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Volumn 89, Issue 1, 1996, Pages 221-226

Convergence of the steepest descent method for minimizing quasiconvex functions

Author keywords

Armijo's line search; Convex programming; Steepest descent methods

Indexed keywords

STEEPEST DESCENT METHOD;

EID: 0030534338     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/BF02192649     Document Type: Article
Times cited : (57)

References (14)
  • 1
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    • Méthode générale pour la résolution des systèmes d'équations simultanées
    • Paris
    • CAUCHY, A., Méthode Générale pour la Résolution des Systèmes d'Équations Simultanées, Comptes Rendus de Académie des Sciences, Paris, Vol. 25, pp. 536-538, 1847.
    • (1847) Comptes Rendus de Académie des Sciences , vol.25 , pp. 536-538
    • Cauchy, A.1
  • 2
    • 84966275544 scopus 로고
    • Minimization of functions having continuous partial derivatives
    • ARMIJO, L., Minimization of Functions Having Continuous Partial Derivatives, Pacific Journal of Mathematics, Vol. 16, pp. 1-3, 1966.
    • (1966) Pacific Journal of Mathematics , vol.16 , pp. 1-3
    • Armijo, L.1
  • 3
    • 0040600146 scopus 로고
    • Full convergence of the steepest descent method with inexact line searches
    • BURACHIK, R., GRANA DRUMMOND, L. M., IUSEM, A. N., and SVAITER, B. F., Full Convergence of the Steepest Descent Method with Inexact Line Searches, Optimization, Vol. 32, pp. 137-146, 1995.
    • (1995) Optimization , vol.32 , pp. 137-146
    • Burachik, R.1    Grana Drummond, L.M.2    Iusem, A.N.3    Svaiter, B.F.4
  • 4
    • 0020912156 scopus 로고
    • An aggregate subgradient method for nonsmooth convex minimization
    • KIWIEL, K. C., An Aggregate Subgradient Method for Nonsmooth Convex Minimization, Mathematical Programming, Vol. 27, pp. 320-341, 1983.
    • (1983) Mathematical Programming , vol.27 , pp. 320-341
    • Kiwiel, K.C.1
  • 5
    • 0023453570 scopus 로고
    • A direct method of linearizations for continuous minimax problems
    • KIWIEL, K. C., A Direct Method of Linearizations for Continuous Minimax Problems, Journal of Optimization Theory and Applications, Vol. 55, pp. 271-287, 1987.
    • (1987) Journal of Optimization Theory and Applications , vol.55 , pp. 271-287
    • Kiwiel, K.C.1
  • 6
    • 0003775298 scopus 로고
    • Mc-Graw-Hill, New York, New York, Reprinted by SIAM, Philadelphia, Pennsylvania
    • MANGASARIAN, O. L., Nonlinear Programming, Mc-Graw-Hill, New York, New York, 1969; Reprinted by SIAM, Philadelphia, Pennsylvania, 1994.
    • (1969) Nonlinear Programming
    • Mangasarian, O.L.1
  • 13
    • 0022717921 scopus 로고
    • A linearization method for minimizing certain quasidifferentiable functions
    • KIWIEL, K. C., A Linearization Method for Minimizing Certain Quasidifferentiable Functions, Mathematical Programming Study, Vol. 29, pp. 85-94, 1986.
    • (1986) Mathematical Programming Study , vol.29 , pp. 85-94
    • Kiwiel, K.C.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.