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Volumn 76, Issue 3, 1997, Pages 411-429

A preconditioning proximal Newton method for nondifferentiable convex optimization

Author keywords

Newton's method; Nondifferentiable convex optimization; Proximal point; Superlinear convergence

Indexed keywords


EID: 0001517804     PISSN: 00255610     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02614391     Document Type: Article
Times cited : (30)

References (20)
  • 5
    • 0021503955 scopus 로고
    • A descent algorithm for nonsmooth convex optimization
    • M. Fukushima, A descent algorithm for nonsmooth convex optimization, Mathematical Programming 30 (1984) 163-175.
    • (1984) Mathematical Programming , vol.30 , pp. 163-175
    • Fukushima, M.1
  • 6
    • 0030508716 scopus 로고    scopus 로고
    • A globally and superlinearly convergent algorithm for nonsmooth convex minimization
    • M. Fukushima and L. Qi, A globally and superlinearly convergent algorithm for nonsmooth convex minimization, SIAM Journal on Optimization 6 (1996) 1106-1120.
    • (1996) SIAM Journal on Optimization , vol.6 , pp. 1106-1120
    • Fukushima, M.1    Qi, L.2
  • 8
    • 0040165092 scopus 로고    scopus 로고
    • Practical aspects of the Moreau-Yosida regularization: Theoretical preliminaries
    • to appear
    • C. Lemaréchal and C. Sagastizábal, Practical aspects of the Moreau-Yosida regularization: theoretical preliminaries, SIAM Journal on Optimization, to appear.
    • SIAM Journal on Optimization
    • Lemaréchal, C.1    Sagastizábal, C.2
  • 9
    • 0001844687 scopus 로고    scopus 로고
    • A quasi-second-order proximal bundle algorithm
    • R. Mifflin, A quasi-second-order proximal bundle algorithm, Mathematical Programming 73 (1996) 51-72.
    • (1996) Mathematical Programming , vol.73 , pp. 51-72
    • Mifflin, R.1
  • 11
    • 0013553960 scopus 로고
    • Second-order nonsmooth analysis
    • D. Du, L. Qi and R. Womersley eds., World Scientific, Singapore
    • R. Poliquin and R.T. Rockafellar, Second-order nonsmooth analysis, in: D. Du, L. Qi and R. Womersley eds., Recent Advances in Nonsmooth Optimization (World Scientific, Singapore, 1995) 322-350.
    • (1995) Recent Advances in Nonsmooth Optimization , pp. 322-350
    • Poliquin, R.1    Rockafellar, R.T.2
  • 12
  • 13
    • 0000607524 scopus 로고
    • Convergence analysis of some algorithms for solving nonsmooth equations
    • L. Qi, Convergence analysis of some algorithms for solving nonsmooth equations, Mathematics of Operations Research 18 (1993) 227-244.
    • (1993) Mathematics of Operations Research , vol.18 , pp. 227-244
    • Qi, L.1
  • 14
    • 0028427060 scopus 로고
    • 1 optimization problems
    • 1 optimization problems, Mathematical Programming 64 (1994) 277-294.
    • (1994) Mathematical Programming , vol.64 , pp. 277-294
    • Qi, L.1
  • 16
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • L. Qi and J. Sun, A nonsmooth version of Newton's method. Mathematical Programming 58 (1993) 353-368.
    • (1993) Mathematical Programming , vol.58 , pp. 353-368
    • Qi, L.1    Sun, J.2
  • 17
    • 21844515540 scopus 로고
    • An SQP Algorithm for extended linear-quadratic problems in stochastic programming
    • L. Qi and R. Womersley, An SQP Algorithm for extended linear-quadratic problems in stochastic programming, Annals of Operations Research 56 (1995) 251-285.
    • (1995) Annals of Operations Research , vol.56 , pp. 251-285
    • Qi, L.1    Womersley, R.2
  • 18
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton, NJ
    • R.T. Rockafellar, Convex Analysis (Princeton University Press, Princeton, NJ, 1970).
    • (1970) Convex Analysis
    • Rockafellar, R.T.1
  • 19
    • 0016950796 scopus 로고
    • Augmented Lagrangians and applications of the proximal point algorithm in convex programming
    • R.T. Rockafellar, Augmented Lagrangians and applications of the proximal point algorithm in convex programming, Mathematics of Operations Research 1 (1976) 97-116.
    • (1976) Mathematics of Operations Research , vol.1 , pp. 97-116
    • Rockafellar, R.T.1
  • 20
    • 84966234425 scopus 로고
    • Maximal monotone relations and the second derivatives of nonsmooth functions
    • R.T. Rockafellar, Maximal monotone relations and the second derivatives of nonsmooth functions, Ann. Inst. H. Poincaré: Analyse Non Linéaire 2 (1985) 167-184.
    • (1985) Ann. Inst. H. Poincaré: Analyse Non Linéaire , vol.2 , pp. 167-184
    • Rockafellar, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.