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Volumn 141, Issue 1, 2006, Pages 63-69

A strongly convergent reflection method for finding the projection onto the intersection of two closed convex sets in a Hilbert space

Author keywords

Best approximation problem; Convex set; Projection; Strong convergence

Indexed keywords


EID: 33745856582     PISSN: 00219045     EISSN: 10960430     Source Type: Journal    
DOI: 10.1016/j.jat.2006.01.003     Document Type: Article
Times cited : (28)

References (9)
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    • A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces
    • Bauschke H.H., and Combettes P.L. A weak-to-strong convergence principle for Fejér-monotone methods in Hilbert spaces. Math. Oper. Res. 26 (2001) 248-264
    • (2001) Math. Oper. Res. , vol.26 , pp. 248-264
    • Bauschke, H.H.1    Combettes, P.L.2
  • 3
    • 0038266150 scopus 로고    scopus 로고
    • Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization
    • Bauschke H.H., Combettes P.L., and Luke D.R. Phase retrieval, error reduction algorithm, and Fienup variants: a view from convex optimization. J. Opt. Soc. Amer. A 19 (2002) 1334-1345
    • (2002) J. Opt. Soc. Amer. A , vol.19 , pp. 1334-1345
    • Bauschke, H.H.1    Combettes, P.L.2    Luke, D.R.3
  • 4
    • 2942687455 scopus 로고    scopus 로고
    • Finding best approximation pairs relative to two closed convex sets in Hilbert spaces
    • Bauschke H.H., Combettes P.L., and Luke D.R. Finding best approximation pairs relative to two closed convex sets in Hilbert spaces. J. Approx. Theory 127 (2004) 178-192
    • (2004) J. Approx. Theory , vol.127 , pp. 178-192
    • Bauschke, H.H.1    Combettes, P.L.2    Luke, D.R.3
  • 7
    • 33745847669 scopus 로고    scopus 로고
    • Y. Haugazeau, Sur les Inéquations Variationnelles et la Minimisation de Fonctionnelles Convexes, Thèse, Université de Paris, France, 1968.
  • 8
    • 0000345334 scopus 로고
    • Splitting algorithms for the sum of two nonlinear operators
    • Lions P.L., and Mercier B. Splitting algorithms for the sum of two nonlinear operators. SIAM J. Numer. Anal. 16 (1979) 964-979
    • (1979) SIAM J. Numer. Anal. , vol.16 , pp. 964-979
    • Lions, P.L.1    Mercier, B.2
  • 9
    • 84987937647 scopus 로고
    • Éclatement de contraintes en parallèle pour la minimisation d'une forme quadratique
    • Springer, New York
    • Pierra G. Éclatement de contraintes en parallèle pour la minimisation d'une forme quadratique. Lecture Notes in Computer Science vol. 41 (1976), Springer, New York 200-218
    • (1976) Lecture Notes in Computer Science , vol.41 , pp. 200-218
    • Pierra, G.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.