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Volumn 196, Issue 1, 1995, Pages 314-331

Local uniqueness and convergence of iterative methods for nonsmooth variational inequalities

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EID: 0001436781     PISSN: 0022247X     EISSN: 10960813     Source Type: Journal    
DOI: 10.1006/jmaa.1995.1412     Document Type: Article
Times cited : (36)

References (26)
  • 1
    • 0028385352 scopus 로고
    • Local analysis of Newton-type methods for variational inequalities and nonlinear programming
    • J. F. Bonnans, Local analysis of Newton-type methods for variational inequalities and nonlinear programming, App J. Math. Optim. 29 (1994), 161-186.
    • (1994) App J. Math. Optim , vol.29 , pp. 161-186
    • Bonnans, J.F.1
  • 2
    • 0000436840 scopus 로고
    • On the convergence of Broyden-like methods for nonlinear equations with nondifferentiable terms
    • X. Chen, On the convergence of Broyden-like methods for nonlinear equations with nondifferentiable terms, Ann. Inst. Statist. Math. 42 (1990), 387-401.
    • (1990) Ann. Inst. Statist. Math , vol.42 , pp. 387-401
    • Chen, X.1
  • 4
    • 0344704362 scopus 로고
    • Finite-dimensional variational inequality and nonlinear complementarity problem: A survey of theory, algorithms and applications
    • P. T. Harker and J. S. Pang, Finite-dimensional variational inequality and nonlinear complementarity problem: A survey of theory, algorithms and applications, Math. Programming 48 (1990), 161-220.
    • (1990) Math. Programming , vol.48 , pp. 161-220
    • Harker, P.T.1    Pang, J.S.2
  • 5
    • 84983617288 scopus 로고
    • Technical Report, Mathematics Research Center, University of Wisconsin, Madison
    • N. H. Josephy, “Newton Method for Generalized Equations,” Technical Report 1965, Mathematics Research Center, University of Wisconsin, Madison, 1979.
    • (1965) Newton Method for Generalized Equations
    • Josephy, N.H.1
  • 6
    • 34249843405 scopus 로고
    • Sensitivity analysis for nonsmooth generalized equations
    • A. J. King and R. T. Rockafellar, Sensitivity analysis for nonsmooth generalized equations, Math. Programming 55 (1992), 193-212.
    • (1992) Math. Programming , vol.55 , pp. 193-212
    • King, A.J.1    Rockafellar, R.T.2
  • 7
    • 0022795286 scopus 로고
    • Uniqueness and differentiability of solutions of parametric nonlinear complementarity problems
    • J. Kyparisis, Uniqueness and differentiability of solutions of parametric nonlinear complementarity problems. Math. Programming 36 (1986), 105-113.
    • (1986) Math. Programming , vol.36 , pp. 105-113
    • Kyparisis, J.1
  • 8
    • 0001763831 scopus 로고
    • Inexact Newton methods for solving nonsmooth equations
    • J. M. Martinez and L. Qi, Inexact Newton methods for solving nonsmooth equations, J. Comput. Appl. Math. 60 (1995).
    • (1995) J. Comput. Appl. Math , pp. 60
    • Martinez, J.M.1    Qi, L.2
  • 9
    • 0000012763 scopus 로고
    • Semismooth and semiconvex functions in constrained optimization
    • R. 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, R.1
  • 10
    • 0000009213 scopus 로고
    • An algorithm for constrained optimization with semismooth functions
    • R. Mifflin, An algorithm for constrained optimization with semismooth functions, Math. Oper. Res. 2 (1977), 191-207.
    • (1977) Math. Oper. Res , vol.2 , pp. 191-207
    • Mifflin, R.1
  • 13
    • 0022792007 scopus 로고
    • Inexact Newton methods for the nonlinear complementarity problem
    • J. S. Pang, Inexact Newton methods for the nonlinear complementarity problem. Math. Programming 36 (1986), 54-71.
    • (1986) Math. Programming , vol.36 , pp. 54-71
    • Pang, J.S.1
  • 14
    • 0003000071 scopus 로고
    • Complementarity problems
    • (R. Horst and P. Pardalos. Eds.), Kluwer Academic, Boston
    • J. S. Pang, Complementarity problems, in “Handbook of Global Optimization” (R. Horst and P. Pardalos. Eds.), Kluwer Academic, Boston, 1994.
    • (1994) Handbook of Global Optimization
    • Pang, J.S.1
  • 15
    • 0003317924 scopus 로고
    • Nonsmooth equations: Motivation and algorithms
    • J. S. Pang and L. Qi, Nonsmooth equations: Motivation and algorithms, SIAM J. Optim. 3 (1993), 443-465.
    • (1993) SIAM J. Optim , vol.3 , pp. 443-465
    • Pang, J.S.1    Qi, L.2
  • 16
    • 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
  • 17
    • 0003204823 scopus 로고
    • Trust region algorithms for solving nonsmooth equations
    • L. Qi, Trust region algorithms for solving nonsmooth equations, SIAM J. Optim. 5 (1995), 219-230.
    • (1995) SIAM J. Optim , vol.5 , pp. 219-230
    • Qi, L.1
  • 18
    • 0029276590 scopus 로고
    • A globally convergent successive approximation methods for nonsmooth equations
    • L. Qi and X. Chen, A globally convergent successive approximation methods for nonsmooth equations, SIAM J. Control Optim. 33 (1995), 402-418.
    • (1995) SIAM J. Control Optim , vol.33 , pp. 402-418
    • Qi, L.1    Chen, X.2
  • 19
    • 0027543961 scopus 로고
    • A nonsmooth version of Newton's method
    • L. Qi and J. Sun, A nonsmooth version of Newton's method. Math. Programming 58 (1993), 353-368.
    • (1993) Math. Programming , vol.58 , pp. 353-368
    • Qi, L.1    Sun, J.2
  • 20
    • 0022012772 scopus 로고
    • The strong positivity conditions
    • A. Renoza, The strong positivity conditions. Math. Oper. Res. 10 (1985), 54-62.
    • (1985) Math. Oper. Res , vol.10 , pp. 54-62
    • Renoza, A.1
  • 21
    • 0002939936 scopus 로고
    • Generalized equations
    • A, Bachem, M. Grotschel and B. Korte, Eds, Springer-Verlag, Berlin/New York
    • S. M. Robinson, Generalized equations, in "Mathematical Programming: The State of the Art" (A, Bachem, M. Grotschel and B. Korte, Eds.), pp. 346-367, Springer-Verlag, Berlin/New York, 1983.
    • (1983) Mathematical Programming: The State of The Art , pp. 346-367
    • Robinson, S.M.1
  • 22
    • 0018977011 scopus 로고
    • Strongly regular generalized equation
    • S. M. Robinson, Strongly regular generalized equation. Math. Oper. Res. 5 (1980), 43-61.
    • (1980) Math. Oper. Res , vol.5 , pp. 43-61
    • Robinson, S.M.1
  • 23
    • 0000306237 scopus 로고
    • Newton's method for a class of nonsmooth equations
    • S. M. Robinson, Newton's method for a class of nonsmooth equations, Set-Valued Analysis 2 (1994), 291-305.
    • (1994) Set-Valued Analysis , vol.2 , pp. 291-305
    • Robinson, S.M.1
  • 25
    • 0022488197 scopus 로고
    • Sensitivity analysis for variational inequalities
    • R. L. Tobin, Sensitivity analysis for variational inequalities, J. Optim. Theory Appl. 48 (1986), 191-204.
    • (1986) J. Optim. Theory Appl , vol.48 , pp. 191-204
    • Tobin, R.L.1
  • 26
    • 0023344904 scopus 로고
    • The majorant method in the theory of Newton-Kontorovich approximations and the Ptak error estimates
    • P. P. Zabrejko and D. F. Nguyen, The majorant method in the theory of Newton-Kontorovich approximations and the Ptak error estimates, Numer. Fund. Anal. Optim. 9 (1987), 671-684.
    • (1987) Numer. Fund. Anal. Optim , vol.9 , pp. 671-684
    • Zabrejko, P.P.1    Nguyen, D.F.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.