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Volumn 16, Issue 4, 2009, Pages 413-425

Characterizing arbitrarily slow convergence in the method of alternating projections

Author keywords

Alternating projections; Angle between subspaces; Cyclic projections; Orthogonal projections; Rate of convergence of the method of alternating projections

Indexed keywords


EID: 77951497783     PISSN: 09696016     EISSN: 14753995     Source Type: Journal    
DOI: 10.1111/j.1475-3995.2008.00682.x     Document Type: Article
Times cited : (42)

References (15)
  • 2
    • 0001448913 scopus 로고
    • On the convergence of von Neumann's alternating projection algorithm for two sets
    • Bauschke, H.H., Borwein, J.M., 1993. On the convergence of von Neumann's alternating projection algorithm for two sets. Set-Valued Analysis 1, 185–212.
    • (1993) Set-Valued Analysis , vol.1 , pp. 185-212
    • Bauschke, H.H.1    Borwein, J.M.2
  • 3
    • 0030246542 scopus 로고    scopus 로고
    • On projection algorithms for solving convex feasibility problems
    • Bauschke, H.H., Borwein, J.M., 1996. On projection algorithms for solving convex feasibility problems. SIAM Review 38, 367–426.
    • (1996) SIAM Review , vol.38 , pp. 367-426
    • Bauschke, H.H.1    Borwein, J.M.2
  • 4
    • 0002351732 scopus 로고    scopus 로고
    • The method of cyclic projections for closed convex sets in Hilbert space
    • Bauschke, H.H., Borwein, J.M., Lewis, A.S., 1997. The method of cyclic projections for closed convex sets in Hilbert space. Contemporary Mathematics 204, 1–38.
    • (1997) Contemporary Mathematics , vol.204 , pp. 1-38
    • Bauschke, H.H.1    Borwein, J.M.2    Lewis, A.S.3
  • 8
    • 33748169660 scopus 로고    scopus 로고
    • The rate of convergence for the cyclic projections algorithm I
    • angles between convex sets
    • Deutsch, F., Hundal, H., 2006a. The rate of convergence for the cyclic projections algorithm I: angles between convex sets. Journal of Approximation Theory 142, 36–55.
    • (2006) Journal of Approximation Theory , vol.142 , pp. 36-55
    • Deutsch, F.1    Hundal, H.2
  • 9
    • 33748195922 scopus 로고    scopus 로고
    • The rate of convergence for the cyclic projections algorithm II
    • norms of nonlinear operators
    • Deutsch, F., Hundal, H., 2006b. The rate of convergence for the cyclic projections algorithm II: norms of nonlinear operators. Journal of Approximation Theory 142, 56–82.
    • (2006) Journal of Approximation Theory , vol.142 , pp. 56-82
    • Deutsch, F.1    Hundal, H.2
  • 10
    • 85040399411 scopus 로고    scopus 로고
    • Characterizing arbitrarily slow convergence for powers of linear operators., SIAM Journal of Optimization, forthcoming
    • Deutsch, F., Hundal, H., 2008. Characterizing arbitrarily slow convergence for powers of linear operators. SIAM Journal of Optimization, forthcoming.
    • (2008)
    • Deutsch, F.1    Hundal, H.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.