메뉴 건너뛰기




Volumn 22, Issue 4, 2001, Pages 1274-1293

Data fitting problems with bounded uncertainties in the data

Author keywords

Bounded uncertainties; Data fitting; Minimum norm problems; Robustness; Separable matrix norms

Indexed keywords


EID: 0035537417     PISSN: 08954798     EISSN: None     Source Type: Journal    
DOI: 10.1137/S0895479899356596     Document Type: Article
Times cited : (20)

References (21)
  • 9
    • 0031536271 scopus 로고    scopus 로고
    • Robust solutions to least-squares problems with uncertain data
    • L. EL GHAOUI AND H. LEBRET, Robust solutions to least-squares problems with uncertain data. SIAM J. Matrix Anal. Appl., 18 (1997), pp. 1035-1064.
    • (1997) SIAM J. Matrix Anal. Appl. , vol.18 , pp. 1035-1064
    • El Ghaoui, L.1    Lebret, H.2
  • 10
    • 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
  • 11
    • 0029753901 scopus 로고    scopus 로고
    • Recursive linear estimation in Krein spaces - Part I: Theory
    • B. HASSIBI, A. H. SAYED, AND T. KAILATH, Recursive linear estimation in Krein spaces - Part I: Theory, IEEE Trans. Automat. Control, AC-41 (1996), pp. 18-33.
    • (1996) IEEE Trans. Automat. Control , vol.AC-41 , pp. 18-33
    • Hassibi, B.1    Sayed, A.H.2    Kailath, T.3
  • 14
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • R. T. ROCKAFELLAR, Convex Analysis, Princeton University Press, Princeton, 1970.
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 15
    • 0032279572 scopus 로고    scopus 로고
    • Estimation in the presence of multiple sources of uncertainties with applications
    • Pacific Grove, CA
    • A. H. SAYED AND S. CHANDRASEKARAN, Estimation in the presence of multiple sources of uncertainties with applications, in Proceedings of the Asilomar Conference, Pacific Grove, CA, 1998, pp. 1811-1815.
    • (1998) Proceedings of the Asilomar Conference , pp. 1811-1815
    • Sayed, A.H.1    Chandrasekaran, S.2
  • 16
    • 0001025109 scopus 로고    scopus 로고
    • Inertia conditions for the minimization of quadratic forms in indefinite metric spaces
    • I. Gohberg, P. Lancaster, and P. N. Shivakumar, eds., Birkhauser, Basel
    • A. H. SAYED, B. HASSIBI, AND T. KAILATH, Inertia conditions for the minimization of quadratic forms in indefinite metric spaces, in Operator Theory: Advances and Applications, I. Gohberg, P. Lancaster, and P. N. Shivakumar, eds., Birkhauser, Basel, 1996, pp. 309-347.
    • (1996) Operator Theory: Advances and Applications , pp. 309-347
    • Sayed, A.H.1    Hassibi, B.2    Kailath, T.3
  • 17
    • 0043080051 scopus 로고    scopus 로고
    • Estimation and control in the presence of bounded data uncertainties
    • A. H. SAYED, V. H. NASCIMENTO, AND S. CHANDRASEKARAN, Estimation and control in the presence of bounded data uncertainties, Linear Algebra Appl., 284 (1998), pp. 259-306.
    • (1998) Linear Algebra Appl. , vol.284 , pp. 259-306
    • Sayed, A.H.1    Nascimento, V.H.2    Chandrasekaran, S.3
  • 19
    • 0003297912 scopus 로고
    • The total least squares problem: Computational aspects and analysis
    • SIAM, Philadelphia
    • S. VAN HUFFEL AND J. VANDEVALLE, The Total Least Squares Problem: Computational Aspects and Analysis, Frontiers Appl. Math. 9, SIAM, Philadelphia, 1991.
    • (1991) Frontiers Appl. Math. , vol.9
    • Van Huffel, S.1    Vandevalle, J.2
  • 20
    • 85011525994 scopus 로고    scopus 로고
    • Choice of norms for data fitting and function approximation
    • G. A. WATSON, Choice of norms for data fitting and function approximation, Acta Numer. 7, 1998, pp. 337-377.
    • (1998) Acta Numer. , vol.7 , pp. 337-377
    • Watson, G.A.1
  • 21
    • 0007347104 scopus 로고    scopus 로고
    • p norms with bounded uncertainties in the data
    • Proceedings of the Dundee Conference, Numerical Analysis 1999, D. F. Griffiths and G. A. Watson, eds., Chapman and Hall/CRC Res. Boca Raton, FL
    • p norms with bounded uncertainties in the data, in Proceedings of the Dundee Conference, Numerical Analysis 1999, D. F. Griffiths and G. A. Watson, eds., Chapman and Hall/CRC Res. Notes Math. 420, Boca Raton, FL, 2000, pp. 249-265.
    • (2000) Notes Math. , vol.420 , pp. 249-265
    • Watson, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.