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Volumn 2179, Issue , 2001, Pages 462-470

A comparison of subspace methods for sylvester equations

Author keywords

[No Author keywords available]

Indexed keywords

ALGEBRA; ITERATIVE METHODS; LINEAR ALGEBRA;

EID: 84867987413     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: None     Document Type: Conference Paper
Times cited : (5)

References (15)
  • 1
    • 0020002987 scopus 로고
    • Nonlinear oscillations and boundary-value problems for Hamiltonian systems
    • F. Clarke and I. Ekeland. Nonlinear oscillations and boundary-value problems for Hamiltonian systems, Arch. Rat. Mech. Anal., 78, 315-333, 1982.
    • (1982) Arch. Rat. Mech. Anal , vol.78 , pp. 315-333
    • Clarke, F.1    Ekeland, I.2
  • 2
    • 84976855597 scopus 로고
    • Solution of the equation AX +XB = C
    • R. H. Bartels and G. W Stewart. Solution of the equation AX +XB = C, Comm. ACM, 15, 820-826, 1972.
    • (1972) Comm. ACM , vol.15 , pp. 820-826
    • Bartels, R.H.1    Stewart, G.W.2
  • 5
    • 0004236492 scopus 로고    scopus 로고
    • third edition), The John Hopkins University Press, Baltimore and London
    • G. H. Golub and C. F. van Loan. Matrix Computations (third edition), The John Hopkins University Press, Baltimore and London, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 6
    • 0018721357 scopus 로고
    • A Hessenberg-Schur method for the problem AX−XB = C
    • G. H. Golub, S. Nash, and C. F. van Loan. A Hessenberg-Schur method for the problem AX −XB = C, IEEE Trans. Automat. Control., AC-24, 909-913, 1979.
    • (1979) IEEE Trans. Automat. Control , vol.24 , pp. 909-913
    • Golub, G.H.1    Nash, S.2    Van Loan, C.F.3
  • 7
    • 0001045175 scopus 로고
    • Perturbation theory and backward error forAX − XB = C
    • N. J. Higham. Perturbation theory and backward error for AX − XB = C, BIT, 33, 124-136, 1993.
    • (1993) BIT , vol.33 , pp. 124-136
    • Higham, N.J.1
  • 8
    • 38249011246 scopus 로고
    • Krylov subspace methods for the Sylvester equations
    • D. Y. Hu and L. Reichel. Krylov subspace methods for the Sylvester equations, Linear Algebra Appl., 172, 283-314, 1992.
    • (1992) Linear Algebra Appl , vol.172 , pp. 283-314
    • Hu, D.Y.1    Reichel, L.2
  • 9
    • 0000844938 scopus 로고    scopus 로고
    • On the numerical solution of AX − XB = C
    • V. Simoncini. On the numerical solution of AX − XB = C, BIT, 36, 182-198, 1996.
    • (1996) BIT , vol.36 , pp. 182-198
    • Simoncini, V.1
  • 10
    • 1542603280 scopus 로고    scopus 로고
    • Arnoldi-Riccati method for large eigenvalue problems
    • V. Simoncini and M. Sadkane. Arnoldi-Riccati method for large eigenvalue problems, BIT, 36, 579-594, 1996.
    • (1996) BIT , vol.36 , pp. 579-594
    • Simoncini, V.1    Sadkane, M.2
  • 11
    • 0030560293 scopus 로고    scopus 로고
    • A Jacobi-Davidson iteration method for linear eigenvalue problems
    • G. L. G. Sleijpen and H. A. van der Vorst. A Jacobi-Davidson iteration method for linear eigenvalue problems, SIAM J. Matrix Anal. Applic., 17, 401-425, 1996.
    • (1996) SIAM J. Matrix Anal. Applic , vol.17 , pp. 401-425
    • Sleijpen, G.1    Van Der Vorst, H.A.2
  • 12
    • 0000875808 scopus 로고
    • Controllability, observability and the solution of AX − XB = C
    • E. de Souza and S. P. Bhattacharyya. Controllability, observability and the solution of AX − XB = C, Linear Algebra Appl., 39, 167-188, 1981.
    • (1981) Linear Algebra Appl , vol.39 , pp. 167-188
    • De Souza, E.1    Bhattacharyya, S.P.2
  • 14
    • 0001162599 scopus 로고
    • Error and perturbation bounds for subspaces associated with certain eigenvalue problems
    • G. W. Stewart. Error and perturbation bounds for subspaces associated with certain eigenvalue problems, SIAM Review, 15, 1973.
    • (1973) SIAM Review , pp. 15
    • Stewart, G.W.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.