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Volumn 16, Issue 3, 2000, Pages 247-263

Validation of an Augmented Lagrangian algorithm with a Gauss-Newton Hessian approximation using a set of Hard-Spheres problems

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ITERATIVE METHODS; NUMERICAL METHODS; QUADRATIC PROGRAMMING;

EID: 0342572634     PISSN: 09266003     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008716329104     Document Type: Article
Times cited : (35)

References (20)
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    • (1988) SIAM Journal on Numerical Analysis , vol.25 , pp. 433-460
    • Conn, A.R.1    Gould, N.I.M.2    Toint, Ph.L.3
  • 3
    • 0001623391 scopus 로고
    • A.R. Conn, N.I.M. Gould, and Ph.L. Toint, "Global convergence of a class of trust region algorithms for optimization with simple bounds," SIAM Journal on Numerical Analysis, vol. 25, pp. 433-460, 1988. See also SIAM Journal on Numerical Analysis, vol. 26, pp. 764-767, 1989.
    • (1989) SIAM Journal on Numerical Analysis , vol.26 , pp. 764-767
  • 4
    • 0026136104 scopus 로고
    • A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds
    • A.R. Conn, N.I.M. Gould, and Ph.L. Toint, "A globally convergent augmented Lagrangian algorithm for optimization with general constraints and simple bounds," SIAM Journal on Numerical Analysis, vol. 28, pp. 545-572, 1991.
    • (1991) SIAM Journal on Numerical Analysis , vol.28 , pp. 545-572
    • Conn, A.R.1    Gould, N.I.M.2    Toint, Ph.L.3
  • 8
    • 0010764139 scopus 로고    scopus 로고
    • Comparing the numerical performance of two trust-region algorithms for large-scale bound-constrained minimization
    • Department of Mathematics, Universidade Federal do Paraná, Brazil, R.J.B. Sampaio and J.Y Yuan (Eds.)
    • M.A. Diniz-Ehrhardt, M.A. Gomes-Ruggiero, and S.A. Santos, "Comparing the numerical performance of two trust-region algorithms for large-scale bound-constrained minimization," in International Workshop of Numerical Algebra and Optimization, Department of Mathematics, Universidade Federal do Paraná, Brazil, 1997, R.J.B. Sampaio and J.Y Yuan (Eds.), pp. 23, 24.
    • (1997) International Workshop of Numerical Algebra and Optimization , pp. 23
    • Diniz-Ehrhardt, M.A.1    Gomes-Ruggiero, M.A.2    Santos, S.A.3
  • 9
    • 0032631490 scopus 로고    scopus 로고
    • Augmented Lagrangians with adaptative precision control for quadratic programming with equality constraints
    • Z. Dostál, A. Friedlander, and S.A. Santos, "Augmented Lagrangians with adaptative precision control for quadratic programming with equality constraints," Computational Optimization and Applications, vol. 14, pp. 37-53, 1999.
    • (1999) Computational Optimization and Applications , vol.14 , pp. 37-53
    • Dostál, Z.1    Friedlander, A.2    Santos, S.A.3
  • 10
    • 0000064079 scopus 로고
    • On the maximization of a concave quadratic function with box constraints
    • A. Friedlander and J.M. Martínez, "On the maximization of a concave quadratic function with box constraints," SIAM Journal on Optimization, vol. 4, pp. 177-192, 1994.
    • (1994) SIAM Journal on Optimization , vol.4 , pp. 177-192
    • Friedlander, A.1    Martínez, J.M.2
  • 12
    • 0000480619 scopus 로고    scopus 로고
    • Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters
    • F.M. Gomes, M.C. Maciel, and J.M. Martínez, "Nonlinear programming algorithms using trust regions and augmented Lagrangians with nonmonotone penalty parameters," Mathematical Programming, vol. 84, pp. 161-200, 1999.
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    • Gomes, F.M.1    Maciel, M.C.2    Martínez, J.M.3
  • 14
    • 0027889239 scopus 로고
    • Analysis and implementation of a dual algorithm for constraint optimization
    • W.W. Hager, "Analysis and implementation of a dual algorithm for constraint optimization," Journal of Optimization Theory and Applications, vol. 79, pp. 427-462, 1993.
    • (1993) Journal of Optimization Theory and Applications , vol.79 , pp. 427-462
    • Hager, W.W.1
  • 16
    • 4243258367 scopus 로고    scopus 로고
    • Augmented Lagrangians and the resolution of packing problems
    • Institute of Mathematics, University of Campinas, Brazil
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  • 17
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    • A two-phase model algorithm with global convergence for nonlinear programming
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* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.