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Volumn 87 LNCSE, Issue , 2012, Pages 115-125

Evaluating an element of the Clarke generalized Jacobian of a piecewise differentiable function

Author keywords

Forward mode; Generalized gradient; Nonsmooth analysis; Piecewise differentiable functions

Indexed keywords

ABSOLUTE VALUES; AUTOMATIC DIFFERENTIATIONS; DIFFERENTIABLE FUNCTIONS; EQUATION SOLVING; FORWARD MODE; GENERALIZED GRADIENTS; GENERALIZED JACOBIAN; LIPSCHITZ CONTINUOUS; NON-SMOOTH FUNCTIONS; NONSMOOTH ANALYSIS; PIECE-WISE; SET-VALUED MAPPING; SLOPE INFORMATION;

EID: 84865565505     PISSN: 14397358     EISSN: None     Source Type: Book Series    
DOI: 10.1007/978-3-642-30023-3_11     Document Type: Conference Paper
Times cited : (13)

References (11)
  • 4
    • 77953225791 scopus 로고    scopus 로고
    • Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation
    • 2nd edn. Other Titles in SIAM, Philadelphia, PA
    • Griewank, A., Walther, A.: Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation, 2nd edn. No. 105 in Other Titles in AppliedMathematics. SIAM, Philadelphia, PA (2008). URL http://www.ec-securehost. com/SIAM/OT105.html
    • (2008) AppliedMathematics , Issue.105
    • Griewank, A.1    Walther, A.2
  • 5
    • 71749084620 scopus 로고    scopus 로고
    • On the computation of an element of Clarke generalized Jacobian for a vector-valued max function
    • Huang, Z.D., Ma, G.C.: On the computation of an element of Clarke generalized Jacobian for a vector-valued max function. Nonlinear Anal-Theor 72, 998-1009 (2010)
    • (2010) Nonlinear Anal-Theor , vol.72 , pp. 998-1009
    • Huang, Z.D.1    Ma, G.C.2
  • 6
    • 0003970531 scopus 로고
    • Methods of Descent for Nondifferentiable Optimization
    • Springer- Verlag, Berlin
    • Kiwiel, K.C.: Methods of Descent for Nondifferentiable Optimization. Lecture Notes in Mathematics. Springer-Verlag, Berlin (1985)
    • (1985) Lecture Notes in Mathematics
    • Kiwiel, K.C.1
  • 7
    • 0000851851 scopus 로고
    • On a bundle algorithm for nonsmooth optimization
    • O.L.Mangasarian, R.R.Meyer, S.M. Robinson (eds.) Academic Press, New York, NY
    • Lemaréchal, C., Strodiot, J.J., Bihain, A.: On a bundle algorithm for nonsmooth optimization. In: O.L.Mangasarian, R.R.Meyer, S.M. Robinson (eds.) Nonlinear Programming 4. Academic Press, New York, NY (1994)
    • (1994) Nonlinear Programming , vol.4
    • Lemaréchal, C.1    Strodiot, J.J.2    Bihain, A.3
  • 8
    • 0002450587 scopus 로고    scopus 로고
    • A bundle-Newton method for nonsmooth unconstrained minimization
    • Luksǎn, L., Vlček, J.: A bundle-Newton method for nonsmooth unconstrained minimization. Math Program 83, 373-391 (1998)
    • (1998) Math Program , vol.83 , pp. 373-391
    • Luksǎn, L.1    Vlček, J.2
  • 9
    • 70450198575 scopus 로고    scopus 로고
    • McCormick-based relaxations of algorithms
    • Mitsos, A., Chachuat, B., Barton, P.I.: McCormick-based relaxations of algorithms. SIAM J Optim 20, 573-601 (2009)
    • (2009) SIAM J Optim , vol.20 , pp. 573-601
    • Mitsos, A.1    Chachuat, B.2    Barton, P.I.3
  • 10
    • 27244433667 scopus 로고    scopus 로고
    • Lexicographic differentiation of nonsmooth functions
    • Nesterov, Y.: Lexicographic differentiation of nonsmooth functions. Math Program B 104, 669-700 (2005)
    • (2005) Math Program B , vol.104 , pp. 669-700
    • Nesterov, Y.1
  • 11
    • 0003775639 scopus 로고
    • Habilitation Thesis, Institut für Statistik und Mathematische Wirtschaftstheorie, University of Karlsruhe
    • Scholtes, S.: Introduction to piecewise differentiable equations (1994). Habilitation Thesis, Institut für Statistik und Mathematische Wirtschaftstheorie, University of Karlsruhe
    • (1994) Introduction to Piecewise Differentiable Equations
    • Scholtes, S.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.