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Volumn 8, Issue C, 2001, Pages 101-113

Averaging strings of sequential iterations for convex feasibility problems

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EID: 77956677460     PISSN: 1570579X     EISSN: None     Source Type: Book Series    
DOI: 10.1016/S1570-579X(01)80009-4     Document Type: Chapter
Times cited : (96)

References (33)
  • 1
    • 0000198744 scopus 로고
    • Block-iterative methods for parallel computation of solutions to convex feasibility problems
    • Aharoni R., and Censor Y. Block-iterative methods for parallel computation of solutions to convex feasibility problems. Linear Algebra and Its Applications 120 (1989) 165-175
    • (1989) Linear Algebra and Its Applications , vol.120 , pp. 165-175
    • Aharoni, R.1    Censor, Y.2
  • 2
    • 0000746478 scopus 로고
    • A norm convergence result on random products of relaxed projections in Hilbert space
    • Bauschke H.H. A norm convergence result on random products of relaxed projections in Hilbert space. Transactions of the American Mathematical Society 347 (1995) 1365-1373
    • (1995) Transactions of the American Mathematical Society , vol.347 , pp. 1365-1373
    • Bauschke, H.H.1
  • 3
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • Bauschke H.H., and Borwein J.M. On projection algorithms for solving convex feasibility problems. SIAM Review 38 (1996) 367-426
    • (1996) SIAM Review , vol.38 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 4
    • 21744459385 scopus 로고    scopus 로고
    • Legendre functions and the method of random Bregman projections
    • Bauschke H.H., and Borwein J.M. Legendre functions and the method of random Bregman projections. Journal of Convex Analysis 4 (1997) 27-67
    • (1997) Journal of Convex Analysis , vol.4 , pp. 27-67
    • Bauschke, H.H.1    Borwein, J.M.2
  • 5
    • 0002351732 scopus 로고    scopus 로고
    • The method of cyclic projections for closed convex sets in Hilbert space
    • Bauschke H.H., Borwein J.M., and Lewis A.S. The method of cyclic projections for closed convex sets in Hilbert space. Contemporary Mathematics 204 (1997) 1-38
    • (1997) Contemporary Mathematics , vol.204 , pp. 1-38
    • Bauschke, H.H.1    Borwein, J.M.2    Lewis, A.S.3
  • 6
    • 0002057574 scopus 로고
    • On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces
    • Baillon J.M., Bruck R.E., and Reich S. On the asymptotic behavior of nonexpansive mappings and semigroups in Banach spaces. Houston Journal of Mathematics 4 (1978) 1-9
    • (1978) Houston Journal of Mathematics , vol.4 , pp. 1-9
    • Baillon, J.M.1    Bruck, R.E.2    Reich, S.3
  • 7
    • 49949144765 scopus 로고
    • The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming
    • Bregman L.M. The relaxation method of finding the common point of convex sets and its application to the solution of problems in convex programming. USSR Computational Mathematics and Mathematical Physics 7 (1967) 200-217
    • (1967) USSR Computational Mathematics and Mathematical Physics , vol.7 , pp. 200-217
    • Bregman, L.M.1
  • 8
    • 22844453400 scopus 로고    scopus 로고
    • Dykstra's algorithms as the nonlinear extension of Bregman's optimization method
    • Bregman L.M., Censor Y., and Reich S. Dykstra's algorithms as the nonlinear extension of Bregman's optimization method. Journal of Convex Analysis 6 (1999) 319-334
    • (1999) Journal of Convex Analysis , vol.6 , pp. 319-334
    • Bregman, L.M.1    Censor, Y.2    Reich, S.3
  • 9
    • 0000256894 scopus 로고
    • Nonexpansive projections and resolvents of accretive operators in Banach spaces
    • Bruck R.E., and Reich S. Nonexpansive projections and resolvents of accretive operators in Banach spaces. Houston Journal of Mathematics 3 (1977) 459-470
    • (1977) Houston Journal of Mathematics , vol.3 , pp. 459-470
    • Bruck, R.E.1    Reich, S.2
  • 10
    • 0002068851 scopus 로고
    • Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces
    • Butnariu D., and Censor Y. Strong convergence of almost simultaneous block-iterative projection methods in Hilbert spaces. Journal of Computational and Applied Mathematics 53 (1994) 33-42
    • (1994) Journal of Computational and Applied Mathematics , vol.53 , pp. 33-42
    • Butnariu, D.1    Censor, Y.2
  • 11
    • 0031188734 scopus 로고    scopus 로고
    • Iterative averaging of entropic projection for solving stochastic convex feasibility problems
    • Butnariu D., Censor Y., and Reich S. Iterative averaging of entropic projection for solving stochastic convex feasibility problems. Computational Optimization and Applications 8 (1997) 21-39
    • (1997) Computational Optimization and Applications , vol.8 , pp. 21-39
    • Butnariu, D.1    Censor, Y.2    Reich, S.3
  • 12
    • 0000424337 scopus 로고
    • A multiprojection algorithm using Bregman projections in a product space
    • Censor Y., and Elfving T. A multiprojection algorithm using Bregman projections in a product space. Numerical Algorithms 8 (1994) 221-239
    • (1994) Numerical Algorithms , vol.8 , pp. 221-239
    • Censor, Y.1    Elfving, T.2
  • 14
    • 0030456727 scopus 로고    scopus 로고
    • Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization
    • Censor Y., and Reich S. Iterations of paracontractions and firmly nonexpansive operators with applications to feasibility and optimization. Optimization 37 (1996) 323-339
    • (1996) Optimization , vol.37 , pp. 323-339
    • Censor, Y.1    Reich, S.2
  • 16
    • 0001054069 scopus 로고
    • Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari
    • G. C. Calcolo approssimato per le soluzioni dei sistemi di equazioni lineari. La Ricerca Scientifica XVI Series II, Anno IX 1 (1938) 326-333
    • (1938) La Ricerca Scientifica XVI Series II, Anno IX , vol.1 , pp. 326-333
    • G., C.1
  • 18
    • 0028543165 scopus 로고
    • Inconsistent signal feasibility problems: least-squares solutions in a product space
    • Combettes P.L. Inconsistent signal feasibility problems: least-squares solutions in a product space. IEEE Transactions on Signal Processing SP-42 (1994) 2955-2966
    • (1994) IEEE Transactions on Signal Processing , vol.SP-42 , pp. 2955-2966
    • Combettes, P.L.1
  • 21
  • 23
    • 0002416978 scopus 로고
    • Iterative algorithms for large partitioned linear systems, with applications to image reconstruction
    • Eggermont P.P.B., Herman G.T., and Lent A. Iterative algorithms for large partitioned linear systems, with applications to image reconstruction. Linear Algebra and Its Applications 40 (1981) 37-67
    • (1981) Linear Algebra and Its Applications , vol.40 , pp. 37-67
    • Eggermont, P.P.B.1    Herman, G.T.2    Lent, A.3
  • 24
    • 0002865421 scopus 로고
    • Block-iterative methods for consistent and inconsistent linear equations
    • Elfving T. Block-iterative methods for consistent and inconsistent linear equations. Numerische Mathematik 35 (1980) 1-12
    • (1980) Numerische Mathematik , vol.35 , pp. 1-12
    • Elfving, T.1
  • 25
    • 0000695406 scopus 로고
    • Convergence of sequential and asynchronous nonlinear paracontractions
    • Elsner L., Koltracht I., and Neumann M. Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik 62 (1992) 305-319
    • (1992) Numerische Mathematik , vol.62 , pp. 305-319
    • Elsner, L.1    Koltracht, I.2    Neumann, M.3
  • 27
    • 34250130112 scopus 로고
    • Convergence results for an accelerated nonlinear Cimmino algorithm
    • Iusem A.N., and De Pierro A.R. Convergence results for an accelerated nonlinear Cimmino algorithm. Numerische Mathematik 49 (1986) 367-378
    • (1986) Numerische Mathematik , vol.49 , pp. 367-378
    • Iusem, A.N.1    De Pierro, A.R.2
  • 28
    • 0032332405 scopus 로고    scopus 로고
    • Generalized Bregman projections in convex feasibility problems
    • Kiwiel K.C. Generalized Bregman projections in convex feasibility problems. Journal of Optimization Theory and Applications 96 (1998) 139-157
    • (1998) Journal of Optimization Theory and Applications , vol.96 , pp. 139-157
    • Kiwiel, K.C.1
  • 29
    • 0031496463 scopus 로고    scopus 로고
    • A projection-based algorithm for consistent and inconsistent constraints
    • Kotzer T., Cohen N., and Shamir J. A projection-based algorithm for consistent and inconsistent constraints. SIAM Journal on Optimization 7 (1997) 527-546
    • (1997) SIAM Journal on Optimization , vol.7 , pp. 527-546
    • Kotzer, T.1    Cohen, N.2    Shamir, J.3
  • 30
    • 0032606944 scopus 로고    scopus 로고
    • Signal processing under uncertain conditions by parallel projections onto fuzzy sets
    • Lyszyk D., and Shamir J. Signal processing under uncertain conditions by parallel projections onto fuzzy sets. Journal of the Optical Society of America A 16 (1999) 1602-1611
    • (1999) Journal of the Optical Society of America A , vol.16 , pp. 1602-1611
    • Lyszyk, D.1    Shamir, J.2
  • 31
    • 0021201713 scopus 로고
    • Decomposition through formalization in a product space
    • Pierra G. Decomposition through formalization in a product space. Mathematical Programming 28 (1984) 96-115
    • (1984) Mathematical Programming , vol.28 , pp. 96-115
    • Pierra, G.1
  • 32
    • 0038313697 scopus 로고
    • A limit theorem for projections
    • Reich S. A limit theorem for projections. Linear and Multilinear Algebra 13 (1983) 281-290
    • (1983) Linear and Multilinear Algebra , vol.13 , pp. 281-290
    • Reich, S.1
  • 33
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, New Jersey
    • Rockafellar R.T. Convex Analysis (1970), Princeton University Press, Princeton, New Jersey
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


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