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Volumn 46, Issue 3, 2001, Pages 215-229

Newton methods for solving two classes of nonsmooth equations

Author keywords

Approximate Newton method; Composite function; Convergence; Max type function; Newton method; Nonsmooth equations

Indexed keywords


EID: 0347667574     PISSN: 08627940     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1013791923957     Document Type: Article
Times cited : (9)

References (10)
  • 1
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    • Variational principle with nonlinear complementarity for three dimensional contact problems and its numerical method
    • W. Chen, G. Chen and E. Feng: Variational principle with nonlinear complementarity for three dimensional contact problems and its numerical method. Sci. China Ser. A 39 (1996), 528-539.
    • (1996) Sci. China Ser. A , vol.39 , pp. 528-539
    • Chen, W.1    Chen, G.2    Feng, E.3
  • 2
    • 0030678841 scopus 로고    scopus 로고
    • A verification method for solutions of nonsmooth equations
    • X. Chen: A verification method for solutions of nonsmooth equations. Computing 58 (1997), 281-294.
    • (1997) Computing , vol.58 , pp. 281-294
    • Chen, X.1
  • 5
    • 0007472278 scopus 로고    scopus 로고
    • Second-order directional derivatives for max-type functions
    • In Chinese
    • F. Meng, Y. Gao and Z. Xia: Second-order directional derivatives for max-type functions. J. Dalian Univ. Tech. 38 (1998), 621-624. (In Chinese.)
    • (1998) J. Dalian Univ. Tech. , vol.38 , pp. 621-624
    • Meng, F.1    Gao, Y.2    Xia, Z.3
  • 6
    • 0000012763 scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • M. Mifflin: Semismooth and semiconvex functions in constrained optimization. SIAM J. Control Optim. 15 (1977), 959-972.
    • (1977) SIAM J. Control Optim. , vol.15 , pp. 959-972
    • Mifflin, M.1
  • 8
    • 0000607524 scopus 로고
    • Convergence analysis of some algorithms for solving nonsmooth equations
    • L. Qi: Convergence analysis of some algorithms for solving nonsmooth equations. Math. Oper. Res. 18 (1993), 227-244.
    • (1993) Math. Oper. Res. , vol.18 , pp. 227-244
    • Qi, L.1
  • 9
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • L. Qi, J. Sun: A nonsmooth version of Newton's method. Math. Programming 58 (1993), 353-367.
    • (1993) Math. Programming , vol.58 , pp. 353-367
    • Qi, L.1    Sun, J.2
  • 10
    • 0031493529 scopus 로고    scopus 로고
    • Newton and quasi-Newton methods for a class of nonsmooth equations and related problems
    • D. Sun, J. Han: Newton and quasi-Newton methods for a class of nonsmooth equations and related problems. SIAM J. Optim. 7 (1997), 463-480.
    • (1997) SIAM J. Optim. , vol.7 , pp. 463-480
    • Sun, D.1    Han, J.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.