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Volumn 30, Issue 6, 1982, Pages 451-468

Generalized least-squares solutions to quasi-linear inverse problems with a priori information

Author keywords

[No Author keywords available]

Indexed keywords

GEOPHYSICS;

EID: 0020331370     PISSN: 00223743     EISSN: None     Source Type: Journal    
DOI: 10.4294/jpe1952.30.451     Document Type: Article
Times cited : (43)

References (17)
  • 1
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    • Numerical applications of a formalism for geophysical inverse problems
    • Backus, G. and F. Gilbert, Numerical applications of a formalism for geophysical inverse problems, Geophys. J. R. Astron. Soc, 13, 247-276, 1967.
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    • Backus, G.1    Gilbert, F.2
  • 2
    • 84977245393 scopus 로고
    • The resolving power of gross earth data
    • Backus, G. and F. Gilbert, The resolving power of gross earth data, Geophys. J. R. Astron. Soc, 16, 169-205, 1968.
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    • Backus, G.1    Gilbert, F.2
  • 3
    • 0000786913 scopus 로고
    • Uniqueness in the inversion of inaccurate gross earth data
    • Ser. A
    • Backus, G. and F. Gilbert, Uniqueness in the inversion of inaccurate gross earth data, Philos. Trans. R. Soc. London, Ser. A, 266, 123-192, 1970.
    • (1970) Philos. Trans. R. Soc. London , vol.266 , pp. 123-192
    • Backus, G.1    Gilbert, F.2
  • 4
    • 57849129611 scopus 로고
    • A principal axis transformation for non-Hermitian matrices
    • Eckart, C. and G. Young, A principal axis transformation for non-Hermitian matrices, Am. Math. Soc. Bull, 45, 118-121, 1939.
    • (1939) Am. Math. Soc. Bull , vol.45 , pp. 118-121
    • Eckart, C.1    Young, G.2
  • 5
    • 49849114033 scopus 로고
    • Well-posed stochastic extension of ill-posed linear problems
    • Franklin, J.N. Well-posed stochastic extension of ill-posed linear problems, J. Math. Anal. Appl, 31, 682-716, 1970.
    • (1970) J. Math. Anal. Appl , vol.31 , pp. 682-716
    • Franklin, J.N.1
  • 6
    • 0021067545 scopus 로고    scopus 로고
    • Spatial distribution of microearthquakes beneath the Japan Trench from ocean bottom seismographic observations, Geophys, J
    • 1983 (in press)
    • Hirata, N. T. Yamada, H. Shimamura, K. Suyehiro, and H. Inatani, Spatial distribution of microearthquakes beneath the Japan Trench from ocean bottom seismographic observations, Geophys, J. R. Astron. Soc, 1983 (in press).
    • R. Astron. Soc
    • Hirata, N.1    Yamada, T.2    Shimamura, H.3    Suyehiro, K.4    Inatani, H.5
  • 7
    • 84984503236 scopus 로고
    • Interpretation of inaccurate, insufficient and inconsistent data
    • Jackson, D.D. Interpretation of inaccurate, insufficient and inconsistent data, Geophys. J.R. Astron, Soc, 28, 97-109, 1972.
    • (1972) Geophys. J.R. Astron, Soc , vol.28 , pp. 97-109
    • Jackson, D.D.1
  • 8
    • 84984421595 scopus 로고
    • The use of a priori data to resolve non-uniqueness in linear inversion, Geophys
    • Jackson, D D. The use of a priori data to resolve non-uniqueness in linear inversion, Geophys. J. R. Astron. Soc, 57, 137-157, 1979.
    • (1979) J. R. Astron. Soc , vol.57 , pp. 137-157
    • Jackson, D.D.1
  • 11
    • 0000873069 scopus 로고
    • A method for the solution of certain non-linear problems in least-squares
    • Levenberg, K. A method for the solution of certain non-linear problems in least-squares, Q. Appl. Math. 2, 164-168, 1944.
    • (1944) Q. Appl. Math. , vol.2 , pp. 164-168
    • Levenberg, K.1
  • 12
    • 0000169232 scopus 로고
    • An algorithm for least-squares estimation of nonlinear parameters
    • Marquardt, D.W. An algorithm for least-squares estimation of nonlinear parameters, J. Soc Ind. Appl. Math. 11, 431-441, 1963.
    • (1963) J. Soc Ind. Appl. Math. , vol.11 , pp. 431-441
    • Marquardt, D.W.1
  • 13
    • 84944477553 scopus 로고
    • Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation
    • Marquardt, D.W. Generalized inverses, ridge regression, biased linear estimation, and nonlinear estimation, Technometrics, 12, 591-612, 1970.
    • (1970) Technometrics , vol.12 , pp. 591-612
    • Marquardt, D.W.1
  • 14
    • 0021036815 scopus 로고    scopus 로고
    • Study on coseismic and postseismic crustal movements associated with the 1923 Kanto earthquake
    • Special Issue, 1983 (in press)
    • Matsu'ura, M. and T. Iwasaki, Study on coseismic and postseismic crustal movements associated with the 1923 Kanto earthquake, Tectonophysics, Special Issue, 1983 (in press).
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    • Matsu'ura, M.1    Iwasaki, T.2
  • 15
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    • A generalized inverse for matrices
    • Penrose, R. A generalized inverse for matrices, Proc. Cambridge Philos. Soc, 51,406-413,1955.
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    • Penrose, R.1
  • 16
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    • Generalized nonlinear inverse problems solved using the least squares criterion
    • Tarantola, A. and B. Valettf, Generalized nonlinear inverse problems solved using the least squares criterion, Rev. Geophys. Space Phys. 20, 219-232, 1982.
    • (1982) Rev. Geophys. Space Phys. , vol.20 , pp. 219-232
    • Tarantola, A.1    Valettf, B.2
  • 17
    • 84995094196 scopus 로고
    • The general linear inverse problem: Implication of surface waves and free oscillations for earth structure
    • Wiggins, R.A. The general linear inverse problem: Implication of surface waves and free oscillations for earth structure, Rev. Geophys. Space Phys. 10, 251-285, 1972.
    • (1972) Rev. Geophys. Space Phys. , vol.10 , pp. 251-285
    • Wiggins, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.