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Volumn 21, Issue 3, 2013, Pages 431-473

Restricted Normal Cones and the Method of Alternating Projections: Theory

Author keywords

Constraint qualification; Convex set; Friedrichs angle; Nonconvex set; Normal cone; Projection operator; Restricted normal cone; Superregularity

Indexed keywords

CONSTRAINT QUALIFICATION; CONVEX SET; FRIEDRICH ANGLE; METHOD OF ALTERNATING PROJECTIONS; NONCONVEX SETS; NORMAL CONES; PROJECTION OPERATOR; RESTRICTED NORMAL CONE; SUPERREGULARITY;

EID: 84881219813     PISSN: 09276947     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11228-013-0239-2     Document Type: Article
Times cited : (44)

References (20)
  • 3
    • 84881239072 scopus 로고    scopus 로고
    • Restricted normal cones and sparsity optimization with affine constraints
    • (in press). arXiv preprint
    • Bauschke, H. H., Luke, D. R., Phan, H. M., Wang, X.: Restricted normal cones and sparsity optimization with affine constraints. Found. Comput. Math. (2012, in press). arXiv preprint http://arxiv. org.
    • (2012) Found. Comput. Math
    • Bauschke, H.H.1    Luke, D.R.2    Phan, H.M.3    Wang, X.4
  • 8
    • 0002441985 scopus 로고
    • The angle between subspaces of a Hilbert space. In: Approximation Theory, Wavelets and Applications (Maratea, 1994)
    • Kluwer
    • Deutsch, F.: The angle between subspaces of a Hilbert space. In: Approximation Theory, Wavelets and Applications (Maratea, 1994). NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences vol. 454, pp. 107-130. Kluwer (1995).
    • (1995) NATO Advanced Science Institutes Series C: Mathematical and Physical Sciences , vol.454 , pp. 107-130
    • Deutsch, F.1
  • 10
    • 0001913752 scopus 로고
    • Étude sur les variétés et les opérateurs de Julia, avec quelques applications
    • Dixmier, J.: Étude sur les variétés et les opérateurs de Julia, avec quelques applications. Bull. Soc. Math. Fr. 77, 11-101 (1949).
    • (1949) Bull. Soc. Math. Fr. , vol.77 , pp. 11-101
    • Dixmier, J.1
  • 11
    • 84968486297 scopus 로고
    • On certain inequalities and characteristic value problems for analytic functions and for functions of two variables
    • Friedrichs, K.: On certain inequalities and characteristic value problems for analytic functions and for functions of two variables. Trans. Amer. Math. Soc. 41, 321-364 (1937).
    • (1937) Trans. Amer. Math. Soc. , vol.41 , pp. 321-364
    • Friedrichs, K.1
  • 12
    • 70349387487 scopus 로고    scopus 로고
    • Local linear convergence for alternating and averaged nonconvex projections
    • Lewis, A. S., Luke, D. R., Malick, J.: Local linear convergence for alternating and averaged nonconvex projections. Found. Comput. Math. 9, 485-513 (2009).
    • (2009) Found. Comput. Math. , vol.9 , pp. 485-513
    • Lewis, A.S.1    Luke, D.R.2    Malick, J.3
  • 16
    • 0004267646 scopus 로고
    • Princeton: Princeton University Press
    • Rockafellar, R. T.: Convex Analysis. Princeton University Press, Princeton (1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.