메뉴 건너뛰기




Volumn 34, Issue 1, 1997, Pages 48-66

Analysis of a minimum perturbation algorithm for nonsymmetric linear systems

Author keywords

Krylov subspace methods; Minimum joint backward perturbation; Nonsymmetric linear systems

Indexed keywords


EID: 0001823787     PISSN: 00361429     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0036142994266844     Document Type: Article
Times cited : (11)

References (19)
  • 1
    • 0002807741 scopus 로고
    • The principle of minimised iterations in the solution of the matrix eigenvalue problem
    • W. ARNOLDI, The principle of minimised iterations in the solution of the matrix eigenvalue problem, Quart. Appl. Math., 9 (1951), pp. 17-29.
    • (1951) Quart. Appl. Math. , vol.9 , pp. 17-29
    • Arnoldi, W.1
  • 3
    • 0003578476 scopus 로고
    • Generalised Inverses: Theory and Applications
    • Wiley, New York
    • A. BEN-ISRAEL AND T. N. E. GREVILLE, Generalised Inverses: Theory and Applications, Wiley-Intersci. Ser., Wiley, New York, 1974.
    • (1974) Wiley-Intersci. Ser.
    • Ben-Israel, A.1    Greville, T.N.E.2
  • 4
    • 0018011435 scopus 로고
    • Kronecker products and matrix calculus in system theory
    • J. W. BREWER, Kronecker products and matrix calculus in system theory, IEEE Trans. Circuits and Systems, 25 (1978), pp. 772-781.
    • (1978) IEEE Trans. Circuits and Systems , vol.25 , pp. 772-781
    • Brewer, J.W.1
  • 5
    • 0018492943 scopus 로고
    • Computation of Lagrange multiplier estimates for constrained minimisation
    • P. E. GILL AND W. MURRAY, Computation of Lagrange multiplier estimates for constrained minimisation, Math. Programming, 17 (1979), pp. 32-60.
    • (1979) Math. Programming , vol.17 , pp. 32-60
    • Gill, P.E.1    Murray, W.2
  • 6
    • 0000333571 scopus 로고
    • An analysis of the total least squares problem
    • G. H. GOLUB AND C. F. VAN LOAN, An analysis of the total least squares problem, SIAM J. Numer. Anal., 17 (1980), pp. 883-893.
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 883-893
    • Golub, G.H.1    Van Loan, C.F.2
  • 8
    • 0007166406 scopus 로고
    • GMBACK: A generalised minimum backward error algorithm for nonsymmetric linear systems
    • E. M. KASENALLY, GMBACK: A generalised minimum backward error algorithm for nonsymmetric linear systems, SIAM J. Sci. Comput., 16 (1995), pp. 698-719.
    • (1995) SIAM J. Sci. Comput. , vol.16 , pp. 698-719
    • Kasenally, E.M.1
  • 10
    • 0000186540 scopus 로고
    • Eigenvalues and pseudo-eigenvalues of toeplitz matrices
    • L. REICHEL AND L. N. TREFETHEN, Eigenvalues and pseudo-eigenvalues of toeplitz matrices, Linear Algebra Appl., 162/164 (1992), pp. 153-185.
    • (1992) Linear Algebra Appl , vol.162-164 , pp. 153-185
    • Reichel, L.1    Trefethen, L.N.2
  • 11
    • 84966222159 scopus 로고
    • Krylov subspace methods for solving large unsymmetric linear systems
    • Y. SAAD, Krylov subspace methods for solving large unsymmetric linear systems, Math. Comp., 37 (1981), pp. 105-126.
    • (1981) Math. Comp. , vol.37 , pp. 105-126
    • Saad, Y.1
  • 13
    • 0000048673 scopus 로고
    • GMRES: A generalised minimum residual algorithm for solving non-symmetric linear systems
    • Y. SAAD AND M. H. SCHULTZ. GMRES: A generalised minimum residual algorithm for solving non-symmetric linear systems, SIAM J. Sci. Statist. Comput., 7 (1986), pp. 856-869.
    • (1986) SIAM J. Sci. Statist. Comput. , vol.7 , pp. 856-869
    • Saad, Y.1    Schultz, M.H.2
  • 14
    • 0001448449 scopus 로고
    • An iterative method for nonsymmetric systems with multiple, right-hand sides
    • V. SIMONCINI AND E. GALLOPOULOS, An iterative method for nonsymmetric systems with multiple, right-hand sides, SIAM J. Sci. Comput., 15 (1995), pp. 917-933.
    • (1995) SIAM J. Sci. Comput. , vol.15 , pp. 917-933
    • Simoncini, V.1    Gallopoulos, E.2
  • 17
    • 0345904418 scopus 로고
    • Algebraic connections between the least squares and total least squares problems
    • S. VAN HUFFEL AND J. VANDEWALLE. Algebraic connections between the least squares and total least squares problems, Numer. Math., 55 (1989), pp. 431-449.
    • (1989) Numer. Math. , vol.55 , pp. 431-449
    • Van Huffel, S.1    Vandewalle, J.2
  • 18
    • 0003297912 scopus 로고
    • The total least squares problem, computational aspects and analysis
    • SIAM, Philadelphia, PA
    • S. VAN HUFFEL AND J. VANDEWALLE, The total least squares problem, computational aspects and analysis, in Frontiers in Applied Mathematics, Volume 9, SIAM, Philadelphia, PA, 1991.
    • (1991) Frontiers in Applied Mathematics , vol.9
    • Van Huffel, S.1    Vandewalle, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.