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Volumn 123, Issue 3, 2004, Pages 497-517

Augmented lagrangian algorithms based on the spectral projected gradient method for solving nonlinear programming problems

Author keywords

Augmented Lagrangian methods; Barzilai Borwein method; bound constrained problems; large scale problems; nonmonotone line search; projected gradient methods

Indexed keywords

GRADIENT METHODS; LAGRANGE MULTIPLIERS; NONLINEAR PROGRAMMING; PROBLEM SOLVING;

EID: 8644224162     PISSN: 00223239     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10957-004-5720-5     Document Type: Article
Times cited : (22)

References (20)
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    • Birgin, E.G.1    Martínez, J.M.2    Raydan, M.3
  • 3
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    • On the Barzilai and Borwein Choice of Steplength for the Gradient Method
    • RAYDAN, M., On the Barzilai and Borwein Choice of Steplength for the Gradient Method, IMA Journal of Numerical Analysis, Vol. 13, pp. 321-326, 1993.
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    • Raydan, M.1
  • 4
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    • The Barzilai and Borwein Gradient Method for Large-Scale Unconstrained Minimization Problems
    • RAYDAN, M., The Barzilai and Borwein Gradient Method for Large-Scale Unconstrained Minimization Problems, SIAM Journal on Optimization, Vol. 7, pp. 26-33, 1997.
    • (1997) SIAM Journal on Optimization , vol.7 , pp. 26-33
    • Raydan, M.1
  • 6
    • 8644259820 scopus 로고    scopus 로고
    • An Assessment of the Preconditioned Gradient Method with Retards for Parallel Computers
    • to appear
    • MOLINA, B., PETITON, S., and RAYDAN, M., An Assessment of the Preconditioned Gradient Method with Retards for Parallel Computers, Computational and Applied Mathematics (to appear).
    • Computational and Applied Mathematics
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  • 8
    • 0033237258 scopus 로고    scopus 로고
    • Restricted Optimization: Clue to a Fast and Accurate Implementation of the Common Reflection Surface Method
    • BIRGIN, E. G., BILOTI, R., TYGEL, M., and SANTOS, L. T., Restricted Optimization: Clue to a Fast and Accurate Implementation of the Common Reflection Surface Method, Journal of Applied Geophysics, Vol. 42, pp. 143-155, 1999.
    • (1999) Journal of Applied Geophysics , vol.42 , pp. 143-155
    • Birgin, E.G.1    Biloti, R.2    Tygel, M.3    Santos, L.T.4
  • 9
    • 0001384606 scopus 로고    scopus 로고
    • Estimation of Optical Constants of Thin Films Using Unconstrained Optimization
    • BIRGIN, E. G., CHAMBOULEYRON, I., and MARTÍNEZ, J. M., Estimation of Optical Constants of Thin Films Using Unconstrained Optimization, Journal of Computational Physics, Vol. 151, pp. 862-880, 1999.
    • (1999) Journal of Computational Physics , vol.151 , pp. 862-880
    • Birgin, E.G.1    Chambouleyron, I.2    Martínez, J.M.3
  • 10
    • 0000222244 scopus 로고    scopus 로고
    • Automatic Differentiation and Spectral Projected Gradient Methods for Optimal Control Problems
    • BIRGIN, E. G., and EVTUSHENKO, Y. G., Automatic Differentiation and Spectral Projected Gradient Methods for Optimal Control Problems, Optimization Methods and Software, Vol. 10, pp. 125-146, 1998.
    • (1998) Optimization Methods and Software , vol.10 , pp. 125-146
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  • 11
    • 0343795911 scopus 로고    scopus 로고
    • Low Cost Optimization Techniques for Solving the Nonlinear Seismic Reflection Tomography Problem
    • CASTILLO, Z., CORES, D., and RAYDAN, M., Low Cost Optimization Techniques for Solving the Nonlinear Seismic Reflection Tomography Problem, Optimization and Engineering, Vol. 1, pp. 155-169, 2000.
    • (2000) Optimization and Engineering , vol.1 , pp. 155-169
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  • 12
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    • Determination of Thickness and Optical Constants of Amorphous Silicon Films from Transmittance Data
    • MULATO, M., CHAMBOULEYRON, I., BIRGIN, E.G., and MARTÍNEZ, J. M., Determination of Thickness and Optical Constants of Amorphous Silicon Films from Transmittance Data, Applied Physics Letters, Vol. 77, pp. 2133-2135, 2000.
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  • 14
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    • A Globally Convergent Augmented Lagrangian Algorithm for Optimization with General Constraints and Simple Bounds
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    • Conn, A.R.1    Gould, N.I.M.2    Toint, P.L.3


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.