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Volumn 19, Issue 1 SPEC. ISS., 2004, Pages 89-102

A DC piecewise affine model and a bundling technique in nonconvex nonsmooth minimization

Author keywords

Bundle methods; Cutting planes; DC functions; Nonsmooth optimization

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; FUNCTIONS; PIECEWISE LINEAR TECHNIQUES; PROBLEM SOLVING; THEOREM PROVING;

EID: 1542285805     PISSN: 10556788     EISSN: None     Source Type: Journal    
DOI: 10.1080/10556780410001648112     Document Type: Article
Times cited : (56)

References (16)
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    • Restricted step and Levenberg-Marquardt techniques in proximal bundle methods for nonconvex nondifferentiable optimization
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    • Kiwiel, K.C.1
  • 3
    • 0000091855 scopus 로고
    • A version of the bundle idea for minimizing a nonsmooth function: Conceptual idea, convergence analysis
    • H. Schramm and J. Zowe (1992). A version of the bundle idea for minimizing a nonsmooth function: conceptual idea, convergence analysis. SIAM Journal on Optimization, 1, 121-152.
    • (1992) SIAM Journal on Optimization , vol.1 , pp. 121-152
    • Schramm, H.1    Zowe, J.2
  • 5
    • 4043148628 scopus 로고    scopus 로고
    • Minimizing nonconvex nonsmooth functions via cutting planes and proximity controls
    • (to appear)
    • A. Fuduli, M. Gaudioso and G. Giallombardo (2003). Minimizing nonconvex nonsmooth functions via cutting planes and proximity controls. SIAM Journal on Optimization (to appear).
    • (2003) SIAM Journal on Optimization
    • Fuduli, A.1    Gaudioso, M.2    Giallombardo, G.3
  • 8
    • 0000882113 scopus 로고
    • Newton's method for convex programming and Tchebycheff approximation
    • E.W. Cheney and A.A. Goldstein (1959). Newton's method for convex programming and Tchebycheff approximation. Numerische Mathematik, 1, 253-268.
    • (1959) Numerische Mathematik , vol.1 , pp. 253-268
    • Cheney, E.W.1    Goldstein, A.A.2
  • 9
    • 0001547779 scopus 로고
    • The cutting-plane method for solving convex programs
    • J.E. Kelley (1960). The cutting-plane method for solving convex programs. Journal of SIAM, 8, 703-712.
    • (1960) Journal of SIAM , vol.8 , pp. 703-712
    • Kelley, J.E.1
  • 12
    • 0000009213 scopus 로고
    • An algorithm for constrained optimization with semismooth functions
    • R. Mifflin (1977). An algorithm for constrained optimization with semismooth functions. Mathematics of Operations Research, 2, 191-207.
    • (1977) Mathematics of Operations Research , vol.2 , pp. 191-207
    • Mifflin, R.1
  • 14
    • 0020912156 scopus 로고
    • An aggregate subgradient method for nonsmooth convex minimization
    • K.C. Kiwiel (1983). An aggregate subgradient method for nonsmooth convex minimization. Mathematical Programming, 27, 320-341.
    • (1983) Mathematical Programming , vol.27 , pp. 320-341
    • Kiwiel, K.C.1
  • 15
    • 4043154785 scopus 로고    scopus 로고
    • Test problems for nonsmooth unconstrained and linearly constrained optimization
    • Tech. Report 798, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague
    • L. Lukš and J. Vlček (2000). Test problems for nonsmooth unconstrained and linearly constrained optimization. Tech. Report 798, Institute of Computer Science, Academy of Sciences of the Czech Republic, Prague, pp. 1-34.
    • (2000) , pp. 1-34
    • Lukš, L.1    Vlček, J.2
  • 16
    • 0040780606 scopus 로고    scopus 로고
    • Globally convergent variable metric method for nonconvex nondifferentiable unconstrained minimization
    • J. Vlček and L. Luksǎn (2001). Globally convergent variable metric method for nonconvex nondifferentiable unconstrained minimization. Journal of Optimization Theory and Applications, 111, 407-430.
    • (2001) Journal of Optimization Theory and Applications , vol.111 , pp. 407-430
    • Vlček, J.1    Luksǎn, L.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.