메뉴 건너뛰기




Volumn 25, Issue 4, 2003, Pages 1448-1460

Robust solutions to a general class of approximation problems

Author keywords

Data fitting; Errors in variables; Robust counterparts

Indexed keywords

APPROXIMATION THEORY; COMPUTER SIMULATION; MATHEMATICAL MODELS; MATHEMATICAL OPERATORS; PARAMETER ESTIMATION; PERTURBATION TECHNIQUES; ROBUSTNESS (CONTROL SYSTEMS); UNCERTAIN SYSTEMS;

EID: 4043086279     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827502412498     Document Type: Article
Times cited : (6)

References (24)
  • 1
    • 0032207223 scopus 로고    scopus 로고
    • Robust convex optimization
    • A. BEN-TAL AND A. NEMIROVSKI, Robust convex optimization, Math. Oper. Res., 23 (1998), pp. 769-803.
    • (1998) Math. Oper. Res. , vol.23 , pp. 769-803
    • Ben-Tal, A.1    Nemirovski, A.2
  • 2
    • 0032664938 scopus 로고    scopus 로고
    • Robust solutions to uncertain linear programs via convex programming
    • A. BEN-TAL AND A. NEMIROVSKI, Robust solutions to uncertain linear programs via convex programming, Oper. Res. Lett., 25 (1999), pp. 1-13.
    • (1999) Oper. Res. Lett. , vol.25 , pp. 1-13
    • Ben-Tal, A.1    Nemirovski, A.2
  • 3
    • 0001470835 scopus 로고
    • A stable and efficient algorithm for nonlinear orthogonal distance regression
    • P. T. BOGGS, R. H. BYRD, AND R. B. SCHNABEL, A stable and efficient algorithm for nonlinear orthogonal distance regression, SIAM J. Sci. Stat. Comput., 8 (1987), pp. 1052-1078.
    • (1987) SIAM J. Sci. Stat. Comput. , vol.8 , pp. 1052-1078
    • Boggs, P.T.1    Byrd, R.H.2    Schnabel, R.B.3
  • 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
    • Ghaoui, L.El.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
  • 13
    • 0041733914 scopus 로고    scopus 로고
    • Linear Huber M-estimator under ellipsoidal uncertainty
    • M. Ç. PINAR, Linear Huber M-estimator under ellipsoidal uncertainty, BIT, 42 (2002), pp. 856-866.
    • (2002) BIT , vol.42 , pp. 856-866
    • Pinar, M.Ç.1
  • 14
    • 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 (1996), pp. 110-126.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , pp. 110-126
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 15
    • 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 (1998), pp. 14-30.
    • (1998) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 14-30
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 16
    • 0033907267 scopus 로고    scopus 로고
    • Parameter estimation with multiple sources and levels of uncertainties
    • A. H. SAYED AND S. CHANDRASEKARAN, Parameter estimation with multiple sources and levels of uncertainties, IEEE Trans. Signal Process., 48 (2000), pp. 680-692.
    • (2000) IEEE Trans. Signal Process. , vol.48 , pp. 680-692
    • Sayed, A.H.1    Chandrasekaran, S.2
  • 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
    • 0003914908 scopus 로고
    • The total least squares problem: Computational aspects and analysis
    • SIAM, Philadelphia
    • S. VAN HUFFEL AND J. VANDEWALLE, The Total Least Squares Problem: Computational Aspects and Analysis, Frontiers in Appl. Math. 9, SIAM, Philadelphia, 1991.
    • (1991) Frontiers in Appl. Math. , vol.9
    • Van Huffel, S.1    Vandewalle, J.2
  • 22
    • 0007347104 scopus 로고    scopus 로고
    • p norms with bounded uncertainties in the data
    • Numerical Analysis 1999, Proceedings of the Dundee Conference, D. F. Griffiths and G. A. Watson, eds., Chapman & Hall/CRC, Boca Raton, FL
    • p norms with bounded uncertainties in the data, in Numerical Analysis 1999, Proceedings of the Dundee Conference, D. F. Griffiths and G. A. Watson, eds., Chapman & Hall/CRC Res. Notes Math. 420, Chapman & Hall/CRC, Boca Raton, FL, 2000, pp. 249-265.
    • (2000) Chapman & Hall/CRC Res. Notes Math. , vol.420 , pp. 249-265
    • Watson, G.A.1
  • 23
    • 0035537417 scopus 로고    scopus 로고
    • Data fitting problems with bounded uncertainties in the data
    • G. A. WATSON, Data fitting problems with bounded uncertainties in the data, SIAM J. Matrix Anal. Appl., 22 (2001), pp. 1274-1293.
    • (2001) SIAM J. Matrix Anal. Appl. , vol.22 , pp. 1274-1293
    • Watson, G.A.1
  • 24
    • 4043087283 scopus 로고    scopus 로고
    • Robust solutions to linear approximation problems under ellipsoidal uncertainty
    • S. Van Huffel and P. Lemmerling, eds., Kluwer, Dordrecht
    • G. A. WATSON, Robust solutions to linear approximation problems under ellipsoidal uncertainty, in Total Least Squares and Errors-in-Variables Modeling, S. Van Huffel and P. Lemmerling, eds., Kluwer, Dordrecht, 2002, pp. 213-222.
    • (2002) Total Least Squares and Errors-in-variables Modeling , pp. 213-222
    • Watson, G.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.