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Volumn 65, Issue 6, 2004, Pages 579-598

Kaczmarz extended algorithm for tomographic image reconstruction from limited-data

Author keywords

EM geotomography; Kaczmarz algorithm; Limited data tomography; Linear least squares problems

Indexed keywords

ALGORITHMS; ELECTROMAGNETISM; LEAST SQUARES APPROXIMATIONS; LINEAR SYSTEMS; MATRIX ALGEBRA; PROBLEM SOLVING; TOMOGRAPHY; VECTORS;

EID: 2142825025     PISSN: 03784754     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.matcom.2004.01.021     Document Type: Article
Times cited : (79)

References (17)
  • 2
    • 0020718577 scopus 로고
    • Finite series-expansion reconstruction methods
    • Censor Y., Finite series-expansion reconstruction methods. Proc. IEEE. 71:1983;409-419.
    • (1983) Proc. IEEE , vol.71 , pp. 409-419
    • Censor, Y.1
  • 3
    • 0002206795 scopus 로고
    • Strong underrelaxation in Kaczmarz's method for inconsistent systems
    • Censor Y., Eggermont P.B., Gordon D., Strong underrelaxation in Kaczmarz's method for inconsistent systems. Numer. Math. 41:1983;83-92.
    • (1983) Numer. Math. , vol.41 , pp. 83-92
    • Censor, Y.1    Eggermont, P.B.2    Gordon, D.3
  • 4
    • 0035341879 scopus 로고    scopus 로고
    • Component averaging: An efficient iterative parallel algorithm for large and sparse unstructured problems
    • Censor Y., Gordon D., Gordon R., Component averaging: an efficient iterative parallel algorithm for large and sparse unstructured problems. Parallel Comput. 27:2001;777-808.
    • (2001) Parallel Comput. , vol.27 , pp. 777-808
    • Censor, Y.1    Gordon, D.2    Gordon, R.3
  • 6
    • 2142779342 scopus 로고    scopus 로고
    • An open question on cyclic relaxation
    • in press
    • A. Dax, An open question on cyclic relaxation, BIT, in press.
    • BIT
    • Dax, A.1
  • 7
    • 0018490963 scopus 로고
    • Computerized geophysical tomography
    • Dines K.A., Lytle R.J., Computerized geophysical tomography. Proc. IEEE. 67:1979;1065-1073.
    • (1979) Proc. IEEE , vol.67 , pp. 1065-1073
    • Dines, K.A.1    Lytle, R.J.2
  • 9
    • 31244432352 scopus 로고    scopus 로고
    • Perturbation bounds for constrained and weighted least squares problems
    • Gulliksson M., , et al. Perturbation bounds for constrained and weighted least squares problems. Linear Alg. Appl. 349:2002;221-232.
    • (2002) Linear Alg. Appl. , vol.349 , pp. 221-232
    • Gulliksson, M.1
  • 10
    • 0039081637 scopus 로고
    • On the acceleration of Kaczmarz's method for inconsistent linear systems
    • Hanke M., Niethammer W., On the acceleration of Kaczmarz's method for inconsistent linear systems. Linear Alg. Appl. 130:1990;83-98.
    • (1990) Linear Alg. Appl. , vol.130 , pp. 83-98
    • Hanke, M.1    Niethammer, W.2
  • 13
    • 0038425949 scopus 로고
    • Least-squares solution of overdetermined inconsistent linear systems using Kaczmarz's relaxation
    • Popa C., Least-squares solution of overdetermined inconsistent linear systems using Kaczmarz's relaxation. Intern. J. Comp. Math. 55:1995;79-89.
    • (1995) Intern. J. Comp. Math. , vol.55 , pp. 79-89
    • Popa, C.1
  • 14
    • 0038087251 scopus 로고    scopus 로고
    • Characterization of the solutions set of inconsistent least-squares problems by an extended Kaczmarz algorithm
    • Popa C., Characterization of the solutions set of inconsistent least-squares problems by an extended Kaczmarz algorithm. Korean J.Comp. Appl. Math. 6(1):1999;51-64.
    • (1999) Korean J.Comp. Appl. Math. , vol.6 , Issue.1 , pp. 51-64
    • Popa, C.1
  • 15
    • 0038425948 scopus 로고    scopus 로고
    • Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems
    • Popa C., Extensions of block-projections methods with relaxation parameters to inconsistent and rank-deficient least-squares problems. BIT. 38(1):1998;151-176.
    • (1998) BIT , vol.38 , Issue.1 , pp. 151-176
    • Popa, C.1
  • 16
    • 0042135710 scopus 로고    scopus 로고
    • Block-projections algorithms with blocks containing mutually orthogonal rows and columns
    • Popa C., Block-projections algorithms with blocks containing mutually orthogonal rows and columns. BIT. 39(2):1999;323-338.
    • (1999) BIT , vol.39 , Issue.2 , pp. 323-338
    • Popa, C.1
  • 17
    • 1542269554 scopus 로고
    • Projection method for solving a singular system of linear equations and its applications
    • Tanabe K., Projection method for solving a singular system of linear equations and its applications. Numer. Math. 17:1971;203-214.
    • (1971) Numer. Math. , vol.17 , pp. 203-214
    • Tanabe, K.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.