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Volumn 1988, Issue , 2001, Pages 560-568

On the stability of the generalized schur algorithm

Author keywords

[No Author keywords available]

Indexed keywords

STABILITY;

EID: 23044525227     PISSN: 03029743     EISSN: 16113349     Source Type: Book Series    
DOI: 10.1007/3-540-45262-1_66     Document Type: Conference Paper
Times cited : (5)

References (16)
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  • 2
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    • Stability analysis of a general Toeplitz systems solver
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    • Stability of methods for solving Toeplitz systems of Equations
    • Bunch, J.: Stability of methods for solving Toeplitz systems of Equations. SIAM J. Sci. Stat. Comput. 6 (1985) 349–364.
    • (1985) SIAM J. Sci. Stat. Comput , vol.6 , pp. 349-364
    • Bunch, J.1
  • 5
    • 0030519188 scopus 로고    scopus 로고
    • Stabilizing the generalized Schur algorithm
    • Chandrasekaran, S., Sayed, A. H.: Stabilizing the generalized Schur algorithm. SIAM J. Matrix Anal. Appl. 17 no. 4, (1996) 950–983.
    • (1996) SIAM J. Matrix Anal. Appl , vol.17 , Issue.4 , pp. 950-983
    • Chandrasekaran, S.1    Sayed, A.H.2
  • 6
    • 0032343445 scopus 로고    scopus 로고
    • A fast stable solver for nonsymmetric Toeplitz and quasi-Toeplitz systems of linear equations
    • Chandrasekaran, S., Sayed, A. H.: A fast stable solver for nonsymmetric Toeplitz and quasi-Toeplitz systems of linear equations. SIAM J. Mat. Anal. and Appl. 19 (1998) 107–139.
    • (1998) SIAM J. Mat. Anal. and Appl , vol.19 , pp. 107-139
    • Chandrasekaran, S.1    Sayed, A.H.2
  • 7
    • 0000514136 scopus 로고
    • Fast parallel algorithms for QR and triangular factorization
    • Chun, J., Kailath, T., Lev-ari, H.: Fast parallel algorithms for QR and triangular factorization. SIAM J. Sci. and Stat. Comp. 8 (1987) 899–913.
    • (1987) SIAM J. Sci. and Stat. Comp , vol.8 , pp. 899-913
    • Chun, J.1    Kailath, T.2    Lev-Ari, H.3
  • 8
    • 0004236492 scopus 로고    scopus 로고
    • Third ed., The John Hopkins University Press, Baltimore, MD
    • Golub, G. H., Van Loan, C. F.: Matrix Computations. Third ed., The John Hopkins University Press, Baltimore, MD, 1996.
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 9
    • 21144451635 scopus 로고
    • Generalized displacement structure for block–Toeplitz, Toeplitz–block and Toeplitz–derived matrices
    • Kailath, T., Chun, J.: Generalized displacement structure for block–Toeplitz, Toeplitz–block and Toeplitz–derived matrices. SIAM J. Matrix Anal. Appl. 15 (1994), 114–128.
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    • Kailath, T.1    Chun, J.2
  • 10
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    • Displacement ranks of matrices and linear equations
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    • Kailath, T.1    Kung, S.2    Morf, M.3
  • 11
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    • Displacement structure: Theory and applications
    • Kailath, T., Sayed, A. H.: Displacement structure: Theory and applications. SIAM Review 37 (1995) 297–386.
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    • Displacement structure and array algorithms
    • T. Kailath and A. H. Sayed, Ed., SIAM, Philadelpia
    • Kailath, T.: Displacement structure and array algorithms, in Fast Reliable Algorithms for Matrices with Structure, T. Kailath and A. H. Sayed, Ed., SIAM, Philadelpia, 1999.
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    • Kailath, T.1
  • 13
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    • Fast algorithm for solving the Hankel/Toeplitz structured total least squares problem
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    • Lemmerling, P., Mastronardi, N., Van Huffel, S.: Fast algorithm for solving the Hankel/Toeplitz structured total least squares problem. Numerical Algorithms (to appear).
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    • Fast structured total least squares algorithm for solving the basic deconvolution problem
    • (to appear)
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    • Mastronardi, N.1    Lemmerling, P.2    Van Huffel, S.3
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