.1    Ritov, Y.2
  • 12
    • 0000048673 scopus 로고
    • GMRES: A generalized minimum residual algorithm for solving nonsymmetric linear systems
    • Saad Y, Schultz MH. GMRES: a generalized minimum residual algorithm for solving nonsymmetric linear systems. SIAM Journal on Statistical and Scientific Computing 1986; 7:856-869.
    • (1986) SIAM Journal on Statistical and Scientific Computing , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 14
    • 0035219199 scopus 로고    scopus 로고
    • Generalized augmented preconditioning approach and its application to iterative solution of ill-conditioned algebraic systems
    • Padiy A, Axelsson A, Polman B. Generalized augmented preconditioning approach and its application to iterative solution of ill-conditioned algebraic systems. SIAM Journal of Matrix Analysis and Applications 2001; 22:793-818.
    • (2001) SIAM Journal of Matrix Analysis and Applications , vol.22 , pp. 793-818
    • Padiy, A.1    Axelsson, A.2    Polman, B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.