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Volumn 15, Issue 2, 2000, Pages 103-123

Quasi-Newton quadratic penalty method for minimization subject to nonlinear equality constraints

Author keywords

[No Author keywords available]

Indexed keywords

ALGORITHMS; APPROXIMATION THEORY; CONSTRAINT THEORY; CONVERGENCE OF NUMERICAL METHODS; FUNCTIONS; ITERATIVE METHODS; MATRIX ALGEBRA; NONLINEAR EQUATIONS;

EID: 0033904720     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008730909894     Document Type: Article
Times cited : (8)

References (18)
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    • (1972) Numerical Methods for Nonlinear Optimization , pp. 411-428
    • Bartholomew-Biggs, M.C.1
  • 2
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    • P.T. Boggs, J.W. Tolls, and P. Wang, "On the local convergence of quasi-Newton methods for constrained optimization," SIAM Journal of Control and Optimization, vol. 20, pp. 161-171, 1982.
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    • Boggs, P.T.1    Tolls, J.W.2    Wang, P.3
  • 4
    • 0025791660 scopus 로고
    • An analysis of reduced Hessian methods for constrained optimization
    • R.H. Byrd and J. Nocedal, "An analysis of reduced Hessian methods for constrained optimization," Mathematical Programming, vol. 49, pp. 285-323, 1991.
    • (1991) Mathematical Programming , vol.49 , pp. 285-323
    • Byrd, R.H.1    Nocedal, J.2
  • 5
    • 0022721846 scopus 로고
    • Continuity of the null space basis and constrained optimization
    • R.H. Byrd and R.B. Schnabel, "Continuity of the null space basis and constrained optimization," Mathematical Programming, vol. 35, pp. 32-41, 1986.
    • (1986) Mathematical Programming , vol.35 , pp. 32-41
    • Byrd, R.H.1    Schnabel, R.B.2
  • 6
    • 0008523983 scopus 로고
    • On characterizations of superlinear convergence for constrained optimization
    • T.F. Coleman, "On characterizations of superlinear convergence for constrained optimization," Lectures in Applied Mathematics, vol. 26, pp. 113-133, 1990.
    • (1990) Lectures in Applied Mathematics , vol.26 , pp. 113-133
    • Coleman, T.F.1
  • 7
    • 0021477252 scopus 로고
    • On the local convergence of a quasi-Newton method for the nonlinear programming problem
    • T.F. Coleman and A.R. Conn, "On the local convergence of a quasi-Newton method for the nonlinear programming problem," SIAM Journal on Numerical Analysis, vol. 21, pp. 755-769, 1984.
    • (1984) SIAM Journal on Numerical Analysis , vol.21 , pp. 755-769
    • Coleman, T.F.1    Conn, A.R.2
  • 8
    • 0000761866 scopus 로고
    • Computing a trust region step for a penalty function
    • T.F. Coleman and C. Hempel, "Computing a trust region step for a penalty function," SIAM Journal on Scientific Computing, vol. 11, pp. 180-201, 1990.
    • (1990) SIAM Journal on Scientific Computing , vol.11 , pp. 180-201
    • Coleman, T.F.1    Hempel, C.2
  • 11
    • 0000669027 scopus 로고
    • Local convergence of secant methods for nonlinear constrained optimization
    • R. Fontecilla, "Local convergence of secant methods for nonlinear constrained optimization," SIAM Journal on Numerical Analysis, vol. 25, pp. 692-712, 1988.
    • (1988) SIAM Journal on Numerical Analysis , vol.25 , pp. 692-712
    • Fontecilla, R.1
  • 12
    • 0001837582 scopus 로고
    • Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization
    • D. Gabay, "Reduced quasi-Newton methods with feasibility improvement for nonlinearly constrained optimization," Mathematical Programming Study, vol. 16, pp. 18-44, 1982.
    • (1982) Mathematical Programming Study , vol.16 , pp. 18-44
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  • 13
    • 0001087725 scopus 로고
    • On the accurate determination of search directions for simple differentiable penalty functions
    • N.I.M. Gould, "On the accurate determination of search directions for simple differentiable penalty functions," I.M.A. Journal on Numerical Analysis, vol. 6, pp. 357-372, 1986.
    • (1986) I.M.A. Journal on Numerical Analysis , vol.6 , pp. 357-372
    • Gould, N.I.M.1
  • 14
    • 0000976514 scopus 로고
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  • 15
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    • Analysis and implementation of a dual algorithm for constrained optimization
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  • 17
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  • 18
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    • (1985) SIAM Journal on Numerical Analysis , vol.22 , pp. 821-850
    • Nocedal, J.1    Overton, M.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.