메뉴 건너뛰기




Volumn 39, Issue 4, 1999, Pages 757-779

Low Rank Approximation of a Hankel Matrix by Structured Total Least Norm

Author keywords

1 norm; 2 norm; Hankel structure; Overdetermined linear systems; Rank reduction; Singular value decomposition; Structured total least norm; Toeplitz structure; Total least squares

Indexed keywords


EID: 0009898156     PISSN: 00063835     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1022347425533     Document Type: Article
Times cited : (61)

References (27)
  • 1
    • 0026151452 scopus 로고
    • The constrained total least squares technique and its application to harmonic superresolution
    • T. J. Abatzoglou, J. M. Mendel, and G. A. Harada, The constrained total least squares technique and its application to harmonic superresolution, IEEE Trans. Signal Processing, 39 (1991), pp. 1070-1087.
    • (1991) IEEE Trans. Signal Processing , vol.39 , pp. 1070-1087
    • Abatzoglou, T.J.1    Mendel, J.M.2    Harada, G.A.3
  • 2
    • 0009271202 scopus 로고    scopus 로고
    • Self-scaling fast rotations for stiff least squares problems
    • A. A. Anda and H. Park, Self-scaling fast rotations for stiff least squares problems, Linear Algebra Appl., 234 (1996), pp. 137-161.
    • (1996) Linear Algebra Appl. , vol.234 , pp. 137-161
    • Anda, A.A.1    Park, H.2
  • 4
    • 0023827797 scopus 로고
    • Signal enhancement: A composite property mapping algorithm
    • J. Cadzow, Signal enhancement: A composite property mapping algorithm, IEEE Trans. Acoustics, Speech, and Signal Processing, ASSP-36 (1988), pp. 49-62.
    • (1988) IEEE Trans. Acoustics, Speech, and Signal Processing , vol.ASSP-36 , pp. 49-62
    • Cadzow, J.1
  • 8
    • 0028542789 scopus 로고
    • Total least squares for affinely structured matrices and the noisy realization problem
    • B. De Moor, Total least squares for affinely structured matrices and the noisy realization problem, IEEE Trans. Signal Processing, SP-42 (1994), pp. 3104-3113.
    • (1994) IEEE Trans. Signal Processing , vol.SP-42 , pp. 3104-3113
    • De Moor, B.1
  • 10
    • 0021441691 scopus 로고
    • ∞-error bounds
    • ∞-error bounds, Int. J. Control, (1984), pp. 1115-1193.
    • (1984) Int. J. Control , pp. 1115-1193
    • Glover, K.1
  • 11
    • 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
  • 15
    • 0003446306 scopus 로고
    • Report, SOL 83-20R, Department of Operations Research, Stanford University, Stanford, CA; revised
    • B. A. Murtagh and M. A. Saunders, MINOS 5.4 User's Guide, Report, SOL 83-20R, Department of Operations Research, Stanford University, Stanford, CA; revised 1995.
    • (1995) MINOS 5.4 User's Guide
    • Murtagh, B.A.1    Saunders, M.A.2
  • 16
    • 0042121983 scopus 로고
    • Army High Performance Computing Research Center preprint 94-041, University of Minnesota, November, revised July
    • J. B. Rosen, H. Park, and J. Glick, The total least norm problem: formulation and algorithms, Army High Performance Computing Research Center preprint 94-041, University of Minnesota, November, 1993; revised July, 1994.
    • (1993) The Total Least Norm Problem: Formulation and Algorithms
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 17
    • 0030550537 scopus 로고    scopus 로고
    • Total least norm formulation and solution for structured problems
    • J. B. Rosen, H. Park, and J. Glick, Total least norm formulation and solution for structured problems, SIAM J. Matrix Anal. Appl., 17:1 (1996), pp. 110-128.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , Issue.1 , pp. 110-128
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 18
    • 0032217341 scopus 로고    scopus 로고
    • Structured total least norm for nonlinear problems
    • J. B. Rosen, H. Park, and J. Glick, Structured total least norm for nonlinear problems, SIAM J. Matrix Anal. Appl., 20:1 (1999), pp. 14-30.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , Issue.1 , pp. 14-30
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 20
    • 0009483980 scopus 로고    scopus 로고
    • Linköping Studies in Science and Technology, Lic. Theses No. 554, Department of Mathematics, Linköping University, Sweden
    • E. Sjöström. Singular value computations for Toeplitz matrices, Linköping Studies in Science and Technology, Lic. Theses No. 554, Department of Mathematics, Linköping University, Sweden, 1996.
    • (1996) Singular Value Computations for Toeplitz Matrices
    • Sjöström, E.1
  • 21
    • 0001263716 scopus 로고
    • Linear prediction and maximum entropy methods in NMR spectroscopy
    • D. S. Stephenson, Linear prediction and maximum entropy methods in NMR spectroscopy, Progress in NMR spectroscopy, 20 (1988), pp. 515-626.
    • (1988) Progress in NMR Spectroscopy , vol.20 , pp. 515-626
    • Stephenson, D.S.1
  • 22
    • 84966252047 scopus 로고
    • On the asymptotic behavior of scaled singular value and QR decompositions
    • G. W. Stewart, On the asymptotic behavior of scaled singular value and QR decompositions, Math. Comp., 43 (1983), pp. 483-489.
    • (1983) Math. Comp. , vol.43 , pp. 483-489
    • Stewart, G.W.1
  • 25
    • 0030270157 scopus 로고    scopus 로고
    • Total least norm solution for structured problems in parameter estimation
    • S. Van Huffel, H. Park, and J. B. Rosen, Total least norm solution for structured problems in parameter estimation, IEEE Trans. Signal Processing, 44:10 (1996), pp. 2464-2474.
    • (1996) IEEE Trans. Signal Processing , vol.44 , Issue.10 , pp. 2464-2474
    • Van Huffel, S.1    Park, H.2    Rosen, J.B.3
  • 26
    • 0022146092 scopus 로고
    • On the method of weighting for equality constrained least squares problems
    • C. F. Van Loan, On the method of weighting for equality constrained least squares problems, SIAM J. Numer. Anal., 22 (1985), pp. 851-864.
    • (1985) SIAM J. Numer. Anal. , vol.22 , pp. 851-864
    • Van Loan, C.F.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.