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Volumn 2659, Issue , 2003, Pages 693-704

An augmented Lanczos algorithm for the efficient computation of a dot-product of a function of a large sparse symmetric matrix

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTATIONAL EFFICIENCY; MATRIX ALGEBRA; VECTORS;

EID: 22944450815     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-44863-2_68     Document Type: Article
Times cited : (3)

References (11)
  • 1
    • 0043044851 scopus 로고    scopus 로고
    • Bounds for the entries of matrix functions with applications to preconditioning
    • M. Benzi and G. Golub. Bounds for the entries of matrix functions with applications to preconditioning. BIT Numerical Mathematics, 39(3):417-438, 1999.
    • (1999) BIT Numerical Mathematics , vol.39 , Issue.3 , pp. 417-438
    • Benzi, M.1    Golub, G.2
  • 2
    • 0034382829 scopus 로고    scopus 로고
    • Efficient computation of the exponential operator for large, sparse, symmetric matrices
    • L. Bergamaschi and M. Vianello. Efficient computation of the exponential operator for large, sparse, symmetric matrices. Numer. Linear Algebra Appl., 7:27-45, 2000.
    • (2000) Numer. Linear Algebra Appl. , vol.7 , pp. 27-45
    • Bergamaschi, L.1    Vianello, M.2
  • 3
    • 0034353669 scopus 로고    scopus 로고
    • Rational matrix functions and rank-1 updates
    • D. S. Bernstein and C. F. Van Loan. Rational matrix functions and rank-1 updates. SIMAX, 22(1):145-154, 2000.
    • (2000) SIMAX , vol.22 , Issue.1 , pp. 145-154
    • Bernstein, D.S.1    Van Loan, C.F.2
  • 4
    • 0032377092 scopus 로고    scopus 로고
    • Extended krylov subspaces: Approximation of the matrix square root and related functions
    • V. Druskin and L. Knizhnerman. Extended krylov subspaces: Approximation of the matrix square root and related functions. SIMAX, 19(3):755-771, 1998.
    • (1998) SIMAX , vol.19 , Issue.3 , pp. 755-771
    • Druskin, V.1    Knizhnerman, L.2
  • 5
    • 0003093333 scopus 로고
    • Matrices, moments and quadrature
    • D. F. Griffiths and G. A Waston, editors, Numerical Anaiysis 93. Longman Scientific and Technical
    • G. Golub and G. Meurant. Matrices, moments and quadrature. In D. F. Griffiths and G. A Waston, editors, Numerical Anaiysis 93. Pitman Research Notes in Mathematics 303, Longman Scientific and Technical, 1993.
    • (1993) Pitman Research Notes in Mathematics , vol.303
    • Golub, G.1    Meurant, G.2
  • 6
    • 0000391978 scopus 로고    scopus 로고
    • Matrices, moments and quadrature. ii. how to compute the norm of the error in iterative methods
    • G. Golub and G. Meurant. Matrices, moments and quadrature. ii. how to compute the norm of the error in iterative methods. BIT, 37(3):687-705, 1997.
    • (1997) BIT , vol.37 , Issue.3 , pp. 687-705
    • Golub, G.1    Meurant, G.2
  • 7
    • 0347799731 scopus 로고    scopus 로고
    • On Krylov subspace approximations ot the matrix exponential operator
    • October
    • M. Hochbruck and Ch. Lubich. On Krylov subspace approximations ot the matrix exponential operator. SIAM J. Numer. Anal, 34(5):1911-1925, October 1997.
    • (1997) SIAM J. Numer. Anal , vol.34 , Issue.5 , pp. 1911-1925
    • Hochbruck, M.1    Lubich, Ch.2
  • 9
    • 0026818185 scopus 로고
    • Analysis of some Krylov subspace approximations to the matrix exponential operator
    • Y. Saad. Analysis of some Krylov subspace approximations to the matrix exponential operator. SIAM J. Numer. Anal., 29(1):208-227, 1992.
    • (1992) SIAM J. Numer. Anal. , vol.29 , Issue.1 , pp. 208-227
    • Saad, Y.1
  • 11
    • 0000048673 scopus 로고
    • GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems
    • July
    • Y. Saad and M. H. Schultz. GMRES: A generalized minimal residual algorithm for solving nonsymmetric linear systems. SIAM J. Sci. and Stat. Comp., 3(7):856-869, July 1986.
    • (1986) SIAM J. Sci. and Stat. Comp. , vol.3 , Issue.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2


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