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Volumn 102, Issue 6, 2014, Pages 589-600

On the local convergence of the Douglas-Rachford algorithm

Author keywords

Convergence; Discrete dynamical system; Fixed point; Nonconvex feasibility problem; Stability

Indexed keywords


EID: 84903905014     PISSN: 0003889X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s00013-014-0652-2     Document Type: Article
Times cited : (53)

References (15)
  • 3
    • 2942687455 scopus 로고    scopus 로고
    • Finding best approximation pairs relative to two closed convex sets in Hilbert spaces
    • Bauschke H. H., Combettes P. L., Luke D. R.: Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. Journal of Approximation Theory 127, 178-192 (2004).
    • (2004) Journal of Approximation Theory , vol.127 , pp. 178-192
    • Bauschke, H.H.1    Combettes, P.L.2    Luke, D.R.3
  • 5
    • 84903881585 scopus 로고    scopus 로고
    • On cluster points of alternating projections
    • Bauschke H. H., Noll D.: On cluster points of alternating projections. Serdica Mathematical Journal 39, 355-364 (2013).
    • (2013) Serdica Mathematical Journal , vol.39 , pp. 355-364
    • Bauschke, H.H.1    Noll, D.2
  • 6
    • 84890424761 scopus 로고    scopus 로고
    • Projection methods: Swiss Army knives for solving feasibility and best approximation problems with halfspaces
    • in press
    • H. H. Bauschke, and V. R. Koch, Projection methods: Swiss Army knives for solving feasibility and best approximation problems with halfspaces, Contemporary Mathematics, in press.
    • Contemporary Mathematics
    • Bauschke, H.H.1    Koch, V.R.2
  • 7
    • 84967782959 scopus 로고
    • On the numerical solution of heat conduction problems in two or three space variables
    • Douglas J., Rachford H. H.: On the numerical solution of heat conduction problems in two or three space variables. Transactions of the AMS 82, 421-439 (1956).
    • (1956) Transactions of the AMS , vol.82 , pp. 421-439
    • Douglas, J.1    Rachford, H.H.2
  • 9
    • 0000695406 scopus 로고
    • Convergence of sequential and asynchronous nonlinear paracontractions
    • Elsner L., Koltracht I., Neumann M.: Convergence of sequential and asynchronous nonlinear paracontractions. Numerische Mathematik 62, 305-319 (1992).
    • (1992) Numerische Mathematik , vol.62 , pp. 305-319
    • Elsner, L.1    Koltracht, I.2    Neumann, M.3
  • 10
    • 84903899532 scopus 로고    scopus 로고
    • http://www. geogebra. org/cms/en/.
  • 11
    • 84892884190 scopus 로고    scopus 로고
    • Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems
    • Hesse R., Luke D. R.: Nonconvex notions of regularity and convergence of fundamental algorithms for feasibility problems. SIAM Journal on Optimization 23(4), 2397-2419 (2013).
    • (2013) SIAM Journal on Optimization , vol.23 , Issue.4 , pp. 2397-2419
    • Hesse, R.1    Luke, D.R.2
  • 13
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • Lions P.-L., Mercier B.: Splitting algorithms for the sum of two nonlinear operators. SIAM Journal on Numerical Analysis 16, 964-979 (1679).
    • (1679) SIAM Journal on Numerical Analysis , vol.16 , pp. 964-979
    • Lions, P.-L.1    Mercier, B.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.