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Volumn 17, Issue 2-3, 2000, Pages 329-341

Accurate solution to overdetermined linear equations with errors using L1 norm minimization

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ERRORS; LINEAR PROGRAMMING; MATRIX ALGEBRA; PROBABILITY; PROBLEM SOLVING;

EID: 0343462429     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1026562601717     Document Type: Article
Times cited : (22)

References (22)
  • 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 Process., vol. 39, pp. 1070-1087, 1991.
    • (1991) IEEE Trans. Signal Process. , vol.39 , pp. 1070-1087
    • Abatzoglou, T.J.1    Mendel, J.M.2    Harada, G.A.3
  • 2
    • 0001107873 scopus 로고
    • Improved algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals
    • H. Barkhuijsen, R. De Beer, and D. Van Ormondt, "Improved algorithm for noniterative time-domain model fitting to exponentially damped magnetic resonance signals," J. Magnetic Resonance, vol. 73, pp. 553-557, 1987.
    • (1987) J. Magnetic Resonance , vol.73 , pp. 553-557
    • Barkhuijsen, H.1    De Beer, R.2    Van Ormondt, D.3
  • 3
    • 0009257350 scopus 로고
    • 1 approximation and the analysis of data
    • 1 approximation and the analysis of data," Appl. Stat., vol. 17, pp. 51-57, 1968.
    • (1968) Appl. Stat. , vol.17 , pp. 51-57
    • Barrodale, I.1
  • 5
    • 0000657061 scopus 로고
    • ∞ linear approximations on a discrete set
    • ∞ linear approximations on a discrete set," Numer. Math., vol. 8, pp. 295-306, 1966.
    • (1966) Numer. Math. , vol.8 , pp. 295-306
    • Barrodale, I.1    Young, A.2
  • 8
    • 0042698755 scopus 로고
    • Least absolute value estimation in regression models: An annotated bibliography
    • T.E. Dielman, "Least absolute value estimation in regression models: An annotated bibliography," Commun. Statistical-Theor. Meth., vol. 13, pp. 513-541, 1984.
    • (1984) Commun. Statistical-Theor. Meth. , vol.13 , pp. 513-541
    • Dielman, T.E.1
  • 9
    • 0040961580 scopus 로고
    • Forecasting in least absolute value regression with autocorrelated errors: A small sample study
    • T.E. Dielman and E.L. Rose, "Forecasting in least absolute value regression with autocorrelated errors: A small sample study," Int. J. Forecast, vol. 10, pp. 539-547, 1994.
    • (1994) Int. J. Forecast , vol.10 , pp. 539-547
    • Dielman, T.E.1    Rose, E.L.2
  • 11
    • 0020267981 scopus 로고
    • Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise
    • R. Kumaresan and D.W. Tufts, "Estimating the parameters of exponentially damped sinusoids and pole-zero modeling in noise," IEEE Trans. on Acoust., Speech, and Signal Process., vol. 30, pp. 833-840, 1982.
    • (1982) IEEE Trans. on Acoust., Speech, and Signal Process. , vol.30 , pp. 833-840
    • Kumaresan, R.1    Tufts, D.W.2
  • 13
    • 0031522712 scopus 로고    scopus 로고
    • Permutation-based multivariate regression analysis: The case for least sum of absolute deviations regression
    • P.W. Mielke, Jr and K.J. Berry, "Permutation-based multivariate regression analysis: The case for least sum of absolute deviations regression," Ann. Oper. Res., vol. 74, pp. 259-268, 1997.
    • (1997) Ann. Oper. Res. , vol.74 , pp. 259-268
    • Mielke P.W., Jr.1    Berry, K.J.2
  • 14
    • 0000270617 scopus 로고
    • The minimum sum of absolute errors regression: A state of the art survey
    • S.C. Narula and J.F. Wellington, "The minimum sum of absolute errors regression: A state of the art survey," Int. Statist. Rev., vol. 50, pp. 317-326, 1982.
    • (1982) Int. Statist. Rev. , vol.50 , pp. 317-326
    • Narula, S.C.1    Wellington, J.F.2
  • 15
    • 50249143180 scopus 로고
    • Total least squares approach for frequency estimation using linear prediction
    • M.A. Rahman and K.B. Yu, "Total least squares approach for frequency estimation using linear prediction," IEEE Trans. Acous. Speech Signal Process., vol. 35, pp. 1440-1454, 1987.
    • (1987) IEEE Trans. Acous. Speech Signal Process. , vol.35 , pp. 1440-1454
    • Rahman, M.A.1    Yu, K.B.2
  • 16
    • 0001074359 scopus 로고
    • Norms for smoothing and estimation
    • J.R. Rice and J.S. White, "Norms for smoothing and estimation," SIAM Rev., vol. 6, pp. 243-256, 1964.
    • (1964) SIAM Rev. , vol.6 , pp. 243-256
    • Rice, J.R.1    White, J.S.2
  • 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., vol. 17, pp. 110-128, 1996.
    • (1996) SIAM J. Matrix Anal. Appl. , vol.17 , 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., vol. 20, pp. 14-30, 1999.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 14-30
    • Rosen, J.B.1    Park, H.2    Glick, J.3
  • 21
    • 0030270157 scopus 로고    scopus 로고
    • Formulation and solution of structured total least norm problems for parameter estimation
    • S. Van Huffel, H. Park, and J.B. Rosen, "Formulation and solution of structured total least norm problems for parameter estimation," IEEE Trans. Signal Process., vol. 44, pp. 2464-2474, 1996.
    • (1996) IEEE Trans. Signal Process. , vol.44 , pp. 2464-2474
    • Van Huffel, S.1    Park, H.2    Rosen, J.B.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.