메뉴 건너뛰기




Volumn 50, Issue 1 SPEC. ISS., 2006, Pages 181-209

The element-wise weighted total least-squares problem

Author keywords

Multivariate errors in variables model; Non convex optimization; Re weighted least squares; Total least squares; Unequally sized errors

Indexed keywords

ALGORITHMS; CONVERGENCE OF NUMERICAL METHODS; LINEAR SYSTEMS; OPTIMIZATION; PARAMETER ESTIMATION; PROBLEM SOLVING;

EID: 24644477537     PISSN: 01679473     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.csda.2004.07.014     Document Type: Article
Times cited : (95)

References (14)
  • 2
    • 0344870653 scopus 로고
    • 2 approximation problems
    • B. De Moor Structured total least squares and L 2 approximation problems Linear Algebra Appl. 188-189 1993 163 207
    • (1993) Linear Algebra Appl. , vol.188-189 , pp. 163-207
    • De Moor, B.1
  • 3
    • 0002252083 scopus 로고
    • Matrix analysis of metamorphic mineral assemblages and reactions
    • G.W. Fisher Matrix analysis of metamorphic mineral assemblages and reactions Contrib. Mineral. Petrol. 102 1989 69 77
    • (1989) Contrib. Mineral. Petrol. , vol.102 , pp. 69-77
    • Fisher, G.W.1
  • 5
    • 17444394099 scopus 로고
    • Consistency of regression estimates when some variables are subject to error
    • P.P. Gallo Consistency of regression estimates when some variables are subject to error Comm. Statist. B-Theory Methods 11 1982 973 983
    • (1982) Comm. Statist. B-Theory Methods , vol.11 , pp. 973-983
    • Gallo, P.P.1
  • 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 883 893
    • (1980) SIAM J. Numer. Anal. , vol.17 , pp. 883-893
    • Golub, G.H.1    Van Loan, C.F.2
  • 7
    • 17444414139 scopus 로고    scopus 로고
    • Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model AX = B
    • A. Kukush, and S. Van Huffel Consistency of elementwise-weighted total least squares estimator in a multivariate errors-in-variables model AX = B Metrika 59 1 2004 75 97
    • (2004) Metrika , vol.59 , Issue.1 , pp. 75-97
    • Kukush, A.1    Van Huffel, S.2
  • 8
    • 10044267969 scopus 로고    scopus 로고
    • About the convergence of the computational algorithm for the EW-TLS estimator
    • Department of EE, K.U. Leuven
    • Kukush, A., Markovsky, I., Van Huffel, S., 2002. About the convergence of the computational algorithm for the EW-TLS estimator. Technical Report 02-49, Department of EE, K.U. Leuven. Available at: ftp://ftp.esat.kuleuven.ac.be/pub/ SISTA/markovsky
    • (2002) Technical Report , vol.2 , Issue.49
    • Kukush, A.1    Markovsky, I.2    Van Huffel, S.3
  • 10
    • 0000358932 scopus 로고
    • A generalized least-squares approach to linear functional relationships
    • P. Sprent A generalized least-squares approach to linear functional relationships J. Roy. Statist. Soc. B 28 1966 278 297
    • (1966) J. Roy. Statist. Soc. B , vol.28 , pp. 278-297
    • Sprent, P.1
  • 13
    • 0000173668 scopus 로고
    • Analysis and properties of the generalized total least squares problem AX ≈ B when some or all columns in A are subject to error
    • S. Van Huffel, and J. Vandewalle Analysis and properties of the generalized total least squares problem AX ≈ B when some or all columns in A are subject to error SIAM J. Matrix Anal. 10 3 1989 294 315
    • (1989) SIAM J. Matrix Anal. , vol.10 , Issue.3 , pp. 294-315
    • Van Huffel, S.1    Vandewalle, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.