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Volumn 168, Issue 2, 2007, Pages 473-490

Invariance, groups, and non-uniqueness: The discrete case

Author keywords

Inverse theory; Non linear inversion; Traveltime tomography

Indexed keywords

INVERSE ANALYSIS; INVERSE PROBLEM; MATRIX; NUMERICAL METHOD; STATISTICAL ANALYSIS;

EID: 33846656019     PISSN: 0956540X     EISSN: 1365246X     Source Type: Journal    
DOI: 10.1111/j.1365-246X.2006.03161.x     Document Type: Article
Times cited : (11)

References (37)
  • 2
    • 0002009151 scopus 로고
    • Inference from inadequate and inaccurate data
    • Backus, G., 1970. Inference from inadequate and inaccurate data, Proc. Nat. Acad. Sci. U.S.A., 65, 1-7.
    • (1970) Proc. Nat. Acad. Sci. U.S.A. , vol.65 , pp. 1-7
    • Backus, G.1
  • 3
    • 0024486411 scopus 로고
    • Confidence set inference with a prior quadratic bound
    • Backus, G., 1989. Confidence set inference with a prior quadratic bound, Geophys. J., 97, 119-150.
    • (1989) Geophys. J. , vol.97 , pp. 119-150
    • Backus, G.1
  • 4
    • 84977245393 scopus 로고
    • The resolving power of gross Earth data
    • Backus, G. & Gilbert, F., 1968. The resolving power of gross Earth data, Geophys. J. R. astr. Soc., 16, 169-205.
    • (1968) Geophys. J. R. Astr. Soc. , vol.16 , pp. 169-205
    • Backus, G.1    Gilbert, F.2
  • 5
    • 0000786913 scopus 로고
    • Uniqueness in the inversion of inaccurate gross Earth data
    • Backus, G. & Gilbert, F., 1970. Uniqueness in the inversion of inaccurate gross Earth data, Phil. Trans. R. Soc. Lond., 266A, 123-192.
    • (1970) Phil. Trans. R. Soc. Lond. , vol.266 A , pp. 123-192
    • Backus, G.1    Gilbert, F.2
  • 7
    • 0029730393 scopus 로고    scopus 로고
    • Nullspace shuttles
    • Deal, M.M. & Nolet, G., 1996. Nullspace shuttles, Geophys. J. Int., 124, 372-380.
    • (1996) Geophys. J. Int. , vol.124 , pp. 372-380
    • Deal, M.M.1    Nolet, G.2
  • 13
    • 0242410501 scopus 로고    scopus 로고
    • Pressure and fluid saturation prediction in a multicomponent reservoir using combined seismic and electromagnetic imaging
    • Hoversten, G.M., Gritto, R., Washbourne, J. & Daley, T., 2003. Pressure and fluid saturation prediction in a multicomponent reservoir using combined seismic and electromagnetic imaging, Geophysics, 68, 1580-1591.
    • (2003) Geophysics , vol.68 , pp. 1580-1591
    • Hoversten, G.M.1    Gritto, R.2    Washbourne, J.3    Daley, T.4
  • 14
    • 84984503236 scopus 로고
    • Interpretation of inaccurate, insufficient, and inconsistent data
    • Jackson, D.D., 1972. Interpretation of inaccurate, insufficient, and inconsistent data, Geophys. J. R. astr. Soc., 28, 97-109.
    • (1972) Geophys. J. R. Astr. Soc. , vol.28 , pp. 97-109
    • Jackson, D.D.1
  • 15
    • 84984421595 scopus 로고
    • The use of a priori data to resolve non-uniqueness in linear inversion
    • Jackson, D.D., 1979. The use of a priori data to resolve non-uniqueness in linear inversion, Geophys. J. R. astr. Soc., 57, 137-157.
    • (1979) Geophys. J. R. Astr. Soc. , vol.57 , pp. 137-157
    • Jackson, D.D.1
  • 17
    • 0029481451 scopus 로고
    • Monte Carlo sampling of solutions to inverse problems
    • Mosegaard, K. & Tarantola, A., 1995. Monte Carlo sampling of solutions to inverse problems, J. geophys. Res., 100, 12431-12447.
    • (1995) J. Geophys. Res. , vol.100 , pp. 12431-12447
    • Mosegaard, K.1    Tarantola, A.2
  • 19
    • 0020812904 scopus 로고
    • Funnel functions in linear and nonlinear appraisal
    • Oldenburg, D.W., 1983. Funnel functions in linear and nonlinear appraisal, J. geophys. Res., 88, 7387-7398.
    • (1983) J. Geophys. Res. , vol.88 , pp. 7387-7398
    • Oldenburg, D.W.1
  • 21
    • 0016115869 scopus 로고
    • Best bounds on density and depth from gravity data
    • Parker, R., 1974. Best bounds on density and depth from gravity data, Geophysics, 39, 644-649.
    • (1974) Geophysics , vol.39 , pp. 644-649
    • Parker, R.1
  • 23
    • 0000002378 scopus 로고
    • Earth models obtained by Monte Carlo inversion
    • Press, F., 1968. Earth models obtained by Monte Carlo inversion, J. geophys. Res., 73, 5223-5234.
    • (1968) J. Geophys. Res. , vol.73 , pp. 5223-5234
    • Press, F.1
  • 25
    • 0031141906 scopus 로고    scopus 로고
    • Improved inversion through the use of the null-space
    • Rowbotham, P.S. & Pratt, R.G., 1997. Improved inversion through the use of the null-space, Geophysics, 62, 869-883.
    • (1997) Geophysics , vol.62 , pp. 869-883
    • Rowbotham, P.S.1    Pratt, R.G.2
  • 26
    • 84980230843 scopus 로고
    • Positivity constraints in linear inverse problems - I. General theory
    • Sabatier, P.C., 1977. Positivity constraints in linear inverse problems - I. General theory, Geophys. J. R. astr. Soc., 48, 415-441.
    • (1977) Geophys. J. R. Astr. Soc. , vol.48 , pp. 415-441
    • Sabatier, P.C.1
  • 27
    • 0017545136 scopus 로고
    • Some applications of linear programming to the inverse gravity problem
    • Safon, C., Vasseur, G. & Cuer, M., 1977. Some applications of linear programming to the inverse gravity problem, Geophysics, 42, 1215-1229.
    • (1977) Geophysics , vol.42 , pp. 1215-1229
    • Safon, C.1    Vasseur, G.2    Cuer, M.3
  • 28
    • 0002455337 scopus 로고    scopus 로고
    • Exploring multi-dimensional landscapes without a map
    • Sambridge, M., 1998. Exploring multi-dimensional landscapes without a map, Inverse Problems, 14, 427-440.
    • (1998) Inverse Problems , vol.14 , pp. 427-440
    • Sambridge, M.1
  • 29
    • 0026172482 scopus 로고
    • An extension of Backus-Gilbert theory to nonlinear inverse problems
    • Snieder, R., 1991. An extension of Backus-Gilbert theory to nonlinear inverse problems, Inverse Problems, 7, 409-433.
    • (1991) Inverse Problems , vol.7 , pp. 409-433
    • Snieder, R.1
  • 30
    • 0027061029 scopus 로고
    • Inference of infinite-dimensional inverse problems: Discretization and duality
    • Stark, P.B., 1992. Inference of infinite-dimensional inverse problems: Discretization and duality, J. geophys. Res., 97, 14055-14082.
    • (1992) J. Geophys. Res. , vol.97 , pp. 14055-14082
    • Stark, P.B.1
  • 32
    • 0029472636 scopus 로고
    • A transformational approach to geophysical inverse problems
    • Vasco, D.W., 1995. A transformational approach to geophysical inverse problems, Geophys. J. Int., 123, 183-212.
    • (1995) Geophys. J. Int. , vol.123 , pp. 183-212
    • Vasco, D.W.1
  • 33
    • 0031460668 scopus 로고    scopus 로고
    • Groups, algebras, and the non-linearity of geophysical inverse problems
    • Vasco, D.W., 1997. Groups, algebras, and the non-linearity of geophysical inverse problems, Geophys. J. Int., 131, 9-23.
    • (1997) Geophys. J. Int. , vol.131 , pp. 9-23
    • Vasco, D.W.1
  • 34
    • 0007735335 scopus 로고    scopus 로고
    • Regularization and trade-off associated with nonlinear geophysical inverse problems: Penalty homotopies
    • Vasco, D.W., 1998. Regularization and trade-off associated with nonlinear geophysical inverse problems: Penalty homotopies, Inverse Problems, 14, 1033-1052.
    • (1998) Inverse Problems , vol.14 , pp. 1033-1052
    • Vasco, D.W.1
  • 35
    • 0002914412 scopus 로고    scopus 로고
    • Intersections, ideals, and inversion
    • Vasco, D.W., 1999. Intersections, ideals, and inversion, Inverse Problems, 15, 1573-1602.
    • (1999) Inverse Problems , vol.15 , pp. 1573-1602
    • Vasco, D.W.1
  • 36
    • 0033801023 scopus 로고    scopus 로고
    • An algebraic formulation of geophysical inverse problems
    • Vasco, D.W., 2000. An algebraic formulation of geophysical inverse problems, Geophys. J. Int., 142, 970-990.
    • (2000) Geophys. J. Int. , vol.142 , pp. 970-990
    • Vasco, D.W.1
  • 37
    • 84995094196 scopus 로고
    • The general linear inverse problem: Implication of surface waves and free oscillations for Earth structure
    • Wiggins, R.A., 1972. The general linear inverse problem: Implication of surface waves and free oscillations for Earth structure, Rev. geophys. Space. Phys., 10, 251-285.
    • (1972) Rev. Geophys. Space. Phys. , vol.10 , pp. 251-285
    • Wiggins, R.A.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.