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Volumn 25, Issue 5-6, 2004, Pages 515-529

On second-order properties of the moreau-yosida regularization for constrained nonsmooth convex programs

Author keywords

Moreau Yosida regularization; Piecewise Ck functions; Semismooth functions

Indexed keywords

FUNCTIONS; MATRIX ALGEBRA; OPTIMIZATION; PROBLEM SOLVING; SET THEORY; VECTORS;

EID: 11144298746     PISSN: 01630563     EISSN: None     Source Type: Journal    
DOI: 10.1081/NFA-200042235     Document Type: Article
Times cited : (15)

References (26)
  • 1
    • 0023842488 scopus 로고
    • Second-order necessary conditions in semismooth optimization
    • Chaney, R. W. (1988). Second-order necessary conditions in semismooth optimization. Math. Programming 40(1):95-109.
    • (1988) Math. Programming , vol.40 , Issue.1 , pp. 95-109
    • Chaney, R.W.1
  • 6
    • 0030508716 scopus 로고    scopus 로고
    • A Global and superlinear convergent algorithm for nonsmooth convex minimization
    • Fukushima, M., Qi, L. (1996). A Global and superlinear convergent algorithm for nonsmooth convex minimization. SIAM J. Optim. 6(4):1106-1120.
    • (1996) SIAM J. Optim. , vol.6 , Issue.4 , pp. 1106-1120
    • Fukushima, M.1    Qi, L.2
  • 8
    • 0025208765 scopus 로고
    • Proximity control in bundle methods for convex nondifferentiable minimization
    • Kiwiel, K. (1990). Proximity control in bundle methods for convex nondifferentiable minimization. Math. Programming 46(1):105-122.
    • (1990) Math. Programming , vol.46 , Issue.1 , pp. 105-122
    • Kiwiel, K.1
  • 9
    • 0000525522 scopus 로고
    • An approach to variable metric methods
    • Henry, J., Yvon, J.-P., eds. Lecture notes in Control and Information Sciences 197. Berlin: Springer-Verlag
    • Lemaréchal, C., Sagastizábal, C. (1994). An approach to variable metric methods. In: Henry, J., Yvon, J.-P., eds. Systems Modelling and Optimization. Lecture notes in Control and Information Sciences 197. Berlin: Springer-Verlag, pp. 144-162.
    • (1994) Systems Modelling and Optimization , pp. 144-162
    • Lemaréchal, C.1    Sagastizábal, C.2
  • 10
    • 0000275440 scopus 로고    scopus 로고
    • Variable metric bundle methods: From conceptual to implementable forms
    • Lemaréchal, C., Sagastizábal, C. (1997a). Variable metric bundle methods: From conceptual to implementable forms. Math. Programming 76(3):393-410.
    • (1997) Math. Programming , vol.76 , Issue.3 , pp. 393-410
    • Lemaréchal, C.1    Sagastizábal, C.2
  • 11
    • 0040165092 scopus 로고    scopus 로고
    • Practical aspects of the Moreau-Yosida regularization I: Theoretical preliminaries
    • Lemaréchal, C., Sagastizábal, C. (1997b). Practical aspects of the Moreau-Yosida regularization I: Theoretical preliminaries. SIAM J. Optim. 7(2):367-385.
    • (1997) SIAM J. Optim. , vol.7 , Issue.2 , pp. 367-385
    • Lemaréchal, C.1    Sagastizábal, C.2
  • 12
    • 0000851851 scopus 로고
    • On a bundle method for nonsmooth optimization
    • Mangasarian, O. L., Meyer, R. R., Robinson, S. M., eds. New York: Academic Press
    • Lemaréchal, C., Strodiot, J. J., Bihain, A. (1981). On a bundle method for nonsmooth optimization. In: Mangasarian, O. L., Meyer, R. R., Robinson, S. M., eds. Nonlinear Programming 4. New York: Academic Press, pp. 245-282.
    • (1981) Nonlinear Programming , vol.4 , pp. 245-282
    • Lemaréchal, C.1    Strodiot, J.J.2    Bihain, A.3
  • 17
    • 0030134439 scopus 로고    scopus 로고
    • Piecewise smoothness, local invertibility, and parametric analysis of normal maps
    • Pang, J. S., Ralph, D. (1996). Piecewise smoothness, local invertibility, and parametric analysis of normal maps. Math. Oper. Res. 21(2):401-426.
    • (1996) Math. Oper. Res. , vol.21 , Issue.2 , pp. 401-426
    • Pang, J.S.1    Ralph, D.2
  • 18
    • 0010041380 scopus 로고
    • A general method of solving extremum problems
    • Poljak, B. T. (1967). A general method of solving extremum problems. Dokl. Akad. Nauk SSSR. 174:33-36.
    • (1967) Dokl. Akad. Nauk SSSR , vol.174 , pp. 33-36
    • Poljak, B.T.1
  • 20
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • Qi, L., Sun, J. (1993). A nonsmooth version of Newton's method. Math. Programming 58(3):353-367.
    • (1993) Math. Programming , vol.58 , Issue.3 , pp. 353-367
    • Qi, L.1    Sun, J.2
  • 21
    • 0001517804 scopus 로고    scopus 로고
    • A preconditioning proximal Newton method for nondifferentiable convex optimization
    • Qi, L., Chen, X. (1997). A preconditioning proximal Newton method for nondifferentiable convex optimization. Math. Programming 76(3):411-429.
    • (1997) Math. Programming , vol.76 , Issue.3 , pp. 411-429
    • Qi, L.1    Chen, X.2
  • 23
    • 84966234425 scopus 로고
    • Maximal monotone relations and the second derivatives on nonsmooth functions
    • Rockafellar, R. T. (1985). Maximal monotone relations and the second derivatives on nonsmooth functions. Ann. Inst. H. Poincaré Anal. Non Linéaire. 2(3): 167-184.
    • (1985) Ann. Inst. H. Poincaré Anal. Non Linéaire , vol.2 , Issue.3 , pp. 167-184
    • Rockafellar, R.T.1
  • 24
    • 0642273938 scopus 로고    scopus 로고
    • On a conjecture in Moreau-Yosida regularization of a nonsmooth convex function
    • Sun, D., Han, J. (1997). On a conjecture in Moreau-Yosida regularization of a nonsmooth convex function. Chinese Sci. Bull. 42(17):1140-1143.
    • (1997) Chinese Sci. Bull. , vol.42 , Issue.17 , pp. 1140-1143
    • Sun, D.1    Han, J.2
  • 26
    • 11144295796 scopus 로고    scopus 로고
    • On Piecewise smoothness of a lagrangian-dual function and its Moreau-Yosida regularization
    • DAMTP of University of Cambridge
    • Zhao, G., Meng, F. (2000). On Piecewise smoothness of a lagrangian-dual function and its Moreau-Yosida regularization. Research Report, DAMTP of University of Cambridge.
    • (2000) Research Report
    • Zhao, G.1    Meng, F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.