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Volumn 19, Issue 2, 2003, Pages 331-354

A sequential minimization algorithm based on the convexification approach

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; COMPUTATIONAL METHODS; LEAST SQUARES APPROXIMATIONS; OPTIMIZATION; PROBLEM SOLVING; VECTORS;

EID: 0037390636     PISSN: 02665611     EISSN: None     Source Type: Journal    
DOI: 10.1088/0266-5611/19/2/306     Document Type: Article
Times cited : (16)

References (20)
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    • Klibanov M V and Timonov A 2001 A new slant on the inverse problems of electromagnetic frequency sounding: 'convexification' of a multiextremal objective function via the Carleman weight functions Inverse Problems 17 1865-87
    • (2001) Inverse Problems , vol.17 , pp. 1865-1887
    • Klibanov, M.V.1    Timonov, A.2
  • 2
    • 0344448587 scopus 로고
    • An algorithm for the numerical solution of the inverse problem of MT sounding
    • Moscow: Moscow State University (in Russian)
    • Dmitriev V I and Alekseeva N V 1984 An algorithm for the numerical solution of the inverse problem of MT sounding Software Library for Geophysics (Moscow: Moscow State University) (in Russian)
    • (1984) Software Library for Geophysics
    • Dmitriev, V.I.1    Alekseeva, N.V.2
  • 3
    • 84968478878 scopus 로고
    • The homotopy continuation method: Numerically implementable topological procedures
    • Alexander J C and Yorke J A 1978 The homotopy continuation method: numerically implementable topological procedures Trans. Am. Math. Soc. 242 271-84
    • (1978) Trans. Am. Math. Soc. , vol.242 , pp. 271-284
    • Alexander, J.C.1    Yorke, J.A.2
  • 4
    • 0036538551 scopus 로고    scopus 로고
    • A steepest descent algorithm for the global minimization of the Tikhonov functional
    • Ramlau R 2002 A steepest descent algorithm for the global minimization of the Tikhonov functional Inverse Problems 18 381-403
    • (2002) Inverse Problems , vol.18 , pp. 381-403
    • Ramlau, R.1
  • 5
    • 0000183429 scopus 로고    scopus 로고
    • On optimization techniques for solving nonlinear inverse problems
    • Haber E, Asher U M and Oldenburg D 2000 On optimization techniques for solving nonlinear inverse problems Inverse Problems 16 1263-80
    • (2000) Inverse Problems , vol.16 , pp. 1263-1280
    • Haber, E.1    Asher, U.M.2    Oldenburg, D.3
  • 6
    • 0001543103 scopus 로고    scopus 로고
    • Solution strategies for two- and three-dimensional electromagnetic inverse problems
    • Newman G A and Harvesten G M 2000 Solution strategies for two- and three-dimensional electromagnetic inverse problems Inverse Problems 16 1357-75
    • (2000) Inverse Problems , vol.16 , pp. 1357-1375
    • Newman, G.A.1    Harvesten, G.M.2
  • 8
    • 0025448414 scopus 로고
    • Determining the resistors in a network
    • Curtis E B and Morrow J A 1990 Determining the resistors in a network SIAM J. Appl. Math. 50 931-41
    • (1990) SIAM J. Appl. Math. , vol.50 , pp. 931-941
    • Curtis, E.B.1    Morrow, J.A.2
  • 10
    • 0000879452 scopus 로고
    • On the inverse scattering problem for the Helmholtz equation in one dimension
    • Chen Y and Rokhlin V 1992 On the inverse scattering problem for the Helmholtz equation in one dimension Inverse Problems 8 365-91
    • (1992) Inverse Problems , vol.8 , pp. 365-391
    • Chen, Y.1    Rokhlin, V.2
  • 12
    • 9244261787 scopus 로고
    • Mathematical basis of the theory of electromagnetic soundings
    • Tikhonov A N 1965 Mathematical basis of the theory of electromagnetic soundings USSR Comput. Math. Math. Phys. 5 207-11
    • (1965) USSR Comput. Math. Math. Phys. , vol.5 , pp. 207-211
    • Tikhonov, A.N.1
  • 14
    • 0001752687 scopus 로고    scopus 로고
    • Global convexity in a three-dimensional inverse acoustic problem
    • Klibanov M V 1997 Global convexity in a three-dimensional inverse acoustic problem SIAM J. Math. Anal. 28 1371-88
    • (1997) SIAM J. Math. Anal. , vol.28 , pp. 1371-1388
    • Klibanov, M.V.1
  • 15
    • 0000418073 scopus 로고
    • On stability of inverse problems
    • Tikhonov A N 1943 On stability of inverse problems Sov. Math. Dokl. 39 195-8
    • (1943) Sov. Math. Dokl. , vol.39 , pp. 195-198
    • Tikhonov, A.N.1
  • 17
    • 0030328990 scopus 로고    scopus 로고
    • Approximation of unbounded operators by bounded operators and related extremal problems
    • Arestov V V 1996 Approximation of unbounded operators by bounded operators and related extremal problems Russian Math. Surv. 51 1093-126
    • (1996) Russian Math. Surv. , vol.51 , pp. 1093-1126
    • Arestov, V.V.1
  • 19
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    • Design and testing of a generalised reduced gradient code for nonlinear programming
    • Lasdon L S, Waren A D, Jain A and Ratner M 1978 Design and testing of a generalised reduced gradient code for nonlinear programming ACM Trans. Math. Softw. 4 34-50
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  • 20
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    • Numerical modelling of electromagnetic frequency sounding in marine environments: A comparison of local optimization techniques
    • Krylstedt P, Mattsson J and Timonov A 2001 Numerical modelling of electromagnetic frequency sounding in marine environments: a comparison of local optimization techniques Proc. MARELEC (Stockholm, 2001)
    • (2001) Proc. MARELEC (Stockholm, 2001)
    • Krylstedt, P.1    Mattsson, J.2    Timonov, A.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.